Under construction:Strategic Bombing Raid OOB & House ruled method and numbers

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  • baron MünchhausenB
    '17 '16

    1942.2 SBR HR#1, simpler

    Strategic Bomber
    Attack 0
    Damage 1D6, 1D6+2, 1D6+3
    Cost 12

    Fighter
    Attack 1
    Defense 1
    Cost 10

    @Baron:

    The two opening posts are now revised and completed.
    Hope you will find some daring ideas and
    useful maths tables when developping your own SBR rules or just pondering if one bombing raid with such units against such other units worth the risk or not.

    Down below here is a completly different way of doing SBR for 1942.2

    Strategic Bomber in air-to-air combat SBR:
    Attack 0
    Bombard IC damage: 1D6+2

    Fighter in air-to-air combat SBR:
    Attack 1
    Defend 1

    IC’s AAA: @1 against each Strategic Bomber

    1942.2 SBR HRules with StB A0 and Fg A1 D1 : damage 1D6+2

    1 Strategic Bomber doing SBR against no interceptor

    AAA roll = odds casualties

    5/6 StB survived * 5.5 IPCs = +4.583 IPCs *3.5= +2.917 *6.5= 5.417
    1/6 StB killed *12 IPCs = -2 IPCs

    D6: +2.917-2= 0.917 IPCs
    D6+2: + 4.583 - 2 = +2.583 IPCs damage/SBR
    D6+3: +5.417 -2 = +3.417 IPCs

    1 Strategic Bomber Att 0 doing SBR against 1 interceptor Def 1

    Interceptor Fg roll/ AAA roll = odds casualties

    1/66/6 = 6/36 1 StB killed by Fg
    5/6    1/6 = 5/36 1 StB killed by AAA
    5/6*5/6 = 25/36 No casualty at all.

    Results:
    Bombard on IC 25/36* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.819 IPCs *3.5= 2.431 *6.5=+4.514
    StB killed 11/36 *-12 IPCs = - 3.667 IPCs

    D6: + 2.431 - 3.667 = -1.236
    D6+2: + 3.819 - 3.667 = + 0.152 IPC damage/SBR
    D6+3: +4.514 - 3.667 = +0.847

    1 Strategic Bomber Att 0 doing SBR against 2 interceptors Def 1

    Interceptors Fgs roll/ AAA roll = odds casualties

    11/366/6 = 66/216 1 StB killed by Fg
    25/36    1/6 = 25/216 1 StB killed by AAA
    25/36*5/6 = 125/216 No casualty at all.

    Results:
    Bombard on IC 125/216* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.183 IPCs *3.5= 2.025 *6.5=+3.762
    StB killed 91/216 *-12 IPCs = - 5.056 IPCs

    D6: + 2.025 - 5.056 = -3.031 IPCs
    D6+2: + 3.183 - 5.056 = - 1.873 IPC damage/SBR
    D6+3: +3.762 -5.056 = -1.294 IPCs

    1 Fighter Att 1 and 1 Strategic Bomber Att 0 doing SBR against 2 interceptors Def 1

    Fighter roll/interceptors Fgs roll/ AAA roll = odds casualties

    1/61/366/6 = 6/1296 1 Fg and 1 StB killed by Fgs vs 1 Fg
    1/610/361/6= 10/1296 1 Fg killed by Fg and 1 StB killed by AAA vs 1 Fg
    1/610/365/6= 50/1296 1 Fg killed by Fg vs 1 Fg
    1/625/361/6 = 25/1296 1 StB killed by AAA
    1/625/365/6 = 125/1296 No casualty vs 1 Fg

    5/620/366/6 = 600/1296 1 Fg and 1 StB killed by Fg vs no casualty
    5/616/361/6 = 80/1296 1 Fg killed by Fg and 1 StB killed by AAA vs no casualty
    5/616/365/6 = 400/1296 no casualty at all

    Results:
    Bombard on IC: 1050/1296 * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.456 IPCs 3.5= +2.836 6.5=+5.266
    Killing 1 Fg: 216/1296 +10 IPCs = + 1.667 IPCs
    Fg killed: 300/1296    -10 IPCs = - 2.315 IPCs
    StB killed: 150/1296    -12 IPCs = - 1.389IPCs
    StB & Fg killed: 96/1296    -22 IPCs = - 1.630 IPCs

    D6: +4.503 - 5.334 = -0.831 IPCs
    D6+2: + 6.123 - 5.334 = + 0.789 IPC damage/SBR
    D6+3: +6.893 - 5.334 = +1.559 IPCs

    1 Fighter Att 1 and 1 Strategic Bomber Att 0 doing SBR against 1 interceptor Def 1

    Fighter roll/interceptor Fg roll/ AAA roll = odds casualties

    1/61/61/6= 1/216 1 Fg killed by Fg and 1 StB killed by AAA vs 1 Fg
    1/61/65/6= 5/216 1 Fg killed by Fg vs 1 Fg
    1/65/61/6 = 5/216 1 StB killed by AAA vs 1 Fg
    1/65/65/6 = 25/216 No casualty vs 1 Fg

    5/61/61/6 = 5/216 1 Fg killed by Fg and 1 StB killed by AAA vs no casualty
    5/61/65/6 = 25/216 1 Fg killed by Fg vs no casualty
    5/65/61/6 = 25/216 1 StB killed by AAA vs no casualty
    5/65/65/6 = 125/216 no casualty at all

    Results:
    Bombard on IC: 180/216 * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs 3.5= +0.833 6.5=+5.417
    Killing 1 Fg: 36/216 +10 IPCs = + 1.667 IPCs
    Fg killed:30/216    -10 IPCs = - 1.389 IPCs
    StB killed: 30/216    -12 IPCs = - 1.667 IPCs
    StB & Fg killed: 6/216    -22 IPCs = - 0.611 IPC

    D6: +2.500 - 3.667 = -1.167 IPCs
    D6+2: + 6.250 - 3.667 = + 2.583 IPC damage/SBR
    D6+3: +7.084 - 3.667 = + 3.417 IPCs

    2 Strategic Bombers Att 0 doing SBR against 2 interceptors Def 1

    Interceptor Fgs roll/ AAA roll = odds casualties

    1/3636/36= 36/1296 2 StBs killed by Fgs
    10/36    6/36 = 60/1296 1 StB killed by Fg and 1 StB killed by AAA
    10/6*30/36= 300/1296 1 StB killed by Fg

    25/361/36 = 25/1296 2 StBs killed by AAA
    25/36    10/36 = 250/1296 1 StB killed by AAA
    25/36*25/36 = 625/1296 No casualty at all.

    Results:
    2x Bombard on IC 625/1296* ((2+4)+(12+4) IPCs)/2= +11 IPCs) = +5.305 IPCs *7=+3.378 13=+6.269
    1x Bombard on IC 550/1296     ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.334 IPCs 3.5=+1.485 6.5=+2.758
    2 StBs killed 121/1296    -24 IPCs = - 2.241 IPCs
    1 StB killed 550/1296    -12 IPCs = - 5.093 IPCs

    D6: +4.863 - 7.334= -2.471 IPCs
    D6+2: + 7.639 - 7.334 = + 0.305 IPCs damage/SBR
    D6+3: +9.027 - 7.334= +1.693 IPCs

    2 Strategic Bombers Att 0 doing SBR against 1 interceptor Def 1

    Interceptor Fg roll/ AAA roll = odds casualties

    1/66/36 = 6/216 1 StB killed by Fg and 1 StB killed by AAA
    1/6    30/36= 30/216 1 StB killed by Fg
    5/61/36 = 5/216 2 StBs killed by AAA
    5/6    10/36 = 50/216 1 StB killed by AAA
    5/6*25/36 = 125/216 No casualty at all.

    Results:
    2x Bombard on IC 125/216* ((2+4)+(12+4) IPCs)/2= +11 IPCs) = +6.366 IPCs *7=+4.051 13=+7.523
    1x Bombard on IC 80/216     ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.037 IPCs 3.5=+1.296 6.5=+2.407
    2 StBs killed 11/216    -24 IPCs = - 1.222 IPC
    1 StB killed 80/216    -12 IPCs = - 4.444 IPCs

    D6: + 5.347 -5.666= -0.319 IPCs
    D6+2: + 8.403 - 5.666 = + 2.737 IPCs damage/SBR
    D6+3: +9.930  -5.666= +4.264 IPCs

    Summary:
    1 Strategic Bomber doing SBR against no interceptor
    D6+2: + 4.583 - 2 = +2.583 IPCs damage/SBR run
    D6: +2.917-2= 0.917 IPCs

    1 Strategic Bomber A0 doing SBR against 1 interceptor D1
    D6+2: + 3.819 - 3.667 = + 0.152 IPC. damage/SBR run
    D6: + 2.431 - 3.667 = -1.236

    1 Strategic Bomber A0 doing SBR against 2 interceptors D1
    D6+2: + 3.183 - 5.056 = - 1.873 IPCs damage/SBR run
    D6: + 2.025 - 5.056 = -3.031 IPCs

    1 Fighter A1 and 1 Strategic Bomber A0 doing SBR against 2 interceptors D1
    D6+2: + 6.123 - 5.334 = + 0.789 IPC damage/SBR run
    D6: +4.503 - 5.334 = -0.831 IPCs

    2 Strategic Bombers A0 doing SBR against 2 interceptors D1
    D6+2: + 7.639 - 7.334 = + 0.305 IPCs damage/SBR run
    D6: +4.863 - 7.334= -2.471 IPCs

    1 Fighter A1 and 1 Strategic Bomber A0 doing SBR against 1 interceptor D1
    D6+2: + 6.250 - 3.667 = + 2.583 IPC damage/SBR run
    D6: +2.500 - 3.667 = -1.167 IPCs

    2 Strategic Bombers A0 doing SBR against 1 interceptor D1
    D6+2: + 8.403 - 5.666 = + 2.737 IPCs damage/SBR
    D6: + 5.347 -5.666= -0.319 IPCs

    Comparison of this HR with Triple A SBR for 1942.2

    1942.2 SBR HRules with StB A0 and Fg A1 D1 : damage 1D6+2   Triple A SBR for 1942.2: damage 1D6

    1 Strategic Bomber doing SBR against no interceptor             1 StB doing SBR without interceptor
    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run                Sum: +2.917 - 2 = +0.917 IPC damage/SBR run

    1 Strategic Bomber A0 doing SBR against 1 interceptor D1     1 StB A1 against 1 Fg D1
    Sum: + 3.819 - 3.667 = + 0.152 IPC. damage/SBR run        Sum: +3.69 - 3.667 = + 0.023 IPC damage/SBR run

    1 Strategic Bomber A0 doing SBR against 2 interceptors D1       1 StB A1 doing SBR against 2 intercepting Fgs D1
    Sum: + 3.183 - 5.056 = - 1.873 IPC. damage/SBR run              Sum: + 2.025 - 5.056 = - 3.031 IPCs damage/SBR run

    1 Fighter A1 and 1 Strategic Bomber A0 doing SBR against 2 interceptors D1       1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
    Sum: + 6.123 - 5.334 = + 0.789 IPC damage/SBR run              Sum: +6.155 - 5.33 = + 0.825 IPC damage/SBR run

    2 Strategic Bombers A0 doing SBR against 2 interceptors D1         2 StBs A1 doing SBR against 2 intercepting Fgs D1
    Sum: + 7.639 - 7.334 = + 0.305 IPCs damage/SBR run              Sum: +8.195 - 7.334 = + 0.861 IPC damage/SBR run

    1 Fighter A1 and 1 Strategic Bomber A0 doing SBR against 1 interceptor D1       1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
    Sum: + 6.250 - 3.667 = + 2.583 IPC damage/SBR run         Sum: + 5.973 - 3.667 = + 2.306 IPCs damage/SBR run

    2 Strategic Bombers A0 doing SBR against 1 interceptor D1         2 StBs A1 doing SBR against 1 intercepting Fg D1
    Sum: + 8.403 - 5.666 = + 2.737 IPCs damage/SBR run         Sum: +8.403 - 5.666 = + 2.737 IPCs damage/StB

    0
  • baron MünchhausenB
    '17 '16

    G40.2 HR
    Bomber A1 Damage: 1D6+2

    Fighter A1 D1 First Strike

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR
    Bomber A1 Damage: 1D6+2

    Fighter A1 First Strike D1 First Strike

    @Baron:

    I’m looking for a balance but more historical way of doing G40 SBR.

    1. The first thing I got in mind was to simply give all Fgs a preemptive first strike A/D @1.
      All Tactical and Strategical bomber keep a regular A1.

    Would it be still balance and worth the try?

    1. Another way was to give @1 first strike only to defending interceptors.

    2. And a third option was to allow defending interceptors another defense roll @1 in a second combat cycle of air-to-air.

    To get any conclusion about them, I must first make some stats table.

    G1940 SBR with Fg A/D@1 first strike:
    1 StB doing SBR without interceptor
    5/6 StB survived * 5.5 IPCs = 4.583 IPCs
    1/6 StB killed *12 IPCs = -2 IPCs

    Sum: 4.583 - 2 = +2.583 IPCs damage/StB

    1 StB A1 against 1 Fg D1 first strike

    StB roll / Fg roll / AAA roll = odds casualties

    116= 6/216 1 StB killed by Fg vs no casualty
    151= 5/216 1 StB killed by AAA vs 1 Fg killed
    155= 25/216 no casualty vs 1 Fg killed

    516= 30/216 StB killed by Fg
    551= 25/216 StB killed by AAA
    555= 125/216 both survived

    Results:
    Bombard IC: 150/216= 69.444% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = 3.819 IPCs
    killing Fg: 30/216= 13.889% *+10 IPCs = + 1.389 IPC
    StB killed: 66/216= 30.556% *-12 IPCs = - 3.667 IPCs

    Sum: + 5.208 - 3.667 = + 1.541 IPC damage/SBR run

    1 StB A1 against 2 Fgs D1 first strike

    StB roll / Fg roll / AAA roll = odds casualties

    1116= 66/216 1 StB killed by Fg vs no casualty
    1251= 25/216 1 StB killed by AAA vs 1 Fg killed
    1255= 125/216 no casualty vs 1 Fg killed

    5116= 330/216 StB killed by Fg
    5251= 125/216 StB killed by AAA
    5255= 625/216 both survived

    Results:
    Bombard IC: 750/1296= 57.87% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = + 3.183 IPCs
    killing 1 Fg: 150/1296= 11.574% *+10 IPCs = + 1.157 IPC
    StB killed: 546/1296= 42.150% *-12 IPCs = - 5.056IPCs

    Sum: + 4.340 - 5.056 = - 0.716 IPC damage/SBR run

    1 StB A1 & 1 Fgs A1 first strike doing SBR against 2 intercepting Fg D1 first strike

    Interceptors Fgs roll/ StB+Fg rolls/ AAA roll = odds casualties

    1/366/366/6 = 36/7776 1 Fg and 1 StB killed by Fgs vs 1 Fg
    1/3630/366/6 = 180/7776 1 Fg and 1 StB killed by Fgs vs no casualty

    10/361/361/6 = 10/7776 1 Fg killed by Fgs and 1 StB killed by AAA vs 2 Fgs
    10/361/365/6 = 50/7776 1 Fg killed by Fgs vs 2 Fgs
    10/3610/361/6 = 100/7776 1 Fg killed by Fgs and 1 StB killed by AAA vs 1 Fg
    10/3610/365/6 = 500/7776 1 Fg killed by Fgs vs 1 Fg
    10/3625/361/6 = 250/7776 1 Fg killed by Fgs and 1 StB killed by AAA vs no casualty
    10/3625/365/6 = 1250/7776 1 Fg killed by Fgs vs no casualty

    25/361/361/6 = 25/7776 1 StB killed by AAA vs 2 Fgs
    25/361/365/6 = 125/7776 no casualty vs 2 Fgs
    25/3610/361/6 = 250/7776 1 StB killed by AAA vs 1 Fg
    25/3610/365/6 = 1250/7776 no casualty vs 1 Fg
    25/3625/361/6 = 625/7776 1 StB killed by AAA vs no casualty
    25/3625/365/6 = 3125/7776 no casualty at all

    Results:
    Bombard on IC: 6300/7776 = 81.019% * ((3+8) IPCs)/2= +5.5 IPCs) = + 4.456 IPCs
    Killing 1 Fg: 2136/7776 = 27.469%* +10 IPCs = + 2.747 IPCs
    Killing 2 Fgs: 210/7776= 2.701* +20 IPCs = + 0.540 IPC
    1 Fg killed: 2136/7776 = 27.469%* -10 IPCs = - 2.747 IPCs
    StB killed: 900/7776 = 11.574%-12 IPCs = - 1.389 IPCs
    StB & Fg killed: 576/7776 = 7.407%    -22 IPCs = - 1.630 IPCs

    Sum: + 7.743 - 5.766= + 1.977 IPCs damage/SBR run

    1 StB A1 & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D1 first strike

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/361/61/6 = 11/1296 1 Fg and 1 StB killed by AAA vs 1 Fg
    11/361/65/6 = 55/1296 1 Fg vs 1 Fg
    11/365/61/6 = 55/1296 1 StB killed by AAA vs 1 Fg
    11/365/65/6 = 275/1296 no casualty vs 1 Fg

    25/361/61/6 = 25/1296 1 Fg and 1 StB killed by AAA vs no casualty
    25/361/65/6 = 125/1296 1 Fg vs no casualty
    25/365/61/6 = 125/1296 1 StB killed by AAA vs no casualty
    25/365/65/6 = 625/1296 no casualty at all

    Results:
    Bombard on IC: 1080/1296 = 83.333% * ((3+8) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs
    Killing 1 Fg: 396/1296 = 30.556%* +10 IPCs = + 3.056 IPCs
    Fg killed: 180/1296 = 13.889%* -10 IPCs = - 1.389 IPCs
    StB killed: 180/1296 = 13.889%-12 IPCs = - 1.667 IPCs
    StB & Fg killed: 36/1296 = 2.778%    -22 IPCs = - 0.611 IPCs

    Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run

    G40 HR Fg A1 regular D1 first strike 1 StB & 1 Fg A1 regular doing SBR against 1 intercepting Fg D1 first strike

    interceptor Fg roll / Fg roll/ StB roll/ AAA roll = odds casualties

    1611 = 6/1296 1 Fg killed and 1 StB killed by AAA vs 1 Fg
    1    615 = 30/1296 1 Fg killed vs 1 Fg
    1651 = 30/1296 1 Fg killed and 1 StB killed by AAA vs no casualty
    1    655 = 150/1296 1 Fg killed vs no casualty

    5161 = 30/1296 1 StB killed by AAA vs 1 Fg
    5    165 = 150/1296 no casualty vs 1 Fg
    5511 = 25/1296 1 StB killed by AAA vs 1 Fg
    5    515 = 125/1296 no casualty vs 1 Fg
    5551 = 125/1296 1 StB killed by AAA vs no casualty
    5    555 = 625/1296 no casualty at all

    Results:
    Bombard on IC: 1080/1296 = 83.333% * ((3+8) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs
    Killing 1 Fg: 366/1296 = 28.241%* +10 IPCs = + 2.824 IPCs
    Fg killed: 180/1296 = 13.889%* -10 IPCs = - 1.389 IPCs
    StB killed: 180/1296 = 13.889%-12 IPCs = - 1.667 IPCs
    StB & Fg killed: 36/1296 = 2.778%    -22 IPCs = - 0.611 IPCs

    Sum: + 7.407 - 3.667 = + 3.740 IPCs damage/SBR run

    2 StB A1 against 2 Fgs D1 first strike

    Fg roll / StBs roll / AAA roll = odds casualties

    1/3636/3636/36= 1296/46656 2 StBs killed by Fgs vs no casualty

    106/366/36= 360/46656 1 StB killed by Fg and 1 StB by AAA vs 1 Fg killed
    106/3630/36= 1800/46656 1 StB killed by Fg vs 1 Fg killed
    1030/366/36= 1800/46656 1 StB killed by Fg and 1 StB by AAA vs no casualty
    1030/3630/36= 9000/46656 1 StB killed by Fg vs no casualty

    251/361= 25/46656 2 StBs killed by AAA vs 2 Fgs
    251/3610= 250/46656 1 StB killed by AAA vs 2 Fgs
    251/3625= 625/46656 both survived vs 2 Fgs
    2510/361= 250/46656 2 StBs killed by AAA vs 1 Fg
    2510/3610= 2500/46656 1 StB killed by AAA vs 1 Fg
    2510/3625= 6250/46656 both survived vs 1 Fg
    2525/361= 625/46656 2 StBs killed by AAA vs no casualty
    2525/3610= 6250/46656 1 StB killed by AAA vs no casualty
    2525/3625= 15625/46656 no casualty at all

    Results:
    2x Bombard IC: 22500/46656= 48.225%* ((2+4)+(12+4)/2) IPCs = + 11 IPCs) = + 5.305 IPCs
    1x Bombard IC: 19800/46656= 42.438% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = + 2.334 IPCs
    Killing 1 Fg: 11160/46656= 23.920% *+10 IPCs = + 2.392 IPC
    Killing 2 Fg: 900/46656= 1.929% * + 20 IPCs = + 0.386 IPCs
    1 StB killed: 19800/46656= 42.438% *-12 IPCs = -5.093 IPCs
    2 StB killed: 4356/46656 = 9.336% * -24 IPCs = -2.241 IPCs
    Sum: + 10.417 - 7.334 = + 3.083 IPCs damage/SBR run

    2 StB A1 against 1 Fg D1 first strike

    Fg roll / StBs roll / AAA roll = odds casualties

    16/366/36= 36/7776 1 StB killed by Fg and 1 StB by AAA vs 1 Fg killed
    16/3630/36= 180/7776 1 StB killed by Fg vs 1 Fg killed
    130/366/36= 180/7776 1 StB killed by Fg and 1 StB by AAA vs no casualty
    130/3630/36= 900/7776 1 StB killed by Fg vs no casualty

    511/361= 55/7776 2 StBs killed by AAA vs 1 Fg
    511/3610= 550/7776 1 StB killed by AAA vs 1 Fg
    511/3625= 1375/7776 both survived vs 1 Fg
    525/361= 125/7776 2 StBs killed by AAA vs no casualty
    525/3610= 1250/7776 1 StB killed by AAA vs no casualty
    525/3625= 3125/7776 no casualty at all

    Results:
    2x Bombard IC: 4500/7776= 57.870%* ((2+4)+(12+4)/2) IPCs = + 11 IPCs) = + 6.366 IPCs
    1x Bombard IC: 2880/7776= 37.037% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = + 2.037 IPCs
    1 killing Fg: 2196/7776= 28.241% *+10 IPCs = + 2.824 IPC
    1 StB killed: 2880/7776= 37.037% *-12 IPCs = - 4.444 IPCs
    2 StB killed: 396/7776 = 5.093% * -24 IPCs = -1.222 IPCs
    Sum: + 11.227 - 5.666 = + 5.561 IPCs damage/SBR run

    G40 HR Fg A1 reg or first strike D1 first strike: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D1 first strike
    With optionnal limitation rule: in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    Fg roll / StBs roll / AAA roll = odds casualties

    11/66/36= 6/7776 1 StB killed by Fg and 1 StB by AAA vs 1 Fg killed
    11/630/36=30/7776 1 StB killed by Fg vs 1 Fg killed
    15/66/36= 30/7776 1 StB killed by Fg and 1 StB by AAA vs no casualty
    15/630/36= 150/7776 1 StB killed by Fg vs no casualty

    51/61= 5/7776 2 StBs killed by AAA vs 1 Fg
    51/610= 50/7776 1 StB killed by AAA vs 1 Fg
    51/625= 125/7776 both survived vs 1 Fg
    55/61= 25/7776 2 StBs killed by AAA vs no casualty
    55/610= 250/7776 1 StB killed by AAA vs no casualty
    55/625= 625/7776 no casualty at all

    Results:
    2x Bombard IC: 750/1296= 57.870%* ((2+4)+(12+4)/2) IPCs = + 11 IPCs) = + 6.366 IPCs
    1x Bombard IC: 480/1296= 37.037% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = + 2.037 IPCs
    1 killing Fg: 216/1296= 16.667% *+10 IPCs = + 1.667 IPC
    1 StB killed: 480/1296= 37.037% *-12 IPCs = - 4.444 IPCs
    2 StB killed: 66/7776 = 5.093% * -24 IPCs = -1.222 IPCs
    Sum: + 10.07 - 5.666 = + 4.404 IPCs damage/SBR run

    G40 HR 2 defense cycles: 1 StB A1 against 1 Fg D1 for 2 combat cycles: making another defense roll @1 after the first cycle.

    StB roll / Fg roll /Fg roll 2nd cycle/ AAA roll = odds casualties

    1166= 36/1296 1 StB killed by Fg vs 1 Fg killed
    1    561= 30/1296 1 StB killed by AAA vs 1 Fg killed
    156*5= 150/1296 no casualty vs 1 Fg killed

    5166= 180/1296 StB killed by Fg
    5    516= 150/1296 StB killed by Fg 2nd cycle
    5551= 125/1296 StB killed by AAA
    5    555= 625/1296 no casualty at all

    Results:
    Bombard IC: 775/1296 = 59.799% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = 3.289 IPCs
    killing Fg : 216/1296= 16.667% *+10 IPCs = + 1.667 IPC
    StB killed: 521/1296= 40.201% *-12 IPCs = - 4.824 IPCs

    Sum: + 4.956 - 4.824 = + 0.132 IPC damage/SBR run

    G40 HR 2 defense cycles: 1 StB A1 against 2 intercepting Fgs D1 for 2 combat cycles: making another defense roll @1 after the first cycle.

    StB roll / Fgs roll /Fgs roll 2nd cycle/ AAA roll = odds casualties

    1/611/3636/366/6= 2376/46656 1 StB killed by Fgs vs 1 Fg
    1/6    25/366/366/6= 900/46656 1 StB killed by 1 Fg 2nd cycle vs 1 Fg
    1/625/3630/361/6 = 750/46656 1 StB killed by AAA vs 1 Fg
    1/6    25/3630/365/6 = 3750/46656 no casualty vs 1 Fg

    5/611/3636/366/6 = 11880/46656 1 StB killed by Fgs vs no casualty
    5/6    25/3611/366/6 = 8250/46656 1 StB killed by Fgs 2nd cycle vs no casualty
    5/625/3625/361/6 = 3125/46656 1 StB killed by AAA vs no casualty
    5/6    25/3625/365/6 = 15625/46656 no casualty at all

    Results:
    Bombard on IC: 19375/46656= 41.527% * ((1+2) +(6+2) IPCs)/2= +5.5 IPCs) = 2.284 IPCs
    Killing 1 Fg: 7776/46656= 16.667% +10 IPCs = + 1.667 IPCs
    StB killed: 27281/46656= 58.473%    -12 IPCs = - 7.017 IPCs

    Sum: + 3.951 - 7.017 = - 3.066 IPCs damage/SBR run

    To be continued…

    Summary:

    G1940 HR SBR with Fg A/D@1 first strike:
    1 StB doing SBR without interceptor
    Sum: 4.583 - 2 = +2.583 IPCs damage/StB

    1 StB A1 against 1 Fg D1 first strike
    Sum: + 5.208 - 3.667 = + 1.541 IPC damage/SBR run

    1 StB A1 against 2 Fgs D1 first strike
    Sum: + 4.340 - 5.056 = - 0.716 IPC damage/SBR run

    1 StB & 1 Fgs A1 first strike doing SBR against 2 intercepting Fg D1 first strike
    Sum: + 7.743 - 5.766 = + 1.977 IPCs damage/SBR run

    2 StB A1 against 2 Fgs D1 first strike
    Sum: + 10.417 - 7.334 = + 3.083 IPCs damage/SBR run

    1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D1 first strike
    Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run

    2 StB A1 against 1 Fg D1 first strike
    Sum: + 11.227 - 5.666 = + 5.561 IPCs damage/SBR run

    G40 HR Fg A1 regular D1 first strike
    1 StB & 1 Fg A1 regular doing SBR against 1 intercepting Fg D1 first strike
    Sum: + 7.407 - 3.667 = + 3.740 IPCs damage/SBR run

    G40 HR Fg A1 regular or first strike D1 first strike: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D1 first strike
    With optionnal limitation rule: in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    Sum: + 10.07 - 5.666 = + 4.404 IPCs damage/SBR run

    G40 HR 2 defense cycles: 1 StB A1 against 1 Fg D1 for 2 combat cycles: making another defense roll @1 after the first cycle.
    Sum: + 4.956 - 4.824 = + 0.132 IPC damage/SBR run

    G40 HR 2 defense cycles: 1 StB A1 against 2 intercepting Fgs D1 for 2 combat cycles: making another defense roll @1 after the first cycle.
    Sum: + 3.951 - 7.017 = - 3.066 IPCs damage/SBR run

    G1940 SBR:
    1 StB doing SBR without interceptor
    Sum: +4.583 - 2 = +2.583 IPCs damage/SBR run

    1 StB A1 against 1 Fg D1 damage: 1D6+2
    Sum: + 5.486 - 3.667 = + 1.819 IPC damage/SBR run

    1 StB A1 doing SBR against 2 intercepting Fgs D1
    Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR run

    1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
    Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run

    2 StBs A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
    Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run

    1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
    Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run

    2 StBs A1 doing SBR against 1 intercepting Fg D1
    Sum: +11.459 - 5.666 = + 5.793 IPCs damage/SBR run

    Comparative summary:
    G40 House Rule SBR giving all Fgs @1 first strike compared to G40 OOB SBR all planes @1.

    G1940 HR SBR with Fg A/D@1 first strike:
    1 StB doing SBR without interceptor
    Sum: 4.583 - 2 = +2.583 IPCs damage/SBR run OOB: Sum: +4.583 - 2 = +2.583 IPCs damage/SBR run

    1 StB A1 against 1 Fg D1 first strike
    Sum: + 5.208 - 3.667 = + 1.541 IPC damage/SBR run  OOB: Sum: + 5.486 - 3.667 = + 1.819 IPC damage/SBR run

    1 StB A1 against 2 Fgs D1 first strike
    Sum: + 4.340 - 5.056 = - 0.716 IPC damage/SBR run OOB: Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR run

    1 StB & 1 Fgs A1 first strike doing SBR against 2 intercepting Fg D1 first strike
    Sum: + 7.743 - 5.766= + 1.977 IPCs damage/SBR run OOB: Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run

    2 StB A1 against 2 Fgs D1 first strike
    Sum: + 10.417 - 7.334 = + 3.083 IPCs damage/SBR run OOB: Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run

    1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D1 first strike
    Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run OOB: Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run

    2 StB A1 against 1 Fg D1 first strike
    Sum: + 11.227 - 5.666 = + 5.561 IPCs damage/SBR run OOB: Sum: +11.459 - 5.666 = + 5.793 IPCs damage/SBR run

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR
    Bomber A1 Damage: 1D6+2

    Fighter A1 First Strike D2

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR
    Bomber A1 Damage: 1D6+2

    Fighter A1 First Strike D2
    Combined arms: 1 Fighter gives First Strike to all attacking Bombers

    @Baron:

    @Baron:

    In a Strategic Bombing Raid, before all the incoming StB submit to AA fire @1, there is the possibility to get intercepted.

    The escorting rules in a Strategic Bombing Raid give all the attacking planes a same value:

    Each Strategic Bomber attack with a preemptive first strike @1,
    and same for
    Each Escorting Fighter attack with a preemptive first strike @1,

    while the defending interceptors have a better defensive roll but a regular one:

    Intercepting Fighter defend with a regular @2.

    Compared to the Global 1940, SBR rules in which all planes (StB, TcB, Fg) roll once a regular @1.

    I find too much uniformity between all aircrafts compared to historical accuracy.

    Compared to the other Interception rules, I prefer by far the 1942.2, which I found more historically based and I rationalize this rule that way:

    The preemptive first strike for raiders can really be seen as a surprise situation.

    Sometimes, defenders are caught off-guard on the airfield but once the interceptors are in the air, they get the advantage:

    • they are flying over a known homeland territory,

    • pilots have spent less time in the air, are more focussed and less tired,

    • planes have plenty of fuel and less restricted on combat maneuver than attacking escorts fighters,

    • and defenders can stay longer in the area to patrol against slower or lost attacking planes,

    all this can be exemplify by the UK’s pilots experience known via the air Battle of Britain in 1940-41.

    Why were the Germans defeated ?

    1. The Germans fought too far away from their bases so that refuelling and rearming were impossible. The German fighters had a very limited time which they could spend over Britain before their fuel got too low.

    2. British fighters could land, refuel and rearm and be in the air again very quickly.

    3. The change of targets was crucial. It is now believed that Fighter Command was perhaps only 24 hours away from defeat when the attack on the cities occurred. The breathing space this gave Fighter Command was crucial.

    4. The Hurricane and Spitfire (above) were exceptional planes - capable of taking on the might of the Luftwaffe.

    http://www.historylearningsite.co.uk/battleofbritain.htm

    In game terms and statistics, defending fighter (D@2) are also better than StB (A@1 First Strike) which is not the case in G40 SBR and interception rules, where all is the same.
    But…
    Giving a better effectiveness to defender with @2 may have a price.

    That even giving to both, Fgs and StBs, first strike @1 to counter-weight the better effectiveness of defender is not sufficient.

    In SBR in general, the defender have the choice to intercept or not. And will forfeit it if he saw an overwhelming attacking fleet.

    On the other part, many times, the simple presence of 1 or 2 Fgs on IC is enough to rebuke the SBR strategy.

    Indeed, the SBR in G42.2 is far more dangerous (than G40) for each StB than 1/6 odds of being destroyed as was a regular classic IC AA gun.

    So instead of promoting it, interceptor defending @2 increase the risk, on 1:1 basis, to 2/6 + 1/6= around 44% (12+4=16/36) minus around 4% (preemptive strike reduction) near 40% of being destroyed.

    @Baron:

    @Baron:

    The Triple A 1942.2 SBR rule is each plane get Att or Def @1 and StB get 1D6 damage.

    However, the math also shows that it is not better to bring along Fg as escort than throwing only StBs.
    Almost the same odds: 0.825 IPC/ SBR run (with 1 StB 1 Fg) vs 0.861 IPC/ SBR run (with 2 StBs).

    The only difference is with 2 Bombers there is much risk (of loosing more IPCs) but also much reward (more damage against the defender).

    From this, my analysis will be that there is no need to escort 2 bombers or more with Fighters as long as you get a 1:1 ratio against defending interceptors. Better to put your Fgs on other missions.

    Below there is the maths.

    Triple A SBR 1942.2: 2 StBs A1 doing SBR against 2 intercepting Fgs D1

    Sum: +8.195 - 7.334 = + 0.861 IPCs damage/SBR run

    I can also add that it is even more the case with G40 SBR, no need to throw a Fg on an escort mission if you have at least 2 StBs and a 1:1 ratio against defending interceptors.

    According to the maths of G40 OOB SBR rules, the odds to inflict damage to the defender are clearly increasing keeping 1:1 ratio, from 1 StB, 1 StB+1Fg and, finally 2 StBs.
    The odds of making more damage to defender are even better than a single bomber against an undefended Industrial Complex ! ( +2.583 vs + 3.639 IPCs damage/SBR run)
    G1940: 1 StB doing SBR without interceptor
    Sum: +4.583 - 2 = +2.583 IPCs damage/SBR run

    G1940: 1 StB A1 doing SBR against 1 Fg D1 / damage 1D6+2
    Sum: + 4.845 - 3.666 = + 1.179 IPC. damage/SBR run

    G40: 1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
    Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run

    G40: 2 StBs A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2/StB
    Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run

    Triple A SBR 1942.2: 1 StB doing SBR without interceptor (A1 vs D1, damage 1D6)
    Sum: +2.917 - 2 = +0.917 IPC damage/StB

    Triple A SBR 1942.2: 1 StB A1 vs 1 Fg D1
    Sum: +3.69 - 3.667 = + 0.023 IPC damage/SBR run

    Triple A SBR 1942.2: 1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
    Sum: +6.155 - 5.33 = + 0.825 IPC damage/SBR run

    Triple A SBR 1942.2: 2 StBs A1 doing SBR against 2 intercepting Fgs D1
    Sum: +8.195 - 7.334 = + 0.861 IPC damage/SBR run

    OOB SBR rules for 1942.2: 1 StB doing SBR without interceptor damage: 1D6
    Sum: + 2.917 - 2 = +.917 IPC damage/SBR run

    OOB 1942.2: 1 StB A1 first strike vs 1 Fg D2
    Sum: + 3.8 - 4.8 = - 1 IPC damage/SBR run

    OOB 1942.2: 1 StB & 1 Fg A1 first strike doing SBR against 2 intercepting Fgs D2
    Sum: + 6.018 - 7.555 = - 1.537 IPCs damage/SBR run

    OOB 1942.2: 2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2
    Sum: +7.547 - 9.556 = - 2.009 IPCs damage/SBR run

    So the only case for advocating Fg escort is within OOB SBR rules from 1942.2, the odds are less worse for the attacker if it keeps pairing 1 StB with 1 Fg.

    Playing 1942.2 online with Triple A SBR rules however, it is a different story. As in G40, 2 StBs has almost the same odds of doing damage as a single StB raid against an undefended IC.
    (.861 vs .917 IPC/SBR run)

    So, based on these comparative stats, we can say that the actual OOB 1942.2 SBR rules is more historical than the 2 others, since the game mechanics give less risks for bombers when paired to Fg but it is at the expense of making SBR strategies much less appealing for attacker, and for Allies in particular.

    Here is my little twist to improve the SBR balance while keeping an historical feel which can provide incentive for escorting bombers with Fighters.

    StBs are making regular A1 in air-to-air (instead of preemptive first strike roll @1 per 1942.2 OOB SBR rules) but their damage is increase to 1D6+2 (as in G40 OOB).
    Each intercepting Fg still keep regular D2.
    Each escorting Fg also keeps preemptive first strike A1 but also gives a combined arms effect to all escorted bombers, which get A1 preemptive roll.
    It only needs 1 Fg unit amongst the attacker SBR fleet to give all bombers their preemptive strike A1.
    In-built AAA from IC rolls, as OOB, 1@1 against each Bomber.

    Optionnal limitation rule : in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.
    (Ex: 3 StBs+1 Fg vs 2 Fgs. Only 2 StBs can roll a preemptive strike A1 in addition to the Fg escort first strike roll A1.)

    • By keeping the A1 vs D2 dynamics of 1942.2 OOB SBR, it keeps the main historical feels of air-to-air battle. And gives defending fighters an advantage over attacking planes.

    • By increasing damage to IC by +2, it will provides an incentive for defender to intercept bombers instead of letting them just go through IC’s AAA unopposed.
      It will also give better positive odds of making more damage to defender than suffering it compared to the actual 1942.2 OOB SBR.

    • By lowering the bomber air-to-air attack roll to regular A1, it will make bombers only SBR much riskier for attacker but still providing a big reward against IC with the +2 damage bonus. This HR (2 StBs A1 regular against 2 intercepting Fgs D2 +9.445 - 10.667 = - 1.222 IPCs damage/SBR) compared to 1942.2 OOB SBR (2 StBs A1 first strike doing SBR against 2 Fgs D2 +7.547 - 9.556 = - 2.009 IPCs damage/SBR) gives better odds and increase damage to IC.

    • The combined arms bonus of Fg for StB will also makes a good and historical incentive to bring at least 1 Fg escort to increase their odds of survival in air-to-air combat against interceptors.
      Compared to Triple A and G40 mechanics in which 2 Bombers are always better than 1 Bomber and 1 Fighter to increase odds of making damage over suffering damage.

      With this HR, the break even point will be 1 StB & 1 Fg (2A@1 first strike) doing SBR against 2 Fgs (2D@2) Sum: + 7.554 - 7.564 = - 0.01 IPC damage/SBR.
      While in G40 (+ 2.445 IPCs damage/SBR) and Triple A (+ 0.825 IPC damage/SBR) this same situation the odds are still unhistorically better for the attacker!!!???
      And, to the contrary in 1942.2 OOB SBR, from the attacker POV, it is really not worthing the risk (+ 6.018 - 7.555 = - 1.537 IPCs damage/SBR).

    Here is some maths evaluation to compare with other actual rules (provided in the above quote) :

    1942.2 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2
    5/6 StB survived * 5.5 IPCs = 4.583 IPCs
    1/6 StB killed *12 IPCs = -2 IPCs

    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run

    1942.2 SBR HRules :1 StB A1 regular vs 1 Fg D2

    StB roll /Fg roll / AAA roll = odds casualties

    1/62/66/6= 12/216 1 StB killed by AAA vs 1 Fg killed: 5.556%
    1/64/61/6= 4/216 1 StB killed by AAA vs 1 Fg killed: 1.852%
    1/64/65/6= 20/216 no casualty vs 1 Fg killed: 9.259%

    5/62/66/6= 60/216 StB killed by Fg: 27.778%
    5/64/61/6= 20/216 StB killed by AAA: 9.259%
    5/64/65/6= 100/216 both survived: 46.296%

    Results:
    Bombard on IC 120/216= 55.556% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.056 IPCs
    killing Fg 36/216= 16.667% *+10 IPC = + 1.667 IPC
    StB killed 96/216= 44.444% *-12 IPCs = - 5.333 IPCs
    Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR run

    1942.2 SBR HR: 1 StB A1 regular doing SBR against 2 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/620/366/6 = 120/1296 1 StB killed by Fg vs 1 Fg
    1/616/361/6= 16/1296 1 StB killed by AAA vs 1 Fg
    1/616/365/6 = 80/1296 no casualty vs 1 Fg

    5/620/366/6 = 600/1296 1 StB killed by Fg vs no casualty
    5/616/361/6 = 80/1296 1 StB killed by AAA vs no casualty
    5/616/365/6 = 400/1296 no casualty at all

    Results:
    Bombard on IC: 480/1296= 37.037% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.037 IPCs
    Killing 1 Fg: 216/1296= 16.667% +10 IPCs = + 1.667 IPCs
    1 StB killed: 816/1296= 62.963%    -12 IPCs = - 7.556 IPCs

    Sum: +3.704- 7.556 = - 3.852 IPCs damage/SBR run

    1942.2 HR: 1 StB & 1 Fg A1 first strike (due to combined arms with Fg escort) doing SBR against 2 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/3636/361/6 = 36/7776 1 StB killed by AAA vs 2 Fgs : .5%
    1/3636/365/6 = 180/7776 no casualty vs 2 Fgs : 2.3%

    10/3612/361/6 = 120/7776 1 Fg and 1 StB killed by AAA vs 1 Fg : 1.5%
    10/3612/365/6 = 600/7776 1 Fg vs 1 Fg : 7.7%
    10/3624/361/6= 240/7776 1 StB killed by AAA vs 1 Fg : 3.1%
    10/3624/365/6 = 1200/7776 no casualty vs 1 Fg : 15.4%

    25/364/366/6 = 600/7776 1 Fg and 1 StB killed by Fg vs no casualty : 7.7%
    25/3616/361/6 = 400/7776 1 Fg and 1 StB killed by AAA vs no casualty : 5.2%
    25/3616/365/6 = 2000/7776 1 Fg vs no casualty : 25.7%
    25/3616/361/6 = 400/7776 1 StB killed by AAA vs no casualty : 5.2%
    25/3616/365/6 = 2000/7776 no casualty at all : 25.7%

    Results:
    Bombard on IC: 76.8% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.224 IPCs
    Killing 2 Fgs: 2.8%+20 IPCs = + 0.56 IPC
    Killing 1 Fg: 27.7% +10 IPCs = + 2.77 IPCs
    Fg killed: 33.4%    -10 IPCs = - 3.34 IPCs
    StB killed: 8.8%    -12 IPCs = - 1.056 IPCs
    StB & Fg killed: 14.4%*-22 IPCs = - 3.168 IPCs

    Sum: + 7.554 - 7.564 = - 0.01 IPC damage/SBR run

    1942.2 SBR HR: 2 StBs A1 regular doing SBR against 2 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/364/3636/36 = 144/46656 2 StBs killed by Fg vs 2 Fgs: 0.309%
    1/3616/366/36 = 96/46656 1 StB killed by Fg and 1 StB killed by AAA vs 2 Fgs : 0.206%
    1/3616/3630/36 = 480/46656 1 StB killed by Fg vs 2 Fgs : 1.029%
    1/3616/361/36 = 16/46656 2 StBs killed by AAA vs 2 Fgs : 0.034%
    1/3616/3610/36 = 160/46656 1 StB killed by AAA vs 2 Fgs : 0.343%
    1/3616/3625/36 = 400/46656 no casualty vs 2 Fgs : 0.857%

    10/364/3636/36 = 1440/46656 2 StBs killed by Fg vs 1 Fg: 3.086%
    10/3616/366/36 = 960/46656 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg : 2.058%
    10/3616/3630/36 = 4800/46656 1 StB killed by Fg vs 1 Fg : 10.288%
    10/3616/361/36= 160/46656 2 StBs killed by AAA vs 1 Fg : 0.343%
    10/3616/3610/36= 1600/46656 1 StB killed by AAA vs 1 Fg : 3.429%
    10/3616/3625/36 = 4000/46656 no casualty vs 1 Fg : 8.573%

    25/364/3636/36 = 3600/46656 2 StBs killed by Fg vs no casualty : 7.716%
    25/3616/366/36 = 2400/46656 1 StB killed by Fg and 1 StB killed by AAA vs no casualty : 5.144%
    25/3616/3630/36 = 12000/46656 1 StBs killed by Fg vs no casualty : 25.72%
    25/3616/361/36 = 400/46656 2 StBs killed by AAA vs no casualty : 0.857%
    25/3616/3610/36 = 4000/46656 1 StB killed by AAA vs no casualty : 8.573%
    25/3616/3625/36 = 10000/46656 no casualty at all : 21.433%

    Results:
    2x Bombard on IC: 14400/46656= 30.864% * ((6+16) IPCs)/2= +11 IPCs) = + 3.395 IPCs
    1x Bombard on IC: 23040/46656= 49.383% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.716 IPCs
    Killing 2 Fgs: 1296/46656= 2.778%+20 IPCs = + 0.556 IPC
    Killing 1 Fg: 12960/46656= 27.778% +10 IPCs = + 2.778 IPCs
    2 StBs killed: 9216/46656= 19.753%    -24 IPCs = - 4.741 IPCs
    1 StB killed: 23040/46656= 49.383%    -12 IPCs = - 5.926 IPCs

    Sum: +9.445 - 10.667 = - 1.222 IPCs damage/SBR run

    1942.2 HR: 1 StB & 1 Fg A1 first strike (due to combined arms with Fg escort) doing SBR against 1 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/366/61/6= 66/1296 1 StB killed by AAA vs 1 Fg
    11/366/65/6 = 330/1296 no casualty vs 1 Fg

    25/362/61/6 = 50/1296 1 Fg and 1 StB killed by AAA vs no casualty
    25/362/65/6 = 250/1296 1 Fg vs no casualty
    25/364/61/6 = 100/1296 1 StB killed by AAA vs no casualty
    25/364/65/6 = 500/1296 no casualty at all

    Results:
    Bombard on IC: 1080/1296 = 83.333% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs
    Killing 1 Fg: 396/1296 = 30.556% +10 IPCs = + 3.056 IPCs
    Fg killed: 300/1296 = 23.148%    -10 IPCs = - 2.31 IPCs
    StB killed: 216/1296 = 16.667%-12 IPCs = - 2 IPCs
    StB & Fg killed: 50/1296 = 3.858%    -22 IPCs = - 0.849 IPCs

    Sum: + 7.639 - 5.159 = + 2.48 IPCs damage/SBR run

    1942.2 SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/362/66/36 = 132/7776 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    11/362/630/36 = 660/7776 1 StB killed by Fg vs 1 Fg
    11/364/61/36 = 44/7776 2 StBs killed by AAA vs 1 Fg
    11/364/610/36 = 440/7776 1 StB killed by AAA vs 1 Fg
    11/364/625/36 = 1100/7776 no casualty vs 1 Fg

    25/362/66/36 = 300/7776 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    25/362/630/36 = 1500/7776 1 StBs killed by Fg vs no casualty
    25/364/61/36 = 100/7776 2 StBs killed by AAA vs no casualty
    25/364/610/36 = 1000/7776 1 StB killed by AAA vs no casualty
    25/364/625/36 = 2500/7776 no casualty at all

    Results:
    2x Bombard on IC: 3600/7776= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs
    1x Bombard on IC: 3600/7776= 49.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs
    Killing 1 Fg: 2332/7776= 29.999% +10 IPCs = + 3.00 IPCs
    2 StBs killed: 576/7776= 7.407%    -24 IPCs = - 1.778 IPCs
    1 StB killed: 3600/7776= 46.296%*-12 IPCs = - 5.556 IPCs

    Sum: +10.639 - 7.334 = + 3.304 IPCs damage/SBR run

    1942.2 SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D2
    With optionnal limitation rule: in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/62/66/36 = 12/1296 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    1/62/630/36 = 60/1296 1 StB killed by Fg vs 1 Fg
    1/64/61/36 = 4/1296 2 StBs killed by AAA vs 1 Fg
    1/64/610/36 = 40/1296 1 StB killed by AAA vs 1 Fg
    1/64/625/36 = 100/1296 no casualty vs 1 Fg

    5/62/66/36 = 60/1296 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    5/62/630/36 = 300/1296 1 StBs killed by Fg vs no casualty
    5/64/61/36 = 20/1296 2 StBs killed by AAA vs no casualty
    5/64/610/36 = 200/1296 1 StB killed by AAA vs no casualty
    5/64/625/36 = 500/1296 no casualty at all

    Results:
    2x Bombard on IC: 600/1296= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs
    1x Bombard on IC: 600/1296= 49.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs
    Killing 1 Fg: 216/1296= 16.667% +10 IPCs = + 1.667 IPCs
    2 StBs killed: 96/1296= 7.407%    -24 IPCs = - 1.778 IPCs
    1 StB killed: 600/1296= 46.296%*-12 IPCs = - 5.556 IPCs

    Sum: +9.306 - 7.334 = + 1.972 IPCs damage/SBR run

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR (inspired by 1942.2 OOB SBR)

    Bomber A1 First Strike Damage: 1D6+2

    Fighter A1 First Strike D2
    1942.2 OOB SBR with higher damage for StB : 1 StB doing SBR without interceptor damage: 1D6+2
    5/6 StB survived * 5.5 IPCs = 4.583 IPCs
    1/6 StB killed *12 IPCs = -2 IPCs
    Sum: 4.583 - 2 = +2.583 IPCs damage/StB run

    1 StB A1 first strike vs 1 Fg D2

    StB roll /Fg roll / AAA roll = odds casualties

    161= 6/216 1 StB killed by AAA vs 1 Fg killed: 3%
    165= 30/216 no casualty vs 1 Fg killed: 14%

    526= 60/216 StB killed by Fg: 28%
    541= 20/216 StB killed by AAA: 9%
    545= 100/216 both survived: 46%

    Results:
    Bombard on IC 130/216 = 60.185% * ((3+8 IPCs)/2= +5.5 IPCs) = + 3.310 IPCs
    Killing Fg 36/216 = 16.667% *+10 IPC = + 1.667 IPC
    StB killed 86/216 =39.815% *-12 IPCs = - 4.778 IPCs
    Sum: +4.977 - 4.778 = + 0.199 IPC damage/StB

    / Damage by 1 StB killed by AAA: 26/216 = + 12.037% * x =
    *3.5 IPCs = +2.106 / +1 IPC = +0.120 IPC
    *4.5 IPCs = +2.708 / +1 IPC = +0.120 IPC
    *5.5 IPCs = +3.310 / +2 IPCs = +0.241 IPC
    *6.5 IPCs = +3.912 / +3 IPCs = +0.361 IPC
    *7.0 IPCs = +4.213 / +3 IPCs = +0.361 IPC

    Regular SBRs  StB A1_first strike_           / with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +4.712 - 6.321 = -1.609 IPCs damage/SBR  / -1.514 IPCs damage/SBR
    1D6+1: +4.375 - 4.778 = -0.403 IPC damage/SBR  / -0.283 IPCs damage/SBR
    1D6+2: +4.977 - 4.778 = +0.199 IPCs damage/SBR / +0.440 IPC damage/SBR
    1D6+3: +5.579 - 4.778 = +0.801 IPCs damage/SBR / +1.162 IPCs damage/SBR
    2D6: +5.880 - 4.778 = +1.102 IPCs damage/SBR / +1.463 IPCs damage/SBR

    1 StB A1 first strike doing SBR against 2 intercepting Fgs D2 / damage 1D6+2

    StB roll /Fg roll / AAA roll = odds casualties

    112/366= 72/1296 1 StB killed by Fg vs 1 Fg killed
    124/361= 24/1296 1 StB killed by AAA vs 1 Fg killed
    124/365= 120/1296 no casualty vs 1 Fg killed

    520/366= 600/1296 StB killed by Fg vs no casualty
    516/361= 80/1296 StB killed by AAA vs no casualty
    516/365= 400/1296 no casualty at all

    Results:
    Bombard on IC 520/1296= 40.123% * ((3+8 IPCs)/2= +5.5 IPCs) = + 2.207 IPCs
    killing 1 Fg 216/1296= 16.667% +10 IPC = + 1.667 IPC
    StB killed 776/1296 = 59.877%    -12 IPCs = - 7.185 IPCs
    Sum: + 3.874 - 7.185 = - 3.311 IPCs damage/SBR

    1 StB A1 first strike & 1 Fg A1 first strike doing SBR against 2 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/3636/361/6 = 36/7776 1 StB killed by AAA vs 2 Fgs : .5%
    1/3636/365/6 = 180/7776 no casualty vs 2 Fgs : 2.3%

    10/3612/361/6 = 120/7776 1 Fg and 1 StB killed by AAA vs 1 Fg : 1.5%
    10/3612/365/6 = 600/7776 1 Fg vs 1 Fg : 7.7%
    10/3624/361/6= 240/7776 1 StB killed by AAA vs 1 Fg : 3.1%
    10/3624/365/6 = 1200/7776 no casualty vs 1 Fg : 15.4%

    25/364/366/6 = 600/7776 1 Fg and 1 StB killed by Fg vs no casualty : 7.7%
    25/3616/361/6 = 400/7776 1 Fg and 1 StB killed by AAA vs no casualty : 5.2%
    25/3616/365/6 = 2000/7776 1 Fg vs no casualty : 25.7%
    25/3616/361/6 = 400/7776 1 StB killed by AAA vs no casualty : 5.2%
    25/3616/365/6 = 2000/7776 no casualty at all : 25.7%

    Results:
    Bombard on IC: 5980/7776= 76.903% * ((3+8) IPCs)/2= +5.5 IPCs) = +4.223 IPCs
    Killing 2 Fgs: 216/7776= 2.778%+20 IPCs = + 0.556 IPC
    Killing 1 Fg: 2160/7776= 27.778% +10 IPCs = + 2.778 IPCs
    Fg killed: 2600/7776 = 33.436%    -10 IPCs = - 3.344 IPCs
    StB killed: 676/7776= 8.693%    -12 IPCs = - 1.043 IPCs
    StB & Fg killed: 1120/7776= 14.403%*-22 IPCs = - 3.169 IPCs

    Sum: 7.557 - 7.556 = + 0.001 IPCs damage/StB

    2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/3636/361/36 = 36/46656 2 StBs killed by AAA vs 2 Fgs : 0.077%
    1/3636/3610/36 = 360/46656 1 StB killed by AAA vs 2 Fgs : 0.772%
    1/3636/3625/36 = 900/46656 no casualty vs 2 Fgs : 1.929%

    10/3612/366/36 = 720/46656 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg : 1.543%
    10/3612/3630/36 = 3600/46656 1 StB killed by Fg vs 1 Fg : 7.716%
    10/3624/361/36= 240/46656 2 StBs killed by AAA vs 1 Fg : 0.514%
    10/3624/3610/36= 2400/46656 1 StB killed by AAA vs 1 Fg : 5.144%
    10/3624/3625/36 = 6000/46656 no casualty vs 1 Fg : 12.86%

    25/364/3636/36 = 3600/46656 2 StBs killed by Fg vs no casualty : 7.716%
    25/3616/366/36 = 2400/46656 1 StB killed by Fg and 1 StB killed by AAA vs no casualty : 5.144%
    25/3616/3630/36 = 12000/46656 1 StBs killed by Fg vs no casualty : 25.72%
    25/3616/361/36 = 400/46656 2 StBs killed by AAA vs no casualty : 0.857%
    25/3616/3610/36 = 4000/46656 1 StB killed by AAA vs no casualty : 8.573%
    25/3616/3625/36 = 10000/46656 no casualty at all : 21.433%

    Results:
    2x Bombard on IC: 16900/46656= 36.222% * ((6+16) IPCs)/2= +11 IPCs) = +3.984 IPCs
    1x Bombard on IC: 22360/46656= 47.925% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.636 IPCs
    Killing 2 Fgs: 1296/46656 = 2.778%+20 IPCs = +0.556 IPC
    Killing 1 Fg: 12960/46656 = 27.778% +10 IPCs = +2.778 IPCs
    2 StBs killed: 7396/46656= 15.852%    -24 IPCs = - 3.805 IPCs
    1 StB killed: 22360/46656= 47.925%    -12 IPCs = - 5.751 IPCs

    Sum: +9.954 - 9.556 = +0.398 IPCs damage/StB

    1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/366/61/6= 66/1296 1 StB killed by AAA vs 1 Fg
    11/366/65/6 = 330/1296 no casualty vs 1 Fg

    25/362/61/6 = 50/1296 1 Fg and 1 StB killed by AAA vs no casualty
    25/362/65/6 = 250/1296 1 Fg vs no casualty
    25/364/61/6 = 100/1296 1 StB killed by AAA vs no casualty
    25/364/65/6 = 500/1296 no casualty at all

    Results:
    Bombard on IC: 1080/1296 = 83.333% * ((3+8) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs
    Killing 1 Fg: 396/1296 = 30.556% +10 IPCs = + 3.056 IPCs
    Fg killed: 300/1296 = 23.148%    -10 IPCs = - 2.31 IPCs
    StB killed: 216/1296 = 16.667%-12 IPCs = - 2 IPCs
    StB & Fg killed: 50/1296 = 3.858%    -22 IPCs = - 0.849 IPCs

    Sum: + 7.639 - 5.159 = + 2.480 IPCs damage/SBR run

    2 StBs A1 first strike doing SBR against 1 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/366/61/36 = 66/7776 2 StBs killed by AAA vs 1 Fg : 0.849%
    11/366/610/36 = 660/7776 1 StB killed by AAA vs 1 Fg : 8.488%
    11/366/625/36 = 1650/7776 no casualty vs 1 Fg : 21.219%

    25/362/66/36 = 300/7776 1 StB killed by Fg and 1 StB killed by AAA vs no casualty : 3.858%
    25/362/630/36 = 1500/7776 1 StBs killed by Fg vs no casualty : 19.29%
    25/364/61/36 = 100/7776 2 StBs killed by AAA vs no casualty : 1.286%
    25/364/610/36 = 1000/7776 1 StB killed by AAA vs no casualty : 12.86%
    25/364/625/36 = 2500/7776 no casualty at all : 32.15%

    Results:
    2x Bombard on IC: 4150/7776= 53.369% * ((6+16) IPCs)/2= +11 IPCs) = + 5.871 IPCs
    1x Bombard on IC: 3160/7776= 40.638% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.235 IPCs
    Killing 1 Fg: 2376/7776 = 30.556% +10 IPCs = + 3.056 IPCs
    2 StBs killed: 466/7776= 5.993%    -24 IPCs = - 1.438 IPCs
    1 StB killed: 3160/7776= 40.638%*-12 IPCs = - 4.877 IPCs

    Sum: + 11.162 - 6.315 = + 4.847 IPCs damage/SBR run

    3 StBs A1 first strike doing SBR against 1 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds of casualties

    91/2166/61/216 = 546/ 279936 3 StBs killed by AAA vs 1 Fg
    91/2166/615/216 = 8190/279936 2 StBs killed by AAA vs 1 Fg
    91/2166/675/216 = 40950/279936 1 StB killed by AAA vs 1 Fg
    91/2166/6125/216 = 68250/279936 no casualty vs 1 Fg

    125/2162/66/216 = 1500/279936   1 StB killed by Fg and 2 StBs killed by AAA vs no casualty
    125/2162/660/216 = 15000/279936 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    125/2162/6150/216 = 37500/279936 1 StB killed by Fg vs no casualty
    125/2164/61/216   = 500/279936  3 StBs killed by AAA vs no casualty
    125/2164/615/216 = 7500/279936 2 StBs killed by AAA vs no casualty
    125/2164/675/216 = 37500/279936 1 StB killed by AAA vs no casualty
    125/2164/6125/216 = 62500/279936 no casualty at all

    Results:
    3x Bombard on IC: 130750/279936 = 46.707% * ((9+24)/2 = +16.5 IPCs) = +7.707 IPCs
    2x Bombard on IC: 115950/279936= 41.420% * ((6+16) IPCs)/2= +11 IPCs) = + 4.556 IPCs
    1x Bombard on IC: 30690/279936= 10.963% * ((3+8) IPCs)/2= +5.5 IPCs) = +0.603 IPC
    Killing 1 Fg: 117936/279936 = 42.130% +10 IPCs = + 4.213 IPCs
    3 StBs killed: 2546/279936 = 0.909%    -36 IPCs = - 0.327 IPC
    2 StBs killed: 30690/279936= 10.963%-24 IPCs = - 2.631 IPCs
    1 StB killed: 115950/279936= 41.420%    -12 IPCs = - 4.970 IPCs

    Sum: + 17.079 - 7.928 = + 9.151 IPCs damage/SBR run

    @Baron:

    So, from my last post, I can provide a simple fix to the issue of SBR being too much OP.

    Apply the OOB 1942.2 escort and intercept rules while keeping the damage value of Strat Bombers and Tac Bombers.

    Gives to all Fighters / Strat Bombers / Tac Bombers
    Attack @1 First Strike.
    Keep damage as G40 OOB: 1D6+2 for StB and 1D6 for TcB.
    Fighter Defend @2.

    Here is a discussion on the variant I showed in the last post.
    1942.2 Strategic Bombing Raid SBR, Bombers and escorts, Interceptors vs triple A
    http://www.axisandallies.org/forums/index.php?topic=34118.msg1311386#msg1311386

    Each escorting Fighter have preemptive first strike A1 but also gives a combined arms effect to all escorted bombers, which get A1 preemptive roll.
    It only needs 1 Fighter unit amongst the attacker SBR fleet to give all bombers their preemptive strike A1.
    When all by themselves, bombers only get a regular attack @1.

    That’s the small variants compared to OOB 1942.2 SBR rules, giving all StBs A1 First Strike.

    1942.2 SBR HR #1 OOB + Higher damage for StB
    1 StB doing SBR without interceptor damage: 1D6+2
    Sum: +4.583 - 2 = +2.583 IPCs damage/StB run

    1 StB A1 first strike vs 1 Fg D2
    Sum: +4.977 - 4.778 = +0.199 IPC damage/StB

    1 StB A1 first strike doing SBR against 2 intercepting Fgs D2
    Sum: + 3.874 - 7.185 = -3.311 IPCs damage/SBR

    1 StB & 1 Fg A1 first strike doing SBR against 2 intercepting Fgs D2
    Sum: +7.557 - 7.556 = +0.001 IPCs damage/StB

    2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2
    Sum: +9.954 - 9.556 = +0.398 IPC damage/StB

    1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fgs D2
    Sum: +7.639 - 5.159 = + 2.480 IPCs damage/SBR run

    2 StBs A1 first strike doing SBR against 1 intercepting Fgs D2
    Sum: +11.162 - 6.315 = + 4.847 IPCs damage/SBR run

    G40 OOB SBR: / 1942.2 SBR HR #1, OOB+ Higher damage: 1D6+2 / 1942.2 SBR HR #2
    1 StB doing SBR without interceptor
    Sum: +4.583 - 2 = +2.583 IPCs damage/SBR run Same Same

    1 StB A1 against 1 Fg D1 damage: 1D6+2 1 StB A1 first strike vs 1 Fg D2 / 1 StB A1 regular vs 1 Fg D2
    Sum: + 5.486 - 3.667 = + 1.819 IPCs damage/SBR run +4.977 - 4.778 = + 0.199 IPC /+4.723 - 5.333 = - 0.61 IPC damage/SBR run

    1 StB A1 doing SBR against 2 intercepting Fgs D1
    Sum: + 4.85 - 5.056 = - 0.206 IPC damage/SBR run +3.874 - 7.185 = - 3.311 IPCs damage/SBR run / +3.704 - 7.556 = - 3.852 IPCs damage/SBR run

    1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
    Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run +7.557 - 7.556 = +0.001 IPC damage/SBR run / +7.557 - 7.556 = +0.001 IPC damage/SBR run

    2 StBs A1 doing SBR against 2 intercepting Fgs D1
    Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run +9.954 - 9.556 = - 0.002 IPC damage/SBR run / +9.445 - 10.667 = - 1.222 IPCs damage/SBR run

    1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
    Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run +7.639 - 5.159 = + 2.480 IPCs damage/SBR run /+7.639 - 5.159 = + 2.48 IPCs damage/SBR run

    2 StBs A1 doing SBR against 1 intercepting Fg D1
    Sum: +11.459 - 5.666 = + 5.793 IPCs damage/SBR run +11.162 - 6.315 = + 4.847 IPCs damage/SBR run /+10.639 - 7.334 = +3.304 IPCs damage/SBR run

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR

    Bomber A1  Damage: 2D6

    Fighter A1 D2

    @Baron:

    @Zhukov44:

    Interesting thread.

    I recall that when Global was being playtested, it was put to LH that even though bombers had been reduced to 12$ since aa50, players still strongly preferred 10$ fighters, and nobody was SBRing because it was usually overly risky.  So the average SBR damage was raised from 3.5 to 5.5.

    This might have been a bit too much.  Even though SBR remains dicey and risky, it is now almost always a solid play economically, provided there aren’t better targets or there aren’t too many interceptors. This means that as along as there are unbombed factories, bombers always have a target.

    Another factor improving bombers are airbases.  Given their badass range, bombers can usually land on an airbase, which just increases their effectiveness all the more.

    The main thing Allies can do to protect themselves is combine their defensive stacks–on land, at sea, and at airbases.

    You omit to mention also that Fg interceptor was reduced to @1 also.
    While StB was given @1 attack also.
    And finally, after A&A50,
    IC’s AA gun @1 was fired after interception phase and against StBs only,
    instead of before the interception phase and against all StBs and escorting Fgs.

    So many changes were made by Larry H. to entice SBR.

    Personally, I believe he shouldn’t have lowered the Fighter interceptors to @1.
    @2 could have work better to gives a little advantage to the defender.
    I would even agree to give StB 2D6 damage instead of D6+2 (7 IPCs on average instead of 5.5 IPCs), if only agree to raise the Fighter defense to @2.
    And this will not be unbalancing on a statistical POV.
    If you wish to compare with OOB G40 SBR, you will see that OOB was still more advantageous than giving 2D6 damage against Fg Def@2.

    Global 1940 SBR HRules SBR damage 1D6+2 / Interceptor Def @2

    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2        / HR SBR = Damage 2D6 (avg 7 IPCs)
    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run                                                Sum: + 5.833 - 2 = +3.833 IPCs damage/SBR run

    G40 SBR HRules :1 StB A1 regular vs 1 Fg D2
    Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR run                                            Sum: + 5.556 - 5.333 = + 0.223 IPC. damage/SBR run

    G40 SBR HR: 1 StB A1 regular doing SBR against 2 intercepting Fgs D2
    Sum: +3.704- 7.556 = - 3.852 IPCs damage/SBR run                                            Sum: +4.260- 7.556 = - 3.296 IPCs damage/SBR run

    G40 SBR HR: 1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D2
    Sum: + 7.408 - 8.667 = - 1.259 IPC damage/SBR run                                            Sum: + 8.519 - 8.667 = - 0.148 IPC damage/SBR run

    G40 SBR HR: 2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
    Sum: +9.445 - 10.667 = - 1.222 IPCs damage/SBR run                                          Sum: +11.112 - 10.667 = + 0.445 IPCs damage/SBR run

    G40 HR: 1 StB & 1 Fg A1 doing SBR against 1 intercepting Fgs D2
    Sum: + 7.639 - 5.333 = + 2.306 IPCs damage/SBR run                                            Sum: + 8.889 - 5.333 = + 3.556 IPCs damage/SBR run

    G40 SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D2         
    Sum: +10.639 - 7.334 = + 3.304 IPCs damage/SBR run                                          Sum: +12.722 - 7.334 = + 5.388 IPCs damage/SBR run

    @Baron:

    To give everyone an opportunity to make his own mind about which SBR rules is his prefered one, and their impact and odds, here is a complete summary of all the calc results about various SBR rules with different combination of units:

    OOB G40 SBR: damage: 1D6+2
    1 StB doing SBR without interceptor
    Sum: +4.583 - 2 = +2.583 IPCs damage/SBR run

    1 StB A1 against 1 Fg D1
    Sum: + 5.486 - 3.667 = + 1.819 IPC damage/SBR run

    1 StB A1 doing SBR against 2 intercepting Fgs D1
    Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR run

    1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
    Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run

    2 StBs A1 doing SBR against 2 intercepting Fgs D1
    Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run

    1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
    Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run

    2 StBs A1 doing SBR against 1 intercepting Fg D1
    Sum: +11.459 - 5.666 = + 5.793 IPCs damage/SBR run

    Here is a link to NightBombing SBR various approach and stats:
    http://www.axisandallies.org/forums/index.php?topic=33329.msg1280598#msg1280598

    @Baron:

    Comparison of this HR with Triple A SBR for 1942.2 and below with the OOB SBR optional escort and intercept rules of 1942 2nd edition

    HRules with StB A0 and Fg A1 D1 : damage 1D6+2                  Triple A SBR for 1942.2: all planes A1 D1, damage 1D6

    1 St Bomber doing SBR against no interceptor                                                                            1 StB doing SBR without interceptor
    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run                                                                    Sum: +2.917 - 2 = +0.917 IPC damage/SBR run

    1 St Bomber A0 doing SBR against 1 interceptor D1                                                                    1 StB A1 against 1 Fg D1
    Sum: + 3.819 - 3.667 = + 0.152 IPC. damage/SBR run                                                              Sum: +3.69 - 3.667 = + 0.023 IPC damage/SBR run

    1 St Bomber A0 doing SBR against 2 interceptors D1                                                                  1 StB A1 doing SBR against 2 intercepting Fgs D1
    Sum: + 3.183 - 5.056 = - 1.873 IPC. damage/SBR run                                                              Sum: + 2.025 - 5.056 = - 3.031 IPCs damage/SBR run

    1 Fighter A1 and 1 Strategic Bomber A0 doing SBR against 2 interceptors D1                     1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
    Sum: + 6.123 - 5.334 = + 0.789 IPC damage/SBR run                                                              Sum: +6.155 - 5.33 = + 0.825 IPC damage/SBR run

    2 St Bombers A0 doing SBR against 2 interceptors D1                                                      2 StBs A1 doing SBR against 2 intercepting Fgs D1
    Sum: + 7.639 - 7.334 = + 0.305 IPCs damage/SBR run                                                            Sum: +8.195 - 7.334 = + 0.861 IPC damage/SBR run

    1 Fighter A1 and 1 St Bomber A0 doing SBR against 1 interceptor D1                                1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
    Sum: + 6.250 - 3.667 = + 2.583 IPC damage/SBR run                                                              Sum: + 5.973 - 3.667 = + 2.306 IPCs damage/SBR run

    2 Strategic Bombers A0 doing SBR against 1 interceptor D1                                            2 StBs A1 doing SBR against 1 intercepting Fg D1
    Sum: + 8.403 - 5.666 = + 2.737 IPCs damage/SBR run                                                            Sum: +8.403 - 5.666 = + 2.737 IPCs damage/StB
    http://www.axisandallies.org/forums/index.php?topic=34118.msg1311986#msg1311986

    OOB SBR rules for 1942.2: Fg and StB attack @1 first strike and Fg defend @2
    1 StB doing SBR without interceptor damage: 1D6
    Sum: + 2.917 - 2 = +0.917 IPC damage/SBR run

    1 StB A1 first strike against 1 Fg D2
    Sum: + 3.8 - 4.8 = - 1 IPC damage/SBR run

    1 StB A1 first strike doing SBR against 2 intercepting Fgs D2 / damage 1D6
    Sum: + 3.071 - 7.185 = - 4.114 IPC. damage/SBR run

    1 StB & 1 Fg A1 first strike doing SBR against 2 intercepting Fgs D2
    Sum: + 6.018 - 7.555 = - 1.537 IPCs damage/SBR run

    2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2
    Sum: +7.547 - 9.556 = - 2.009 IPCs damage/SBR run

    1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D2
    Sum: + 5.973 - 5.159 = + 0.814 IPCs damage/SBR run

    2 StBs A1 first strike doing SBR against 1 intercepting Fg D2
    Sum: + 8.214 - 6.315 = + 1.899 IPCs damage/SBR run

    There is many statistical tables in this thread to compare with various SBR system.
    http://www.axisandallies.org/forums/index.php?topic=34118.msg1311386#msg1311386

    1942.2 SBR House Rules :
    1 StB doing SBR without interceptor, damage 1D6+2
    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run

    1 StB A1 regular vs 1 Fg D2
    Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR run

    1 StB A1 regular doing SBR against 2 intercepting Fgs D2
    Sum: +3.704 - 7.556 = - 3.852 IPCs damage/SBR run

    1 StB & 1 Fg A1 first strike (due to combined arms with Fg escort) doing SBR against 2 intercepting Fgs D2
    Sum: + 7.554 - 7.564 = - 0.01 IPC damage/SBR run

    2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
    Sum: +9.445 - 10.667 = - 1.222 IPCs damage/SBR run

    1 StB & 1 Fg A1 first strike (due to combined arms with Fg escort) doing SBR against 1 intercepting Fg D2
    Sum: + 7.639 - 5.159 = + 2.48 IPCs damage/SBR run

    2 StBs A1 regular doing SBR against 1 intercepting Fg D2
    Sum: +10.639 - 7.334 = + 3.304 IPCs damage/SBR run

    Here is some maths evaluation to compare with other actual rules (provided in the above quote) :

    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2  / damage 2D6
    5/6 StB survived * 5.5 IPCs = 4.583 IPCs                                  5/6 StB survived * 7 IPCs = + 5.833 IPCs
    1/6 StB killed *12 IPCs = -2 IPCs

    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run          Sum: + 5.833 - 2 = +3.833 IPCs damage/SBR run

    G40 SBR HRules :1 StB A1 regular vs 1 Fg D2

    StB roll /Fg roll / AAA roll = odds casualties

    1/62/66/6= 12/216 1 StB killed by AAA vs 1 Fg killed: 5.556%
    1/64/61/6= 4/216 1 StB killed by AAA vs 1 Fg killed: 1.852%
    1/64/65/6= 20/216 no casualty vs 1 Fg killed: 9.259%

    5/62/66/6= 60/216 StB killed by Fg: 27.778%
    5/64/61/6= 20/216 StB killed by AAA: 9.259%
    5/64/65/6= 100/216 both survived: 46.296%

    Results:
    Bombard on IC 120/216= 55.556% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.056 IPCs        / +7 IPCs = +3.889 IPCs
    killing Fg 36/216= 16.667% *+10 IPC = + 1.667 IPC
    StB killed 96/216= 44.444% *-12 IPCs = - 5.333 IPCs
    Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR run                              Sum: + 5.556 - 5.333 = + 0.223 IPC. damage/SBR run

    G40 SBR HR: 1 StB A1 regular doing SBR against 2 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/620/366/6 = 120/1296 1 StB killed by Fg vs 1 Fg
    1/616/361/6= 16/1296 1 StB killed by AAA vs 1 Fg
    1/616/365/6 = 80/1296 no casualty vs 1 Fg

    5/620/366/6 = 600/1296 1 StB killed by Fg vs no casualty
    5/616/361/6 = 80/1296 1 StB killed by AAA vs no casualty
    5/616/365/6 = 400/1296 no casualty at all

    Results:
    Bombard on IC: 480/1296= 37.037% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.037 IPCs                    / +7 IPCs = +2.593 IPCs
    Killing 1 Fg: 216/1296= 16.667% +10 IPCs = + 1.667 IPCs
    1 StB killed: 816/1296= 62.963%    -12 IPCs = - 7.556 IPCs

    Sum: +3.704- 7.556 = - 3.852 IPCs damage/SBR run                                  Sum: +4.260- 7.556 = - 3.296 IPCs damage/SBR run

    G40 SBR HR: 1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    1/364/366/6 = 24/7776 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    1/3616/361/6 = 16/7776 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    1/3616/365/6 = 80/7776 1 Fg killed vs 2 Fgs
    1/3616/361/6 = 16/7776 1 StB killed by AAA vs 2 Fgs
    1/3616/365/6 = 80/7776 no casualty vs 2 Fgs

    10/364/366/6 = 240/7776 1 Fg and 1 StB killed by Fgs vs 1 Fg
    10/3616/361/6 = 160/7776 1 Fg and 1 StB killed by AAA vs 1 Fg
    10/3616/365/6 = 800/7776 1 Fg vs 1 Fg
    10/3616/361/6= 160/7776 1 StB killed by AAA vs 1 Fg
    10/3616/365/6 = 800/7776 no casualty vs 1 Fg

    25/364/366/6 = 600/7776 1 Fg and 1 StB killed by Fg vs no casualty
    25/3616/361/6 = 400/7776 1 Fg and 1 StB killed by AAA vs no casualty
    25/3616/365/6 = 2000/7776 1 Fg vs no casualty
    25/3616/361/6 = 400/7776 1 StB killed by AAA vs no casualty
    25/3616/365/6 = 2000/7776 no casualty at all

    Results:
    Bombard on IC: 5760/7776= 74.07%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.074 IPCs            / +7 IPCs = +5.185 IPCs
    Killing 2 Fgs: 216/7776= 2.78%+20 IPCs = + 0.556 IPC
    Killing 1 Fg: 2160/7776= 27.78% +10 IPCs = + 2.778 IPCs
    Fg killed: 2880/7776= 37.04%    -10 IPCs = - 3.704 IPCs
    StB killed: 576/7776= 7.41%    -12 IPCs = - 0.889 IPCs
    StB & Fg killed: 1440/7776=18.52%*-22 IPCs = - 4.074 IPCs

    Sum: + 7.408 - 8.667 = - 1.259 IPC damage/SBR run                                  Sum: + 8.519 - 8.667 = - 0.148 IPC damage/SBR run

    G40 SBR HR: 2 StBs A1 regular doing SBR against 2 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/364/3636/36 = 144/46656 2 StBs killed by Fg vs 2 Fgs: 0.309%
    1/3616/366/36 = 96/46656 1 StB killed by Fg and 1 StB killed by AAA vs 2 Fgs : 0.206%
    1/3616/3630/36 = 480/46656 1 StB killed by Fg vs 2 Fgs : 1.029%
    1/3616/361/36 = 16/46656 2 StBs killed by AAA vs 2 Fgs : 0.034%
    1/3616/3610/36 = 160/46656 1 StB killed by AAA vs 2 Fgs : 0.343%
    1/3616/3625/36 = 400/46656 no casualty vs 2 Fgs : 0.857%

    10/364/3636/36 = 1440/46656 2 StBs killed by Fg vs 1 Fg: 3.086%
    10/3616/366/36 = 960/46656 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg : 2.058%
    10/3616/3630/36 = 4800/46656 1 StB killed by Fg vs 1 Fg : 10.288%
    10/3616/361/36= 160/46656 2 StBs killed by AAA vs 1 Fg : 0.343%
    10/3616/3610/36= 1600/46656 1 StB killed by AAA vs 1 Fg : 3.429%
    10/3616/3625/36 = 4000/46656 no casualty vs 1 Fg : 8.573%

    25/364/3636/36 = 3600/46656 2 StBs killed by Fg vs no casualty : 7.716%
    25/3616/366/36 = 2400/46656 1 StB killed by Fg and 1 StB killed by AAA vs no casualty : 5.144%
    25/3616/3630/36 = 12000/46656 1 StBs killed by Fg vs no casualty : 25.72%
    25/3616/361/36 = 400/46656 2 StBs killed by AAA vs no casualty : 0.857%
    25/3616/3610/36 = 4000/46656 1 StB killed by AAA vs no casualty : 8.573%
    25/3616/3625/36 = 10000/46656 no casualty at all : 21.433%

    Results:
    2x Bombard on IC: 14400/46656= 30.864% * ((6+16) IPCs)/2= +11 IPCs) = + 3.395 IPCs                    / +14 IPCs= + 4.321 IPCs
    1x Bombard on IC: 23040/46656= 49.383% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.716 IPCs                      / +7 IPCs = + 3.457 IPCs
    Killing 2 Fgs: 1296/46656= 2.778%+20 IPCs = + 0.556 IPC
    Killing 1 Fg: 12960/46656= 27.778% +10 IPCs = + 2.778 IPCs
    2 StBs killed: 9216/46656= 19.753%    -24 IPCs = - 4.741 IPCs
    1 StB killed: 23040/46656= 49.383%    -12 IPCs = - 5.926 IPCs

    Sum: +9.445 - 10.667 = - 1.222 IPCs damage/SBR run                                    Sum: +11.112 - 10.667 = + 0.445 IPCs damage/SBR run

    G40 HR: 1 StB & 1 Fg A1 doing SBR against 1 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/362/61/6= 22/1296 1 Fg killed and 1 StB killed by AAA vs 1 Fg
    11/362/65/6= 110/1296 1 Fg killed vs 1 Fg
    11/364/61/6= 44/1296 1 StB killed by AAA vs 1 Fg
    11/364/65/6 = 220/1296 no casualty vs 1 Fg

    25/362/61/6 = 50/1296 1 Fg and 1 StB killed by AAA vs no casualty
    25/362/65/6 = 250/1296 1 Fg vs no casualty
    25/364/61/6 = 100/1296 1 StB killed by AAA vs no casualty
    25/364/65/6 = 500/1296 no casualty at all

    Results:
    Bombard on IC: 1080/1296 = 83.333% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs                              / +7 IPCs = + 5.833 IPCs
    Killing 1 Fg: 396/1296 = 30.556% +10 IPCs = + 3.056 IPCs
    Fg killed: 360/1296 = 27.778%    -10 IPCs = - 2.778 IPCs
    StB killed: 144/1296 = 11.111%-12 IPCs = - 1.333 IPCs
    StB & Fg killed: 72/1296 = 5.556%    -22 IPCs = - 1.222 IPCs

    Sum: + 7.639 - 5.333 = + 2.306 IPCs damage/SBR run                                    Sum: + 8.889 - 5.333 = + 3.556 IPCs damage/SBR run

    G40 SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/362/66/36 = 132/7776 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    11/362/630/36 = 660/7776 1 StB killed by Fg vs 1 Fg
    11/364/61/36 = 44/7776 2 StBs killed by AAA vs 1 Fg
    11/364/610/36 = 440/7776 1 StB killed by AAA vs 1 Fg
    11/364/625/36 = 1100/7776 no casualty vs 1 Fg

    25/362/66/36 = 300/7776 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    25/362/630/36 = 1500/7776 1 StBs killed by Fg vs no casualty
    25/364/61/36 = 100/7776 2 StBs killed by AAA vs no casualty
    25/364/610/36 = 1000/7776 1 StB killed by AAA vs no casualty
    25/364/625/36 = 2500/7776 no casualty at all

    Results:
    2x Bombard on IC: 3600/7776= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs                                / +14 IPCs= + 6.481 IPCs
    1x Bombard on IC: 3600/7776= 46.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs                                  / +7 IPCs = + 3.241 IPCs
    Killing 1 Fg: 2332/7776= 29.999% +10 IPCs = + 3.00 IPCs
    2 StBs killed: 576/7776= 7.407%    -24 IPCs = - 1.778 IPCs
    1 StB killed: 3600/7776= 46.296%*-12 IPCs = - 5.556 IPCs

    Sum: +10.639 - 7.334 = + 3.304 IPCs damage/SBR run                                  Sum: +12.722 - 7.334 = + 5.388 IPCs damage/SBR run

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR

    Bomber A1  Damage: 2D6

    Fighter A1 First Strike D2
    Combined arms: 1 Fighter gives First Strike to all attacking Bombers

    Various odds with A2 D2 Fg:

    2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/3636/361/36 = 36/46656 2 StBs killed by AAA vs 2 Fgs : 0.077%
    1/3636/3610/36 = 360/46656 1 StB killed by AAA vs 2 Fgs : 0.772%
    1/3636/3625/36 = 900/46656 no casualty vs 2 Fgs : 1.929%

    10/3612/366/36 = 720/46656 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg : 1.543%
    10/3612/3630/36 = 3600/46656 1 StB killed by Fg vs 1 Fg : 7.716%
    10/3624/361/36= 240/46656 2 StBs killed by AAA vs 1 Fg : 0.514%
    10/3624/3610/36= 2400/46656 1 StB killed by AAA vs 1 Fg : 5.144%
    10/3624/3625/36 = 6000/46656 no casualty vs 1 Fg : 12.86%

    25/364/3636/36 = 3600/46656 2 StBs killed by Fg vs no casualty : 7.716%
    25/3616/366/36 = 2400/46656 1 StB killed by Fg and 1 StB killed by AAA vs no casualty : 5.144%
    25/3616/3630/36 = 12000/46656 1 StBs killed by Fg vs no casualty : 25.72%
    25/3616/361/36 = 400/46656 2 StBs killed by AAA vs no casualty : 0.857%
    25/3616/3610/36 = 4000/46656 1 StB killed by AAA vs no casualty : 8.573%
    25/3616/3625/36 = 10000/46656 no casualty at all : 21.433%

    Results:
    2x Bombard on IC: 16900/46656= 36.223% * ((6+16) IPCs)/2= +11 IPCs) = +3.984 IPCs
    1x Bombard on IC: 22360/46656= 47.925% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.636 IPCs
    Killing 2 Fgs: 1296/46656 = 2.778%+20 IPCs = +0.556 IPC
    Killing 1 Fg: 12960/46656 = 27.778% +10 IPCs = +2.778 IPCs
    2 StBs killed: 7396/46656= 15.852%    -24 IPCs = - 3.805 IPCs
    1 StB killed: 22360/46656= 47.925%    -12 IPCs = - 5.751 IPCs
            / Damage by 1 StB killed by AAA: 6760/46656 = + 14.489% * 1x = /    2 StBs killed by AAA: 676/46656 = + 1.449% * 2x =
    *+7/+3.5 IPCs = +2.536  /+1.677 /  +1 IPC = +0.145  / +0.029 IPC
    *+9/+4.5 IPCs = +3.260  / +2.157 / +1 IPC = +0.145 / +0.029 IPC
    *+11/+5.5 IPCs = +3.984 / +2.636  /  +2 IPCs = +0.290  / +0.058 IPC
    *+13/+6.5 IPCs = +4.709  / +3.115 /+3 IPCs = +0.435 / +0.087 IPC
    *+14/+7.0 IPCs = +5.071 / +3.355  /  +3 IPCs = +0.435 / +0.087 IPC

    First target: StB A1 first strike, as AAA up to 2 Fgs      /  with special HR bonus damage to IC when 1 or 2 StBs are killed by IC’s AAA
    1D6: +7.547 - 9.556 = -2.009 IPCs damage/SBR      / -1.835 IPCs damage/SBR
    1D6+1: +8.751 - 9.556 = -0.805 IPCs damage/SBR    / -0.631 IPCs damage/SBR
    1D6+2: +9.954 - 9.556 = +0.398 IPCs damage/SBR  / +0.746 IPCs damage/SBR
    1D6+3: +11.158 - 9.556 = +1.602 IPCs damage/SBR  / +2.124 IPCs damage/SBR
    2D6: +11.760 - 9.556 = +2.204 IPCs damage/SBR  / +2.726 IPCs damage/SBR

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR
    Bomber A1 Damage: 1D6+2 / 1D6+3 / 2D6

    Fighter A2 D2

    @Baron:

    Strategic Bomber in air-to-air combat SBR:
    Attack 1
    Bombard IC or AB or NB damage: 2D6

    Fighter in air-to-air combat SBR:
    Attack 2
    Defend 2

    Tactical Bomber in air-to-air combat SBR:
    Attack 1
    Bombard AB or NB damage: 1D6

    IC’s AAA: @1 against each Strategic Bomber
    Naval Base or Air Base: @1 against each Strategic Bomber or Tactical bomber

    Global 1940 SBR HRules SBR damage 1D6+2 / Interceptor Def @2

    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2 / HR SBR = Damage 1D6+3 (avg 6.5 IPCs)
    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR Sum: + 5.417 - 2 = +3.417 IPCs damage/SBR

    G40 SBR HRules :1 StB A1 regular vs 1 Fg D2
    Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR Sum: +5.278 -5.333 = -0.055 IPC damage/SBR

    G40 SBR HR: 1 StB A1 regular doing SBR against 2 intercepting Fgs D2
    Sum: +3.704- 7.556 = - 3.852 IPCs damage/SBR Sum: +4.074- 7.556 = - 3.482 IPCs damage/SBR

    G40 SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2
    Sum: + 9.074 - 8.667 = + 0.407 IPC damage/SBR Sum: + 9.815 - 8.667 = + 1.148 IPC damage/SBR

    G40 SBR HR: 2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
    Sum: +9.445 - 10.667 = - 1.222 IPCs damage/SBR Sum: +10.556 - 10.667 = - 0.111 IPCs damage/SBR

    G40 HR: 1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2
    Sum: + 9.027 - 5.333 = + 3.694 IPCs damage/SBR Sum: + 9.861 - 5.333 = + 4.528 IPCs damage/SBR

    G40 SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D2
    Sum: +10.639 - 7.334 = + 3.304 IPCs damage/SBR Sum: +12.027 - 7.334 = + 4.693 IPCs damage/SBR

    Global40 SBR HRules : 2 StBs doing SBR without interceptor, damage D6+2  / Damage D6+3 (avg 6.5 IPCs)
    Sum: + 9.166 - 4 = +5.166 IPCs damage/SBR Sum: + 10.834 - 4 = +6.834 IPCs damage/SBR

    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2 / HR SBR = Damage 2D6 (avg 7 IPCs)
    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR  Sum: + 5.833 - 2 = +3.833 IPCs damage/SBR

    G40 SBR HRules :1 StB A1 regular vs 1 Fg D2
    Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR  Sum: + 5.556 - 5.333 = + 0.223 IPC. damage/SBR

    G40 SBR HR: 1 StB A1 regular doing SBR against 2 intercepting Fgs D2
    Sum: +3.704- 7.556 = - 3.852 IPCs damage/SBR Sum: +4.260- 7.556 = - 3.296 IPCs damage/SBR

    G40 SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2
    Sum: + 9.074 - 8.667 = + 0.407 IPC damage/SBR Sum: + 10.185 - 8.667 = + 1.518 IPC damage/SBR

    G40 SBR HR: 2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
    Sum: +9.445 - 10.667 = - 1.222 IPCs damage/SBR Sum: +11.112 - 10.667 = + 0.445 IPCs damage/SBR

    G40 HR: 1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2
    Sum: + 9.027 - 5.333 = + 3.694 IPCs damage/SBR Sum: + 10.277 - 5.333 = + 4.944 IPCs damage/SBR

    G40 SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D2
    Sum: +10.639 - 7.334 = + 3.304 IPCs damage/SBR Sum: +12.722 - 7.334 = + 5.388 IPCs damage/SBR

    Global40 SBR HRules : 2 StBs doing SBR without interceptor, damage D6+2  / HR SBR = Damage 2D6 (avg 7 IPCs)
    Sum: + 9.166 - 4 = +5.166 IPCs damage/SBR  Sum: + 11.666 - 4 = +7.666 IPCs damage/SBR

    Here is some maths evaluation to compare with other actual rules (provided in the above quote) :

    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2  / damage 2D6
    5/6 StB survived * 5.5 IPCs = 4.583 IPCs 5/6 StB survived * 7 IPCs = + 5.833 IPCs
    1/6 StB killed *12 IPCs = -2 IPCs

    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR Sum: + 5.833 - 2 = +3.833 IPCs damage/SBR

    G40 SBR HRules :1 StB A1 regular vs 1 Fg D2

    StB roll /Fg roll / AAA roll = odds casualties

    1/62/66/6= 12/216 1 StB killed by AAA vs 1 Fg killed: 5.556%
    1/64/61/6= 4/216 1 StB killed by AAA vs 1 Fg killed: 1.852%
    1/64/65/6= 20/216 no casualty vs 1 Fg killed: 9.259%

    5/62/66/6= 60/216 StB killed by Fg: 27.778%
    5/64/61/6= 20/216 StB killed by AAA: 9.259%
    5/64/65/6= 100/216 both survived: 46.296%

    Results:
    Bombard on IC 120/216= 55.556% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.056 IPCs / 6.5 IPCs =+3.611 IPCs / +7 IPCs = +3.889 IPCs
    killing Fg 36/216= 16.667% *+10 IPC = + 1.667 IPC
    StB killed 96/216= 44.444% *-12 IPCs = - 5.333 IPCs
    Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR/ +5.278 -5.333 = -0.055 IPC damage/SBR / +5.556 -5.333 = +0.223 IPC damage/SBR

    G40 SBR HR: 1 StB A1 regular doing SBR against 2 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/620/366/6 = 120/1296 1 StB killed by Fg vs 1 Fg
    1/616/361/6= 16/1296 1 StB killed by AAA vs 1 Fg
    1/616/365/6 = 80/1296 no casualty vs 1 Fg

    5/620/366/6 = 600/1296 1 StB killed by Fg vs no casualty
    5/616/361/6 = 80/1296 1 StB killed by AAA vs no casualty
    5/616/365/6 = 400/1296 no casualty at all

    Results:
    Bombard on IC: 480/1296= 37.037% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.037 IPCs /6.5 IPCs =+2.407 IPCs / +7 IPCs = +2.593 IPCs
    Killing 1 Fg: 216/1296= 16.667% +10 IPCs = + 1.667 IPCs
    1 StB killed: 816/1296= 62.963%    -12 IPCs = - 7.556 IPCs

    Sum: +3.704- 7.556 = - 3.852 IPCs damage/SBR +4.074-7.556= -3.482 IPCs damage/SBR/ Sum: +4.260- 7.556 = - 3.296 IPCs damage/SBR

    G40 SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    2/364/366/6 = 48/7776 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    2/3616/361/6 = 32/7776 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    2/3616/365/6 = 160/7776 1 Fg killed vs 2 Fgs
    2/3616/361/6 = 32/7776 1 StB killed by AAA vs 2 Fgs
    2/3616/365/6 = 160/7776 no casualty vs 2 Fgs

    14/364/366/6 = 336/7776 1 Fg and 1 StB killed by Fgs vs 1 Fg
    14/3616/361/6 = 224/7776 1 Fg and 1 StB killed by AAA vs 1 Fg
    14/3616/365/6 = 1120/7776 1 Fg vs 1 Fg
    14/3616/361/6= 224/7776 1 StB killed by AAA vs 1 Fg
    14/3616/365/6 = 1120/7776 no casualty vs 1 Fg

    20/364/366/6 = 480/7776 1 Fg and 1 StB killed by Fg vs no casualty
    20/3616/361/6 = 320/7776 1 Fg and 1 StB killed by AAA vs no casualty
    20/3616/365/6 = 1600/7776 1 Fg vs no casualty
    20/3616/361/6 = 320/7776 1 StB killed by AAA vs no casualty
    20/3616/365/6 = 1600/7776 no casualty at all

    Results:
    Bombard on IC: 5760/7776= 74.07%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.074 IPCs /6.5 IPCs =+4.815 IPCs� / +7 IPCs = +5.185 IPCs
    Killing 2 Fgs: 432/7776= 2.78%+20 IPCs = + 1.111 IPC
    Killing 1 Fg: 3024/7776= 27.78% +10 IPCs = + 3.889 IPCs
    Fg killed: 2880/7776= 37.04%    -10 IPCs = - 3.704 IPCs
    StB killed: 576/7776= 7.41%    -12 IPCs = - 0.889 IPCs
    StB & Fg killed: 1440/7776=18.52%*-22 IPCs = - 4.074 IPCs

    Sum: + 9.074 - 8.667 = + 0.407 IPC damage/SBR / +9.815 - 8.667= +1.148 IPCs / Sum: + 10.185 - 8.667 = + 1.518 IPC damage/SBR

    G40 SBR HR: 2 StBs A1 regular doing SBR against 2 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/364/3636/36 = 144/46656 2 StBs killed by Fg vs 2 Fgs: 0.309%
    1/3616/366/36 = 96/46656 1 StB killed by Fg and 1 StB killed by AAA vs 2 Fgs : 0.206%
    1/3616/3630/36 = 480/46656 1 StB killed by Fg vs 2 Fgs : 1.029%
    1/3616/361/36 = 16/46656 2 StBs killed by AAA vs 2 Fgs : 0.034%
    1/3616/3610/36 = 160/46656 1 StB killed by AAA vs 2 Fgs : 0.343%
    1/3616/3625/36 = 400/46656 no casualty vs 2 Fgs : 0.857%

    10/364/3636/36 = 1440/46656 2 StBs killed by Fg vs 1 Fg: 3.086%
    10/3616/366/36 = 960/46656 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg : 2.058%
    10/3616/3630/36 = 4800/46656 1 StB killed by Fg vs 1 Fg : 10.288%
    10/3616/361/36= 160/46656 2 StBs killed by AAA vs 1 Fg : 0.343%
    10/3616/3610/36= 1600/46656 1 StB killed by AAA vs 1 Fg : 3.429%
    10/3616/3625/36 = 4000/46656 no casualty vs 1 Fg : 8.573%

    25/364/3636/36 = 3600/46656 2 StBs killed by Fg vs no casualty : 7.716%
    25/3616/366/36 = 2400/46656 1 StB killed by Fg and 1 StB killed by AAA vs no casualty : 5.144%
    25/3616/3630/36 = 12000/46656 1 StBs killed by Fg vs no casualty : 25.72%
    25/3616/361/36 = 400/46656 2 StBs killed by AAA vs no casualty : 0.857%
    25/3616/3610/36 = 4000/46656 1 StB killed by AAA vs no casualty : 8.573%
    25/3616/3625/36 = 10000/46656 no casualty at all : 21.433%

    Results:
    2x Bombard on IC: 14400/46656= 30.864% * ((6+16) IPCs)/2= +11 IPCs) = + 3.395 IPCs / 13 IPCs= + 4.012 IPCs / +14 IPCs= + 4.321 IPCs
    1x Bombard on IC: 23040/46656= 49.383% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.716 IPCs / 6.5 IPCs= + 3.210 IPCs / +7 IPCs = + 3.457 IPCs
    Killing 2 Fgs: 1296/46656= 2.778%+20 IPCs = + 0.556 IPC
    Killing 1 Fg: 12960/46656= 27.778% +10 IPCs = + 2.778 IPCs
    2 StBs killed: 9216/46656= 19.753%    -24 IPCs = - 4.741 IPCs
    1 StB killed: 23040/46656= 49.383%    -12 IPCs = - 5.926 IPCs

    Sum: +9.445 - 10.667 = - 1.222 IPCs damage/SBR/ +10.556-10.667= -0.111 IPCs / Sum: +11.112 - 10.667 = + 0.445 IPCs damage/SBR run

    G40 HR: 1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    16/362/61/6= 32/1296 1 Fg killed and 1 StB killed by AAA vs 1 Fg
    16/362/65/6= 160/1296 1 Fg killed vs 1 Fg
    16/364/61/6= 64/1296 1 StB killed by AAA vs 1 Fg
    16/364/65/6 = 320/1296 no casualty vs 1 Fg

    20/362/61/6 = 40/1296 1 Fg and 1 StB killed by AAA vs no casualty
    20/362/65/6 = 200/1296 1 Fg vs no casualty
    20/364/61/6 = 80/1296 1 StB killed by AAA vs no casualty
    20/364/65/6 = 400/1296 no casualty at all

    Results:
    Bombard on IC: 1080/1296 = 83.333% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs / +6.5 IPCs= 5.417 IPCs / +7 IPCs = + 5.833 IPCs
    Killing 1 Fg: 576/1296 = 44.444% +10 IPCs = + 4.444 IPCs
    Fg killed: 360/1296 = 27.778%    -10 IPCs = - 2.778 IPCs
    StB killed: 144/1296 = 11.111%-12 IPCs = - 1.333 IPCs
    StB & Fg killed: 72/1296 = 5.556%    -22 IPCs = - 1.222 IPCs

    Sum: + 9.027 - 5.333 = + 3.694 IPCs damage/SBR run /+6.5= +9.861 -5.333 = +4.528 IPCs / Sum: + 10.277 - 5.333 = + 4.944 IPCs damage/SBR run

    G40 SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/362/66/36 = 132/7776 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    11/362/630/36 = 660/7776 1 StB killed by Fg vs 1 Fg
    11/364/61/36 = 44/7776 2 StBs killed by AAA vs 1 Fg
    11/364/610/36 = 440/7776 1 StB killed by AAA vs 1 Fg
    11/364/625/36 = 1100/7776 no casualty vs 1 Fg

    25/362/66/36 = 300/7776 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    25/362/630/36 = 1500/7776 1 StBs killed by Fg vs no casualty
    25/364/61/36 = 100/7776 2 StBs killed by AAA vs no casualty
    25/364/610/36 = 1000/7776 1 StB killed by AAA vs no casualty
    25/364/625/36 = 2500/7776 no casualty at all

    Results:
    2x Bombard on IC: 3600/7776= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs / +13 IPCs=+6.018  / +14 IPCs= + 6.481 IPCs
    1x Bombard on IC: 3600/7776= 46.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs / +6.5 IPCs= +3.009/ +7 IPCs = + 3.241 IPCs
    Killing 1 Fg: 2332/7776= 29.999% +10 IPCs = + 3.00 IPCs
    2 StBs killed: 576/7776= 7.407%    -24 IPCs = - 1.778 IPCs
    1 StB killed: 3600/7776= 46.296%*-12 IPCs = - 5.556 IPCs

    Sum: +10.639 - 7.334 = + 3.304 IPCs damage/SBR / Sum:+12.027 -7.334= + 4.693 IPCs /SBR / Sum: +12.722 - 7.334 = + 5.388 IPCs damage/SBR

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR
    Bomber A1 Damage: 2D6

    Fighter A2 D2

    Each bomber can defend @1 against up to 2 Fgs interceptors, whichever the lower: act like an AAA vs 2 planes.
    G40 SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    1/366/64/366/6 = 144/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    1/36    6/616/361/6 = 96/46656 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    1/366/616/365/6 = 480/46656 1 Fg killed vs 2 Fgs
    1/36    6/616/361/6 = 96/46656 1 StB killed by AAA vs 2 Fgs
    1/366/616/36*5/6 = 480/46656 no casualty vs 2 Fgs

    10/362/64/366/6 = 480/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    10/36    2/616/361/6 = 320/46656 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    10/362/616/365/6 = 1600/46656 1 Fg killed vs 2 Fgs
    10/36    2/616/361/6 = 320/46656 1 StB killed by AAA vs 2 Fgs
    10/362/616/36*5/6 = 1600/46656 no casualty vs 2 Fgs

    10/364/64/366/6 = 960/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    10/36    4/616/361/6 = 640/46656 1 Fg killed and 1 StB killed by AAA vs 1 Fg
    10/364/616/365/6 = 3200/46656 1 Fg killed vs 1 Fg
    10/36    4/616/361/6 = 640/46656 1 StB killed by AAA vs 1 Fg
    10/364/616/36*5/6 = 3200/46656 no casualty vs 1 Fg

    25/362/64/366/6 = 1200/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    25/36    2/616/361/6 = 800/46656 1 Fg killed and 1 StB killed by AAA vs 1 Fg
    25/362/616/365/6 = 4000/46656 1 Fg killed vs 1 Fg
    25/36    2/616/361/6 = 800/46656 1 StB killed by AAA vs 1 Fg
    25/362/616/36*5/6 = 4000/46656 no casualty vs 1 Fg

    25/364/64/366/6 = 2400/46656 1 Fg and 1 StB killed by Fgs vs no
    25/36    4/616/361/6 = 1600/46656 1 Fg killed and 1 StB killed by AAA vs no
    25/364/616/365/6 = 8000/46656 1 Fg killed vs no
    25/36    4/616/361/6 = 1600/46656 1 StB killed by AAA vs no
    25/364/616/36*5/6 = 8000/46656 no casualty at all

    Results:
    Bombard on IC: 34560/46656= 74.07%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.074 IPCs /6.5 IPCs =+4.815 IPCs / +7 IPCs = +5.185 IPCs
    Killing 2 Fgs: 5616/46656= 12.037%+20 IPCs = + 2.407 IPCs
    Killing 1 Fg: 19440/46656= 41.667% +10 IPCs = + 4.167 IPCs
    Fg killed: 17280/46656= 37.037%    -10 IPCs = - 3.704 IPCs
    StB killed: 3456/46656= 7.407%    -12 IPCs = - 0.889 IPCs
    StB & Fg killed: 8640/46656=18.519%*-22 IPCs = - 4.074 IPCs

    D6+2: + 10.648 - 8.667 = + 1.981 IPC damage/SBR
    D6+3: +11.389 - 8.667= +2.722 IPCs damage/SBR
    2D6: + 11.759 - 8.667 = + 3.092 IPCs damage/SBR

    G40 SBR HR: 1 StB A1 against up to 2 Fgs doing SBR against 2 intercepting Fgs D2
    Each bomber can defend @1 against up to 2 Fgs interceptors, whichever the lower: act like an AAA vs 2 planes.
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/3620/366/6 = 120/7776 1 StB killed by Fg vs 2 Fg
    1/3616/361/6= 16/7776 1 StB killed by AAA vs 2 Fg
    1/3616/365/6 = 80/7776 no casualty vs 2 Fg

    10/3620/366/6 = 1200/7776 1 StB killed by Fg vs 1 Fg
    10/3616/361/6= 160/7776 1 StB killed by AAA vs 1 Fg
    10/3616/365/6 = 800/7776 no casualty vs 1 Fg

    25/3620/366/6 = 3000/7776 1 StB killed by Fg vs no casualty
    25/3616/361/6 = 400/7776 1 StB killed by AAA vs no casualty
    25/3616/365/6 = 2000/7776 no casualty at all

    Results:
    Bombard on IC: 2880/7776= 37.037% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.037 IPCs / 6.5 IPCs =+2.407 IPCs / 7 IPCs = +2.593 IPCs
    Killing 2 Fg: 216/7776 = 2.778% *+10 IPCs = + 0.278 IPCs
    Killing 1 Fg: 2160/7776= 27.778% +10 IPCs = + 2.778 IPCs
    1 StB killed: 4896/7776= 62.963%    -12 IPCs = - 7.556 IPCs

    D6+2: +5.093- 7.556 = - 2.463 IPCs damage/SBR
    D6+3: +5.463 -7.556= -2.093 IPCs damage/SBR
    2D6: +5.649- 7.556 = - 1.907 IPCs damage/SBR

    G40 SBR HR: 1 StB A1 first strike against up to 2 Fgs doing SBR against 2 intercepting Fgs D2
    Each bomber can defend @1 against up to 2 Fgs interceptors, whichever the lower: act like an AAA vs 2 planes.
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/3636/361/6= 36/7776 1 StB killed by AAA vs 2 Fg
    1/3636/365/6 = 180/7776 no casualty vs 2 Fg

    10/366/366/6 = 360/7776 1 StB killed by Fg vs 1 Fg
    10/3630/361/6= 300/7776 1 StB killed by AAA vs 1 Fg
    10/3630/365/6 = 1500/7776 no casualty vs 1 Fg

    25/3620/366/6 = 3000/7776 1 StB killed by Fg vs no casualty
    25/3616/361/6 = 400/7776 1 StB killed by AAA vs no casualty
    25/3616/365/6 = 2000/7776 no casualty at all

    Results:
    Bombard on IC: 3680/7776= 47.325% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.603 IPCs / 6.5 IPCs =+3.076 IPCs / 7 IPCs = +3.313 IPCs
    Killing 2 Fg: 216/7776 = 2.778% *+10 IPCs = + 0.278 IPCs
    Killing 1 Fg: 2160/7776= 27.778% +10 IPCs = + 2.778 IPCs
    1 StB killed: 4096/7776= 52.675%    -12 IPCs = -6.321 IPCs
                                        / Damage by 1 StB killed by AAA: 736/7776 = + 9.465% * x =
    *3.5 IPCs = +1.656  /  +1 IPC = +0.095 IPC
    *4.5 IPCs = +2.130  /  +1 IPC = +0.095 IPC
    *5.5 IPCs = +2.603  /  +2 IPCs = +0.189 IPC
    *6.5 IPCs = +3.076  /  +3 IPCs = +0.284 IPC
    *7.0 IPCs = +3.313  /  +3 IPCs = +0.284 IPC

    Regular SBRs   A1fs as AA against up to 2 Fgs                        /  with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +4.712 - 6.321 = -1.609 IPCs damage/SBR      / -1.514 IPCs damage/SBR
    1D6+1: +5.186 - 6.321 = -1.135 IPC damage/SBR    / -1.040 IPCs damage/SBR
    1D6+2: +5.659 - 6.321 = -0.662 IPCs damage/SBR  / -0.473 IPC damage/SBR
    1D6+3: +6.132 -6.321 = -0.189 IPCs damage/SBR  / +0.095 IPCs damage/SBR
    2D6: +6.369 - 6.321 = +0.048 IPCs damage/SBR  / +0.764 IPCs damage/SBR

    1942.2 SBR HR: 2 StBs A1 damage: D6+2/ D6+3 / 2D6 doing SBR against 1 intercepting Fgs D2
    With optionnal limitation rule: in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/62/66/36 = 12/1296 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    1/62/630/36 = 60/1296 1 StB killed by Fg vs 1 Fg
    1/64/61/36 = 4/1296 2 StBs killed by AAA vs 1 Fg
    1/64/610/36 = 40/1296 1 StB killed by AAA vs 1 Fg
    1/64/625/36 = 100/1296 no casualty vs 1 Fg

    5/62/66/36 = 60/1296 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    5/62/630/36 = 300/1296 1 StBs killed by Fg vs no casualty
    5/64/61/36 = 20/1296 2 StBs killed by AAA vs no casualty
    5/64/610/36 = 200/1296 1 StB killed by AAA vs no casualty
    5/64/625/36 = 500/1296 no casualty at all

    Results:
    2x Bombard on IC: 600/1296= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs / 13 IPCs =+6.019 IPCs / +14 IPCs = +6.481 IPCs
    1x Bombard on IC: 600/1296= 46.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs / 6.5 IPCs = +3.009 IPCs / +7 IPCs = +3.241 IPCs
    Killing 1 Fg: 216/1296= 16.667% +10 IPCs = + 1.667 IPCs
    2 StBs killed: 96/1296= 7.407%    -24 IPCs = - 1.778 IPCs
    1 StB killed: 600/1296= 46.296%*-12 IPCs = - 5.556 IPCs

    Sum D6+2: +9.306 - 7.334 = +1.972 IPCs damage/SBR
    Sum D6+3: +10.695 - 7.334 = +3.361 IPCs damage/SBR
    Sum 2D6: +11.389 - 7.334 = +4.055 IPCs damage/SBR

    G40 HR: 1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2 Bomber always first target.

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    16/362/66/6= 192/1296 1 StB killed vs 1 Fg
    16/364/61/6= 64/1296 1 StB killed by AAA vs 1 Fg
    16/364/65/6 = 320/1296 no casualty vs 1 Fg

    20/362/66/6 = 240/1296 1StB killed vs no casualty
    20/364/61/6 = 80/1296 1 StB killed by AAA vs no casualty
    20/364/65/6 = 400/1296 no casualty at all

    Results:
    Bombard on IC: 720/1296 = 55.556% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.056 IPCs / +6.5 IPCs= +3.611 IPCs / +7 IPCs = + 3.889 IPCs
    Killing 1 Fg: 576/1296 = 44.444% +10 IPCs = + 4.444 IPCs
    Fg killed: 0/1296 = 0.00%    -10 IPCs = - 0.00 IPCs
    StB killed: 576/1296 = 44.444%-12 IPCs = - 5.333 IPCs
    StB & Fg killed: 0/1296 = 0.00%    -22 IPCs = - 0.00 IPCs

    D6+2: +7.500 -5.333 = + 2.167 IPCs damage/SBR
    D6+3: +6.5= +8.055 -5.333 = +2.722 IPCs damage/SBR
    2D6: +8.333 -5.333 = + 3 IPCs damage/SBR

    Each bomber can defend @1 against up to 2 Fgs interceptors, whichever the lower: act like an AAA vs 2 planes.
    G40 SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2 Bomber always first target.

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    1/366/64/366/6 = 144/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    1/36    6/616/366/6 = 576/46656 1 StB killed vs 2 Fgs
    1/366/616/361/6 = 96/46656 1 StB killed by AAA vs 2 Fgs
    1/36    6/616/365/6 = 480/46656 no casualty vs 2 Fgs

    10/362/64/366/6 = 480/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    10/36    2/616/366/6 = 1920/46656 1 StB killed vs 2 Fgs
    10/362/616/361/6 = 320/46656 1 StB killed by AAA vs 2 Fgs
    10/36    2/616/365/6 = 1600/46656 no casualty vs 2 Fgs

    10/364/64/366/6 = 960/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    10/36    4/616/366/6 = 3840/46656 1 StB killed vs 1 Fg
    10/364/616/361/6 = 640/46656 1 StB killed by AAA vs 1 Fg
    10/36    4/616/365/6 = 3200/46656 no casualty vs 1 Fg

    25/362/64/366/6 = 1200/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    25/36    2/616/366/6 = 4800/46656 1 StB killed vs 1 Fg
    25/362/616/361/6 = 800/46656 1 StB killed by AAA vs 1 Fg
    25/36    2/616/365/6 = 4000/46656 no casualty vs 1 Fg

    25/364/64/366/6 = 2400/46656 1 Fg and 1 StB killed by Fgs vs no
    25/36    4/616/366/6 = 9600/46656 1 StB killed vs no
    25/364/616/361/6 = 1600/46656 1 StB killed by AAA vs no
    25/36    4/616/365/6 = 8000/46656 no casualty at all

    Results:
    Bombard on IC: 17280/46656= 37.037%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.037 IPCs /6.5 IPCs =+2.407 IPCs / +7 IPCs = +2.593 IPCs
    Killing 2 Fgs: 5616/46656= 12.037%+20 IPCs = + 2.407 IPCs
    Killing 1 Fg: 19440/46656= 41.667% +10 IPCs = + 4.167 IPCs
    Fg killed: 0/46656= 0.00%    -10 IPCs = - 0.00 IPCs
    StB killed: 24192/46656= 51.852%    -12 IPCs = - 6.222 IPCs
    StB & Fg killed: 5184/46656=11.111%*-22 IPCs = - 2.444 IPCs
                                                  / Damage by 1 StB killed by AAA: 3456/46656 = + 7.407% * x =
    *3.5 IPCs = +1.296  /  +1 IPC = +0.074 IPC
    *4.5 IPCs = +1.667  /  +1 IPC = +0.074 IPC
    *5.5 IPCs = +2.037  /  +2 IPCs = +0.148 IPC
    *6.5 IPCs = +2.407  /  +3 IPCs = +0.222 IPC
    *7.0 IPCs = +2.593  /  +3 IPCs = +0.222 IPC

    Regular SBRs   A1 as AAA against up to 2 Fgs                        /  with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +7.870 - 8.667 = -0.797 IPCs damage/SBR      / -0.723 IPCs damage/SBR
    1D6+1: +8.241 - 8.667 = -0.426 IPC damage/SBR    / -0.352 IPCs damage/SBR
    D6+2: +8.611 - 8.667 = - 0.056 IPC damage/SBR  / +0.092 IPC damage/SBR
    1D6+3:+8.981 - 8.667 = +0.314 IPCs damage/SBR  / +0.536 IPCs damage/SBR
    2D6: +9.167- 8.667 = + 0.500 IPCs damage/SBR  / +0.722 IPCs damage/SBR

    G40 HR: 1 StB A1_First Strike_ & 1 Fg A2 doing SBR against 1 intercepting Fgs D2 Bomber always first target.

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    6/366/61/6= 36/1296 1 StB killed by AAA vs 1 Fg
    6/366/65/6 = 180/1296 no casualty vs 1 Fg
    10/362/66/6= 120/1296 1 StB killed by Fg vs 1 Fg
    10/364/61/6= 40/1296 1 StB killed by AAA vs 1 Fg
    10/364/65/6 = 200/1296 no casualty vs 1 Fg

    20/362/66/6 = 240/1296 1StB killed vs no casualty
    20/364/61/6 = 80/1296 1 StB killed by AAA vs no casualty
    20/364/65/6 = 400/1296 no casualty at all

    Results:
    Bombard on IC: 780/1296 = 60.185% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.310 IPCs / +6.5 IPCs= +3.912 IPCs / +7 IPCs = +4.213 IPCs
    Killing 1 Fg: 576/1296 = 44.444% +10 IPCs = + 4.444 IPCs
    Fg killed: 0/1296 = 0.00%    -10 IPCs = - 0.00 IPCs
    StB killed: 516/1296 = 39.815%-12 IPCs = - 4.777 IPCs
    StB & Fg killed: 0/1296 = 0.00%    -22 IPCs = - 0.00 IPCs
                                                  / Damage by 1 StB killed by AAA: 156/1296 = + 12.04% * x =
    *3.5 IPCs = +2.106  /  +1 IPC = +0.120 IPC
    *4.5 IPCs = +2.708  /  +1 IPC = +0.120 IPC
    *5.5 IPCs = +3.310  /  +2 IPCs = +0.241 IPC
    *6.5 IPCs = +3.912  /  +3 IPCs = +0.361 IPC
    *7.0 IPCs = +4.213  /  +3 IPCs = +0.361 IPC

    First target: StB A1 First Strike as AAA         /  with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +6.550 - 4.777 = +1.773 IPCs damage/SBR      / +1.893 IPCs damage/SBR
    1D6+1: +7.152 - 4.777 = +2.375 IPC damage/SBR    / +2.495 IPCs damage/SBR
    D6+2: +7.754 -4.777 = +2.977 IPCs damage/SBR  / +3.218 IPC damage/SBR
    1D6+3:+8.356 -4.777 = +3.579 IPCs damage/SBR   / +3.940 IPCs damage/SBR
    2D6: +8.657 -4.777 = +3.880 IPCs damage/SBR   / +4.241 IPCs damage/SBR

    Each bomber can defend @1 against up to 2 Fgs interceptors, whichever the lower: act like an AAA vs 2 planes.
    G40 SBR HR: 1 StB A1 first strike & 1 Fg A2 doing SBR against 2 intercepting Fgs D2 Bomber always first target.

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    1/366/636/361/6 = 216/46656 1 StB killed by AAA vs 2 Fgs
    1/36    6/636/365/6 = 1080/46656 no casualty vs 2 Fgs

    10/362/612/366/6 = 1440/46656 1 StB killed by Fg vs 2 Fgs
    10/36    2/624/361/6 = 480/46656 1 StB killed by AAA vs 2 Fgs
    10/362/624/36*5/6 = 2400/46656 no casualty vs 2 Fgs

    10/364/612/366/6 = 2880/46656 1 StB killed by Fg vs 1 Fg
    10/36    4/624/361/6 = 960/46656 1 StB killed by AAA vs 1 Fg
    10/364/624/36*5/6 = 4800/46656 no casualty vs 1 Fg

    25/362/64/366/6 = 1200/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    25/36    2/616/366/6 = 4800/46656 1 StB killed vs 1 Fg
    25/362/616/361/6 = 800/46656 1 StB killed by AAA vs 1 Fg
    25/36    2/616/365/6 = 4000/46656 no casualty vs 1 Fg

    25/364/64/366/6 = 2400/46656 1 Fg and 1 StB killed by Fgs vs no
    25/36    4/616/366/6 = 9600/46656 1 StB killed vs no
    25/364/616/361/6 = 1600/46656 1 StB killed by AAA vs no
    25/36    4/616/365/6 = 8000/46656 no casualty at all

    Results:
    Bombard on IC: 20280/46656= 43.467%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.391 IPCs /6.5 IPCs =+2.825 IPCs / +7 IPCs = +3.043 IPCs
    Killing 2 Fgs: 5616/46656= 12.037%+20 IPCs = + 2.407 IPCs
    Killing 1 Fg: 19440/46656= 41.667% +10 IPCs = + 4.167 IPCs
    Fg killed: 0/46656= 0.00%    -10 IPCs = - 0.00 IPCs
    StB killed: 22776/46656= 48.817%    -12 IPCs = -5.858 IPCs
    StB & Fg killed: 3600/46656=7.716%*-22 IPCs = -1.698 IPCs
                                                                   / Damage by 1 StB killed by AAA: 4056/46656 = + 8.693% * x =
    *3.5 IPCs = +1.521  /  +1 IPC = +0.087 IPC
    *4.5 IPCs = +1.956  /  +1 IPC = +0.087 IPC
    *5.5 IPCs = +2.391  /  +2 IPCs = +0.174 IPC
    *6.5 IPCs = +2.825  /  +3 IPCs = +0.261 IPC
    *7.0 IPCs = +3.043  /  +3 IPCs = +0.261 IPC

    First target: StB A1 First Strike as AAA vs up to 2 Fgs)     /  with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +8.095 - 7.556 = +0.539 IPC damage/SBR      / +0.626 IPC damage/SBR
    1D6+1: +8.530 - 7.556 = +0.974 IPC damage/SBR    / +1.061 IPCs damage/SBR
    D6+2: 8.965 - 7.556 = +1.409 IPC damage/SBR  / +1.583 IPCs damage/SBR
    1D6+3:+9.399 - 7.556 = +1.843 IPCs damage/SBR   / +2.104 IPCs damage/SBR
    2D6: +9.617- 7.556 = +2.061 IPCs damage/SBR   / +2.322 IPCs damage/SBR

    1942.2 SBR HR: 2 StBs A1 first strike damage: D6+2/ D6+3 / 2D6 doing SBR against 1 intercepting Fgs D2
    With limitation rule: in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/66/61/36 = 6/1296 2 StBs killed by AAA vs 1 Fg
    1/66/610/36 = 60/1296 1 StB killed by AAA vs 1 Fg
    1/66/625/36 = 150/1296 no casualty vs 1 Fg

    5/62/66/36 = 60/1296 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    5/62/630/36 = 300/1296 1 StBs killed by Fg vs no casualty
    5/64/61/36 = 20/1296 2 StBs killed by AAA vs no casualty
    5/64/610/36 = 200/1296 1 StB killed by AAA vs no casualty
    5/64/625/36 = 500/1296 no casualty at all

    Results:
    2x Bombard on IC: 650/1296= 50.154% * ((6+16) IPCs)/2= +11 IPCs) = + 5.517 IPCs / 13 IPCs =+6.520 IPCs / +14 IPCs = +7.022 IPCs
    1x Bombard on IC: 560/1296= 43.210% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.377 IPCs / 6.5 IPCs = +2.809 IPCs / +7 IPCs = +3.025 IPCs
    Killing 1 Fg: 216/1296= 16.667% +10 IPCs = +1.667 IPCs
    2 StBs killed: 86/1296= 6.636%    -24 IPCs = -1.593 IPCs
    1 StB killed: 560/1296= 43.210%*-12 IPCs = -5.185 IPCs
             / Damage by 1 StB killed by AAA: 260/1296 = + 20.062% * 1x = /    2 StBs killed by AAA: 26/1296 = + 2.006% * 2x =
    *+7/+3.5 IPCs = +3.511  /+1.512 /  +1 IPC = +0.201  / +0.040 IPC
    *+9/+4.5 IPCs = +4.514  / +1.944 / +1 IPC = +0.201 / +0.040 IPC
    *+11/+5.5 IPCs = +5.517 / +2.377  /  +2 IPCs = +0.401  / +0.080 IPC
    *+13/+6.5 IPCs = +6.520  / +2.809 /+3 IPCs = +0.602 / +0.120 IPC
    *+14/+7.0 IPCs = +7.022 / +3.025   /  +3 IPCs = +0.602 / +0.120 IPC

    First target: StB A1 first strike, as AAA up to 2 Fgs      /  with special HR bonus damage to IC when 1 or 2 StBs are killed by IC’s AAA
    1D6: +6.690 - 6.778 = -0.088 IPCs damage/SBR       / +0.153 IPCs damage/SBR
    1D6+1: +8.125 - 6.778 = +1.347 IPCs damage/SBR    / +1.588 IPCs damage/SBR
    1D6+2: +9.561 - 6.778 = +2.783 IPCs damage/SBR   / +3.264 IPCs damage/SBR
    1D6+3: +10.996 - 6.778 = +4.218 IPCs damage/SBR  / +4.940 IPCs damage/SBR
    2D6: +11.714 - 6.778 = +4.936 IPCs damage/SBR   / +5.658 IPCs damage/SBR

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR
    Bomber A1 Damage: 1D6+2

    Fighter A2 D3

    @Baron:

    Thanks.
    I wouldn’t have think about it without ShadowHAwk commentaries on the special Fighter unit which can directly hit other planes.

    I basically used the OOB reverse value of Fg (A3 D4) and TcB (A4 D3) and I subtracted 1 Off/Def point.

    An incentive was mandatory to risk more valuable planes into battle with grounds and aircrafts.

    Also, with a high defense @3 for Fg, I believe it is necessary to have plenty rooms for air Fodder, hence the 3-planes Carrier and cheaper cost.

    Also, it is a really big deterrent against SBR, that’s why Fg and TcB gets A2 when doing SBR escort.
    I kept a low @1 for bomber, since their main function is to bombard ICs with D6+2 each.
    The lower 10 IPCs StB cost can somehow slightly compensate but not entirely for riskier SBR raid.

    For 6 StB you pay 60 IPCs instead of 72 IPCs.

    On average, you lost 1/6 StB and make 5/6 D6+2 damage (5.5 IPCs).
    5.5 x 5 = 27.5 IPCs minus 12 IPCs = + 15.5 IPCs net damage for 72 IPCs investment: 21.5% return on investment after 6 SBRs,
    5.5 x 5 = 27.5 IPCs minus 10 IPCs = + 17.5 IPCs net damage for 60 IPCs investment. 29.2% return on investment after 6 SBRs.

    However, this doesn’t consider the higher risk of even a single interceptor @3.

    Here is the summary for this very special House Rule  :

    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2  / damage 2D6
    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run                      Sum: + 5.833 - 2 = +3.833 IPCs damage/SBR run

    StB at 10 IPCs / Fg at 8 IPCs:
    Sum: + 4.583 - 1.667 = +2.916 IPCs damage/SBR run                Sum: + 5.833 - 1.667 = +4.166 IPCs damage/SBR run

    G40 SBR HRules :1 StB A1 vs 1 Fg D3
    Sum: + 4.213 - 7 = - 2.787 IPC. damage/SBR run                                  Sum: + 4.908 - 7 = - 2.092 IPC damage/SBR run

    StB at 10 IPCs / Fg at 8 IPCs:
    Sum: + 3.879 - 5.833 = - 1.954 IPC damage/SBR run                              Sum: + 4.574 - 5.833 = - 1.259 IPC damage/SBR run

    G40 SBR HR: **1 StB A1 doing SBR against 2 intercepting Fgs D3
    Sum: +2.813- 9.5 = - 6.687 IPCs damage/SBR run                                  Sum: +3.125 - 9.5 = - 6.375 IPCs damage/SBR run

    StB at 10 IPCs / Fg at 8 IPCs:
    Sum: +2.479 - 7.917 = - 5.438 IPCs damage/SBR run                              Sum: +2.791 -7.917 = - 5.126 IPCs damage/SBR run

    G40 SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D3
    Sum: + 8.438 - 12 = - 3.562 IPC damage/SBR run                                    Sum: + 9.375 - 12 = - 2.625 IPC damage/SBR run

    StB at 10 IPCs / Fg at 8 IPCs:
    Sum: + 7.438 - 9.75 = - 2.312 IPC damage/SBR run                                  Sum: + 8.375 - 9.75 = - 1.375 IPC damage/SBR run

    G40 SBR HR: 2 StBs A1 doing SBR against 2 intercepting Fgs D3
    Sum: +7.918 - 14 = - 6.082 IPCs damage/SBR run                                        Sum: +9.168 - 14 = - 4.832 IPCs damage/SBR run

    StB at 10 IPCs / Fg at 8 IPCs:
    Sum: +6.531 - 11.667 = - 5.136 IPCs damage/SBR run                                    Sum: +8.5 - 11.667 = - 3.167 IPCs damage/SBR run

    G40 HR: 1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D3
    Sum: + 9.027 - 7 = + 2.027 IPCs damage/SBR run                                        Sum: + 10.277 - 7 = + 3.277 IPCs damage/SBR run

    StB at 10 IPCs / Fg at 8 IPCs:
    Sum: + 8.139 - 5.666 = + 2.473 IPCs damage/SBR run                                    Sum: + 9.389 - 5.666 = + 3.723 IPCs damage/SBR run

    G40 SBR HR: 2 StBs A1 doing SBR against 1 intercepting Fgs D3
    Sum: +9.931 - 9 = + 0.931 IPCs damage/SBR run                                    Sum: +11.806 - 9 = + 2.806 IPCs damage/SBR run

    StB at 10 IPCs / Fg at 8 IPCs:
    Sum: +9.319 - 7.5 = + 1.819 IPCs damage/SBR run                                  Sum: +11.194 - 7.5 = + 3.694 IPCs damage/SBR run

    Here is all the maths calculation on which was based the above summary :

    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2  / damage 2D6
    5/6 StB survived * 5.5 IPCs = 4.583 IPCs                                  5/6 StB survived * 7 IPCs = + 5.833 IPCs
    1/6 StB killed *12 IPCs = -2 IPCs

    Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run                Sum: + 5.833 - 2 = +3.833 IPCs damage/SBR run

    1/6 StB killed *10 IPCs = -1.667 IPCs

    Sum: + 4.583 - 1.667 = +2.916 IPCs damage/SBR run          Sum: + 5.833 - 1.667 = +4.166 IPCs damage/SBR run

    G40 SBR HRules :1 StB A1 regular vs 1 Fg D3

    StB roll /Fg roll / AAA roll = odds casualties

    1/63/66/6= 18/216 1 StB killed by AAA vs 1 Fg killed
    1/63/61/6= 3/216 1 StB killed by AAA vs 1 Fg killed
    1/63/65/6= 15/216 no casualty vs 1 Fg killed

    5/63/66/6= 90/216 StB killed by Fg
    5/63/61/6= 15/216 StB killed by AAA
    5/63/65/6= 75/216 both survived

    Results:
    Bombard on IC 100/216= 46.296% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs        / +7 IPCs = +3.241 IPCs
    killing Fg 36/216= 16.667% *+10 IPC = + 1.667 IPC
    StB killed 126/216= 58.333% *-12 IPCs = - 7 IPCs
    Sum: + 4.213 - 7 = - 2.787 IPC. damage/SBR run                              Sum: + 4.908 - 7 = - 2.092 IPC damage/SBR run

    killing Fg 36/216= 16.667% *+8 IPC = + 1.333 IPC
    StB killed 126/216= 58.333% *-10 IPCs = - 5.833 IPCs
    Sum: + 3.879 - 5.833 = - 1.954 IPC damage/SBR run                              Sum: + 4.574 - 5.833 = - 1.259 IPC damage/SBR run

    G40 SBR HR: 1 StB A1 regular doing SBR against 2 intercepting Fgs D3

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/627/366/6 = 162/1296 1 StB killed by Fg vs 1 Fg
    1/69/361/6= 9/1296 1 StB killed by AAA vs 1 Fg
    1/69/365/6 = 45/1296 no casualty vs 1 Fg

    5/627/366/6 = 810/1296 1 StB killed by Fg vs no casualty
    5/69/361/6 = 45/1296 1 StB killed by AAA vs no casualty
    5/69/365/6 = 225/1296 no casualty at all

    Results:
    Bombard on IC: 270/1296= 20.833% * ((3+8) IPCs)/2= +5.5 IPCs) = +1.146 IPCs                    / +7 IPCs = +1.458 IPCs
    Killing 1 Fg: 216/1296= 16.667% +10 IPCs = + 1.667 IPCs
    1 StB killed: 1026/1296= 79.167%    -12 IPCs = - 9.5 IPCs

    Sum: +2.813- 9.5 = - 6.687 IPCs damage/SBR run                                  Sum: +3.125 - 9.5 = - 6.375 IPCs damage/SBR run

    Killing 1 Fg: 216/1296= 16.667% +8 IPCs = + 1.333 IPCs
    1 StB killed: 1026/1296= 79.167%    -10 IPCs = - 7.917 IPCs

    Sum: +2.479 - 7.917 = - 5.438 IPCs damage/SBR run                                  Sum: +2.791 -7.917 = - 5.126 IPCs damage/SBR run

    G40 SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D3

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    2/369/366/6 = 108/7776 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    2/3618/361/6 = 36/7776 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    2/3618/365/6 = 180/7776 1 Fg killed vs 2 Fgs
    2/369/361/6 = 18/7776 1 StB killed by AAA vs 2 Fgs
    2/369/365/6 = 90/7776 no casualty vs 2 Fgs

    14/369/366/6 = 756/7776 1 Fg and 1 StB killed by Fgs vs 1 Fg
    14/3618/361/6 = 252/7776 1 Fg and 1 StB killed by AAA vs 1 Fg
    14/3618/365/6 = 1260/7776 1 Fg killed vs 1 Fg
    14/369/361/6= 126/7776 1 StB killed by AAA vs 1 Fg
    14/369/365/6 = 630/7776 no casualty vs 1 Fg

    20/369/366/6 = 1080/7776 1 Fg and 1 StB killed by Fg vs no casualty
    20/3618/361/6 = 360/7776 1 Fg and 1 StB killed by AAA vs no casualty
    20/3618/365/6 = 1800/7776 1 Fg killed vs no casualty
    20/369/361/6 = 180/7776 1 StB killed by AAA vs no casualty
    20/369/365/6 = 900/7776 no casualty at all

    Results:
    Bombard on IC: 4860/7776= 62.5%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.438 IPCs            / +7 IPCs = +4.375 IPCs
    Killing 2 Fgs: 432/7776= 5.556%+20 IPCs = + 1.111 IPC
    Killing 1 Fg: 3024/7776= 38.889% +10 IPCs = + 3.889 IPCs
    Fg killed: 3240/7776= 41.667%    -10 IPCs = - 4.167 IPCs
    StB killed: 324/7776= 4.167%    -12 IPCs = - 0.5 IPCs
    StB & Fg killed: 2592/7776=33.333%*-22 IPCs = - 7.333 IPCs

    Sum: + 8.438 - 12 = - 3.562 IPC damage/SBR run                                  Sum: + 9.375 - 12 = - 2.625 IPC damage/SBR run

    Killing 2 Fgs: 432/7776= 5.556%+16 IPCs = + 0.889 IPC
    Killing 1 Fg: 3024/7776= 38.889% +8 IPCs = + 3.111 IPCs
    Fg killed: 3240/7776= 41.667%    -8 IPCs* = - 3.333 IPCs
    StB killed: 324/7776= 4.167%-10 IPCs = - 0.417 IPCs
    StB & Fg killed: 2592/7776=33.333%    -18 IPCs = - 6 IPCs

    Sum: + 7.438 - 9.75 = - 2.312 IPC damage/SBR run                                  Sum: + 8.375 - 9.75 = - 1.375 IPC damage/SBR run

    G40 SBR HR: 2 StBs A1 regular doing SBR against 2 intercepting Fgs D3

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/369/3636/36 = 324/46656 2 StBs killed by Fg vs 2 Fgs
    1/3618/366/36 = 108/46656 1 StB killed by Fg and 1 StB killed by AAA vs 2 Fgs
    1/3618/3630/36 = 540/46656 1 StB killed by Fg vs 2 Fgs
    1/369/361/36 = 9/46656 2 StBs killed by AAA vs 2 Fgs
    1/369/3610/36 = 90/46656 1 StB killed by AAA vs 2 Fgs
    1/369/3625/36 = 225/46656 no casualty vs 2 Fgs

    10/369/3636/36 = 3240/46656 2 StBs killed by Fg vs 1 Fg
    10/3618/366/36 = 1080/46656 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    10/3618/3630/36 = 5400/46656 1 StB killed by Fg vs 1 Fg
    10/369/361/36= 90/46656 2 StBs killed by AAA vs 1 Fg
    10/369/3610/36= 900/46656 1 StB killed by AAA vs 1 Fg
    10/369/3625/36 = 2250/46656 no casualty vs 1 Fg

    25/369/3636/36 = 8100/46656 2 StBs killed by Fg vs no casualty
    25/3618/366/36 = 2700/46656 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    25/3618/3630/36 = 13500/46656 1 StBs killed by Fg vs no casualty
    25/369/361/36 = 225/46656 2 StBs killed by AAA vs no casualty
    25/369/3610/36 = 2250/46656 1 StB killed by AAA vs no casualty
    25/369/3625/36 = 5625/46656 no casualty at all

    Results:
    2x Bombard on IC: 8100/46656= 17.361% * ((6+16) IPCs)/2= +11 IPCs) = + 1.910 IPCs                    / +14 IPCs= + 2.431 IPCs
    1x Bombard on IC: 22680/46656= 48.611% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.674 IPCs                      / +7 IPCs = + 3.403 IPCs
    Killing 2 Fgs: 1296/46656= 2.778%+20 IPCs = + 0.556 IPC
    Killing 1 Fg: 12960/46656= 27.778% +10 IPCs = + 2.778 IPCs
    2 StBs killed: 15876/46656= 34.028%    -24 IPCs = - 8.167 IPCs
    1 StB killed: 22680/46656= 48.611%    -12 IPCs = - 5.833 IPCs

    Sum: +7.918 - 14 = - 6.082 IPCs damage/SBR run                                    Sum: +9.168 - 14 = - 4.832 IPCs damage/SBR run

    Killing 2 Fgs: 1296/46656= 2.778%+16 IPCs = + 0.444 IPC
    Killing 1 Fg: 12960/46656= 27.778% +8 IPCs = + 2.222 IPCs
    2 StBs killed: 15876/46656= 34.028%    -20 IPCs = - 6.806 IPCs
    1 StB killed: 22680/46656= 48.611%    -10 IPCs = - 4.861 IPCs

    Sum: +6.531 - 11.667 = - 5.136 IPCs damage/SBR run                                    Sum: +8.5 - 11.667 = - 3.167 IPCs damage/SBR run

    G40 HR: 1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D3

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    16/363/61/6= 48/1296 1 Fg killed and 1 StB killed by AAA vs 1 Fg
    16/363/65/6= 240/1296 1 Fg killed vs 1 Fg
    16/363/61/6= 48/1296 1 StB killed by AAA vs 1 Fg
    16/363/65/6 = 240/1296 no casualty vs 1 Fg

    20/363/61/6 = 60/1296 1 Fg and 1 StB killed by AAA vs no casualty
    20/363/65/6 = 300/1296 1 Fg killed vs no casualty
    20/363/61/6 = 60/1296 1 StB killed by AAA vs no casualty
    20/363/65/6 = 300/1296 no casualty at all

    Results:
    Bombard on IC: 1080/1296 = 83.333% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs                              / +7 IPCs = + 5.833 IPCs
    Killing 1 Fg: 576/1296 = 44.444% +10 IPCs = + 4.444 IPCs
    Fg killed: 540/1296 = 41.667%    -10 IPCs = - 4.167 IPCs
    StB killed: 108/1296 = 8.333%-12 IPCs = - 1 IPC
    StB & Fg killed: 108/1296 = 8.333%    -22 IPCs = - 1.833 IPCs

    Sum: + 9.027 - 7 = + 2.027 IPCs damage/SBR run                                    Sum: + 10.277 - 7 = + 3.277 IPCs damage/SBR run

    Killing 1 Fg: 576/1296 = 44.444% +8 IPCs = + 3.556 IPCs
    Fg killed: 540/1296 = 41.667%    -8 IPCs = - 3.333 IPCs
    StB killed: 108/1296 = 8.333%-10 IPCs = - 0.833 IPC
    StB & Fg killed: 108/1296 = 8.333%    -18 IPCs = - 1.5 IPCs

    Sum: + 8.139 - 5.666 = + 2.473 IPCs damage/SBR run                                    Sum: + 9.389 - 5.666 = + 3.723 IPCs damage/SBR run

    G40 SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D3

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/363/66/36 = 198/7776 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    11/363/630/36 = 990/7776 1 StB killed by Fg vs 1 Fg
    11/363/61/36 = 33/7776 2 StBs killed by AAA vs 1 Fg
    11/363/610/36 = 330/7776 1 StB killed by AAA vs 1 Fg
    11/363/625/36 = 825/7776 no casualty vs 1 Fg

    25/363/66/36 = 450/7776 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    25/363/630/36 = 2250/7776 1 StB killed by Fg vs no casualty
    25/363/61/36 = 75/7776 2 StBs killed by AAA vs no casualty
    25/363/610/36 = 750/7776 1 StB killed by AAA vs no casualty
    25/363/625/36 = 1875/7776 no casualty at all

    Results:
    2x Bombard on IC: 2700/7776= 34.722% * ((6+16) IPCs)/2= +11 IPCs) = + 3.819 IPCs                                / +14 IPCs= + 4.861 IPCs
    1x Bombard on IC: 4320/7776= 55.556% * ((3+8) IPCs)/2= +5.5 IPCs) = + 3.056 IPCs                                  / +7 IPCs = + 3.889 IPCs
    Killing 1 Fg: 2376/7776= 30.556% +10 IPCs = + 3.056 IPCs
    2 StBs killed: 756/7776= 9.722%    -24 IPCs = - 2.333 IPCs
    1 StB killed: 4320/7776= 55.556%*-12 IPCs = - 6.667 IPCs

    Sum: +9.931 - 9 = + 0.931 IPCs damage/SBR run                                  Sum: +11.806 - 9 = + 2.806 IPCs damage/SBR run

    Killing 1 Fg: 2376/7776= 30.556% +8 IPCs = + 2.444 IPCs
    2 StBs killed: 756/7776= 9.722%    -20 IPCs = - 1.944 IPCs
    1 StB killed: 4320/7776= 55.556%*-10 IPCs = - 5.556 IPCs

    Sum: +9.319 - 7.5 = + 1.819 IPCs damage/SBR run                                  Sum: +11.194 - 7.5 = + 3.694 IPCs damage/SBR run**

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR
    Bomber A1 Damage: 2D6

    Fighter A2 D3

    0
  • baron MünchhausenB
    '17 '16

    I found a useful analysis tool to compare average results of various SBR combat values and cost per unit:
    Break even point and ratio:
    In Strategic Bombing Raid, it is the number of attacking aircraft unit needed compared to intercepting Fg to get even odds on both sides (+0.00 IPC damage/SBR).
    Break even ratio is a fraction number over a single intercepting fighter to reach an even odds of winning or loosing IPCs in a single air raid compared to the defender odds of inflicting damage. A ratio above 1 means that you need more than only 1 Bomber against 1 intercepting Fighter to reach a profitable threshold in SBR; while a ratio below 1 means that making a raid with at least 1 bomber against 1 Fighter interceptor is always advantageous for the attacker.

    Offensive over defensive cost ratio for same combat values : it is a useful measure to evaluate the comparative higher cost of a given attack value over the same defensive value.
    For instance, Tank gives a 1 offensive/defensive cost ratio because attack 3 and defense 3 is the same cost at 6 IPCs.
    3 air attack over 3 ground defense cost gives Fg A3 C10 vs Tank D3 C6 = 1.667 off/defense IPC ratio.
    4 air attack over 4 air defense cost gives StB A4 C12 vs Fg D4 C10 = 1.200 off/def IPC ratio.
    2 artillery ground attack over 2 Infantry ground defense gives Art A2 C4 vs Inf D2 C3 = 1.333 off/def cost ratio.
    2+2 ground attack over 2+2 ground defense gives Inf+Art A2+A2 C7 vs 2 Inf D2+D2 C6 = 1.167 off/def ratio.
    So, this offense/defense cost ratio for the same value goes from 1 to up to 1.667 in regular combat.

    Here is a very comprehensive table of various SBR values from stronger to weaker SBR from attacker POV:

    G40.2 SBR OOB
    Bomber A1
    Damage: 1D6+2
    Cost 12

    Fighter A1 D1
    Cost 10

    1 StB A1 doing SBR against 1 Fg D1
    OOB G40 D6+2: + 5.486 - 3.667 = +1.819 IPC damage/SBR
    StB A1 doing SBR against 2 Fgs D1
    G40 D6+2: +4.85 - 5.056 = -0.206 IPCs damage/SBR9= -1.854
    Net: -0.035
    Break even point: **10 StBs A1 C12 D6+2 vs 19 Fgs D1 C10
    Break even ratio: 0.526 StB/Fg
    0.526    12=
    6.32 IPCs/10 IPCs = 0.632 off/def cost ratio**

    G40.2 SBR HR
    Bomber A0
    Damage: 1D6+3
    Cost 12

    Fighter A1 D1
    Cost 10

    1 StB A0 damage D6+3 doing SBR against 1 Fg D1
    D6+3: +4.514 - 3.667 = +0.847 damage/SBR26= +22.022 26vs26
    1 StB Att 0 D6+3 doing SBR against 2 Fgs D1
    D6+3: +3.762 -5.056 = -1.294 IPCs damage/SBR    17= -21.998 17 vs 34
    Net: +0.024
    Break even point: 43 StB A0 D6+3 vs 60 Fg D1
    43/60= 0.717 StB/Fg break even ratio
    8.6 IPCs/10 IPCs = 0.86 offense/defense ratio

    G40.2 SBR HR
    Bomber A1 First Strike as AAA against up to 2 Fgs which ever the lower,
    Damage: 1D6+2
    Cost 12

    Fighter A2 D2
    Cost 10

    A1fs as AAA vs up to 2, D6+2 vs D2
    1 vs 1  0.19910= +1.990
    1 vs 2  -0.662    3= -1.986
    Net: +0.004
    Break even point: 13 StBs A1fs C12 D6+2 vs 16 Fgs D2 C10
    0.8125 StB/Fg break even ratio
    9.75 IPCs/10 IPCs = 0.975 off/def IPC ratio

    Young Grasshopper HR
    G40.2 SBR HR
    Bomber A0 but 1 Attack @1 per bomber group
    Damage: 1D6+2
    Cost 12

    Fighter A1 D1
    Cost 10

    StB 1A1+xA0 D6+2 vs Fg D1
    2 StBs A1+A0 against 3 Fgs D1
    A1 vs 1D1: + 5.486 - 3.667 = + 1.819 IPCs
    A0 vs 2D1: + 3.183 - 5.056 = - 1.873 IPC
    OR
    A1 vs 2D1: + 4.850 - 5.056 = - 0.206 IPCs
    A0 vs 1D1: + 3.819 - 3.667 = + 0.152 IPC
    Sum: + 8.669 - 8.723 = - 0.054 IPC damage/SBR
    Net: -0.054
    Break even point: 2 StBs A1/A0 C12 D6+2 vs 3 Fgs D1 C10
    0.667 StB/Fg break even ratio with lower number of units
    8 IPCs/10 IPCs = 0.8 off/def ratio

    A0 vs 1D1: + 3.819 - 3.667 = + 0.152 IPC25= +3.800
    A0 vs 2D1: + 3.183 - 5.056 = - 1.873 IPC    2= -3.746 + -0.054= -3.800
    Net: +0.00
    Break even point: 29 StBs A1 A0 C12 D6+2 vs 32 Fgs D1 C10
    0.9063 StB/Fg  break even ratio with higher number of units
    10.875 IPCs/10 IPCs = 1.09 offense/defense ratio

    G40.2 or 1942.2 SBR HR
    Bomber A0
    Damage: 1D6+2
    Cost 12

    Fighter A1 D1
    Cost 10
    StB A0 C12 D6+2 vs Fg D1
    1A0 vs 1D1: + 3.819 - 3.667 = + 0.152 IPC25= +3.800
    1A0 vs 2D1: + 3.183 - 5.056 = - 1.873 IPC    2= -3.746
    Net: +0.054
    Break even point: 27 StBs A0 C12 D6+2 vs 29 Fgs D1 C10
    0.931 StB/Fg break even ratio
    11.17 IPCs/10 IPCs = 1.12 offense/defense cost ratio
    __

    1942.2 OOB with D6+2 G40.2 damage, SBR HR
    Bomber A1 First Strike,
    Damage: 1D6+2
    Cost 12

    Fighter A1 First Strike D2
    Cost 10

    1942.2 A1fs D6+2 vs Fg D2
    1 vs 1: +4.977 - 4.778 = +0.199 IPC damage/SBR50=+9.950
    1 vs 2: +3.874 - 7.185 = -3.311 IPCs damage/SBR    3= -9.933
    Net: +0.017
    Break even point: 53 StBs A1fs C12 D6+2 vs 56 Fgs D2 C10
    0.946 StB/Fg break even ratio
    11.36 IPCs/10 IPCs = 1.14 offense/defense cost ratio

    1942.2 Triple A SBR
    Bomber A1
    Damage: 1D6
    Cost 12

    Fighter A1 D1
    Cost 10

    1 StB A1 D6 against 1 Fg D1
    Triple A 1942.2 : +3.69 - 3.667 = +0.023 IPC damage/SBR*132= +3.036
    StB A1 D6 doing SBR against 2 Fg D1
    Triple A 1942.2 : +2.025 - 5.056 = -3.031 IPCs damage/SBR
    Net: -0.005
    Break even point: 132 StBs A1 C12 D6 vs 133 Fgs D1 C10
    132/133= 0.9925 StB/Fg break even ratio
    11.91 IPCs/10 IPCs = 1.191 offense/defense ratio

    Regular Kid’s Balance Mode
    G40.2 SBR HR
    Bomber A1
    Damage: 1D6+2
    Cost 12

    Fighter A2 D2
    Cost 10

    2 StBs A1 against 1 Fgs D2
    1D6+2: +10.639 - 7.334 = + 3.304 IPCs damage/SBR12=+39.648 24 vs 12
    1 StB A1 vs 1 Fg D2
    1D6+2: + 4.723 - 5.333 = - 0.61 IPC dam/SBR    65= -39.650 65 vs 65
    Net: -0.002
    Break even point: 89 StBs A1 C12 D6+2 vs 77 Fgs D2 C10
    1.156 StB/Fg break even ratio
    13.87 IPCs/10 IPCs = 1.39 offense/defense IPC ratio

    G40.2 or 1942.2 SBR HR
    Bomber A1 as AAA against up to 2 Fgs which ever the lower,
    Damage: 1D6+2
    Cost 12

    Fighter A2 D2
    Cost 10

    StB A1 as AAA up to 2 Fg, D6+2 vs 1 Fg D2
    2 vs 1  +1.9724= +7.888
    1 vs 1  -0.61    13= -7.930
    Net: -0.042
    Break even point: 21 StBs A1 C12 D6+2 vs 17 Fgs D2 C10
    21/17= 1.235 StB/Fg break even ratio
    14.824 IPCs/10 IPCs = 1.48 offense/defense cost ratio
    __

    1942.2 OOB SBR with D6 damage
    Bomber A1 First Strike
    Damage: 1D6
    Cost 12

    Fighter A1 First Strike D2
    Cost 10

    2 StBs A1fs doing SBR against 1 Fg D2
    OOB 1942.2 D6: +8.214 - 6.315 = +1.899 IPCs dam/SBR10= +18.99
    1 StB A1fs against 1 Fg D2
    OOB 1942.2 D6: +3.8 - 4.8 = -1 IPC damage/SBR    19= -19
    Net: -0.010
    Break even point: 39 StBs A1fs C12 D6 vs 29 Fgs D2 C10
    39/29= 1.345 StB/Fg break even ratio
    16.1 IPCs/10 IPCs = 1.61 offense/defense cost ratio

    __
    Young Grasshopper HR
    G40.2 SBR HR mostly implied from D6 Strat Bombers not starting from Air Base
    Bomber A0 + 1A1 for StBs group
    Damage: 1D6
    Cost 12

    Fighter A1 D1
    Cost 10

    3 Strategic Bombers A0 D6 doing SBR against 1 Fg D1
    D6 3 vs 1: + 8.264 -7.666= +0.598 IPCs
    2 Strategic Bombers A0 doing SBR against 1 Fg D1
    D6 2 vs 1: + 5.347 -5.666= -0.319 IPCs2= -0.638
    Net: -0.040
    7 StB A0 D6 vs 3 Fg D1
    And
    1 StB A1 doing SBR against 1 Fg D1
    D6: +3.69 - 3.667 = +0.023 IPC damage/SBR    1
    Net: -0.017
    Break even point: 8 StBs A0 D6 vs 4 Fg D1
    Break even ratio: 8/4= 2.0 StBs/Fg
    24 IPCs/10 IPCs = 2.4 offense/defense cost ratio

    G40.2 SBR HR
    Bomber A0
    Damage: 1D6
    Cost 12

    Fighter A1 D1
    Cost 10

    3 StBs A0 Damage D6 doing SBR against 1 Fg D1
    D6, 3 vs 1: + 8.264 -7.666= +0.598 IPCs
    2 StBs A0 doing SBR against 1 Fg D1
    D6, 2 vs 1: + 5.347 -5.666= -0.319 IPCs2= -0.638
    Net: -0.040
    Break even point: **7 StB A0 D6 vs 3 Fg D1
    7/6= 2.333 StB/Fg break even ratio
    2.333    12=
    28 IPCs/10 IPCs = 2.8 offense/defense IPCs ratio**

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR
    Bomber A1 Damage: 1D6+2
    Cost 10

    Fighter A2 D3
    Cost 8

    0
  • baron MünchhausenB
    '17 '16

    G40.2 SBR HR
    Bomber A1 Damage: 2D6
    Cost 10

    Fighter A2 D3
    Cost 8

    0
  • baron MünchhausenB
    '17 '16

    1942.2 SBR HR
    Bomber A1 Damage: 1D6+2
    Cost 10

    Fighter A1 First Strike D2
    Cost 8
    Combined Arms: 1 Fighter gives First Strike to all attacking Bombers.

    0
  • baron MünchhausenB
    '17 '16

    1942.2 SBR HR
    Bomber A1 Damage: 1D6+2
    Cost 10

    Fighter A2 D2
    Cost 6

    0
  • baron MünchhausenB
    '17 '16

    SBR HR for G40 or 1942.2

    Strategic Bomber in air-to-air combat SBR:
    Attack 1
    Bombard IC or AB or NB damage: 1D6 to 2D6
    Cost 12

    Fighter in air-to-air combat SBR:
    Attack 2
    Defend 2
    Cost 6
    IC’s AAA: @1 against each Strategic Bomber
    Naval Base or Air Base: @1 against each Strategic Bomber or Tactical bomber

    Global 1940 SBR HRules SBR damage 1D6+2 / Interceptor Def @2

    SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2   / HR SBR = Damage 2D6 (avg 7 IPCs)
    1D6+2: + 4.583 - 2 = +2.583 IPCs damage/SBR run
    2D6: + 5.833 - 2 = +3.833 IPCs damage/SBR run

    SBR HRules :1 StB A1 regular vs 1 Fg D2 Cost 6
    1D6+2: +4.056 - 5.333 = -1.277 IPC damage/SBR
    2D6: +4.889 - 5.333 = -0.444 IPC damage/SBR

    SBR HR: 1 StB A1 regular doing SBR against 2 intercepting Fgs D2 Cost 6
    1D6+2: +3.037 - 7.556 = -4.519 IPCs damage/SBR
    2D6: +3.593 - 7.556 = -3.963 IPCs damage/SBR

    SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 3 intercepting Fgs D2 cost 6
    1D6+2: +6.395 - 8.815 = -2.420 IPCs damage/SBR
    2D6: +7.321 - 8.815 = -1.494 IPCs damage/SBR

    SBR HR: 1 StB A1 & 1 Fg A2 C6 doing SBR against 2 intercepting Fgs D2 Cost 6
    1D6+2: +6.074 - 6.444 = -0.370 IPC damage/SBR
    2D6: +7.185 - 6.444 = +0.741 IPCs damage/SBR

    SBR HR: 2 StBs A1 regular doing SBR against 2 intercepting Fgs D2 Cost 6
    1D6+2: +5.395 - 10.667 = -5.272 IPCs damage/SBR
    2D6: +6.321 - 10.667 = -4.346 IPC damage/SBR

    SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2 Cost 6
    1D6+2: +7.250 - 4.000 = +3.250 IPCs damage/SBR  / +3.583 IPCs damage/SBR
    1D6+3: +8.084 - 4.000 = +4.084 IPCs damage/SBR  / +4.584 IPCs damage/SBR
    2D6: +8.500 - 4.000 = +4.500 IPCs damage/SBR  / +5.000 IPCs damage/SBR

    SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D2 Cost 6
    1D6+2: +9.439 - 7.334 = +2.105 IPCs damage/SBR
    2D6 +11.522 - 7.334 = +4.188 IPCs damage/SBR

    SBR HRules : 2 StBs doing SBR without interceptor
    Regular SBRs  /  with special HR bonus damage to IC when 1 or 2 STBs are killed by IC’s AAA
    1D6 (avg 3.5 IPCs): +5.834 - 4 = +1.834 IPCs damage/SBR / +2.168 IPCs damage/SBR
    1D6+1 (avg 4.5 IPCs): +7.500 - 4 = +3.500 IPCs damage/SBR / +3.834 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 4 = +5.166 IPCs damage/SBR / +5.832 IPCs damage/SBR
    1D6+3 (avg 6.5 IPCs): +10.834 - 4 = +6.834 IPCs damage/SBR / +7.834 IPCs damage/SBR
    2D6 (avg 7 IPCs): +11.666 - 4 = +7.666 IPCs damage/SBR  / +8.666 IPCs damage/SBR

    Here is complete maths evaluation to compare all damage factors:

    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2  / damage 2D6/  with special HR bonus damage to IC when StB is killed by IC’s AAA
    5/6 StB survived *3.5 IPCs = +2.917 IPCs    /+1 IPC = +0.167 IPC
    5/6 StB survived *4.5 IPCs = +3.75 IPCs      /+1 IPC = +0.167 IPC
    5/6 StB survived *5.5 IPCs = +4.583 IPCs   /+2 IPCs = +0.333 IPC
    5/6 StB survived *6.5 IPCs = +5.417 IPCs   /+3 IPCs = +0.500 IPC
    5/6 StB survived *7.0 IPCs = + 5.833 IPCs     /+3 IPCs = +0.500 IPC
    1/6 StB killed *12 IPCs = -2 IPCs

    Regular SBRs  /  with special HR bonus damage to IC when StB is killed by IC’s AAA
    1D6 (avg 3.5 IPCs): +2.917 - 2 = +0.917 IPCs damage/SBR     / +1.084 IPCs damage/SBR
    1D6+1 (avg 4.5 IPCs): +3.750 - 2 = +1.750 IPCs damage/SBR   / +1.917 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +4.583 - 2 = +2.583 IPCs damage/SBR  / +2.916 IPCs damage/SBR
    1D6+3 (avg 6.5 IPCs): +5.417 - 2 = +3.417 IPCs damage/SBR  / +3.917 IPCs damage/SBR
    2D6 (avg 7 IPCs): +5.833 - 2 = +3.833 IPCs damage/SBR      / +4.333 IPCs damage/SBR

    SBR HRules :1 StB A1 regular vs 1 Fg D2 cost 6

    StB roll /Fg roll / AAA roll = odds casualties

    1/62/66/6= 12/216 1 StB killed by AAA vs 1 Fg killed: 5.556%
    1/64/61/6= 4/216 1 StB killed by AAA vs 1 Fg killed: 1.852%
    1/64/65/6= 20/216 no casualty vs 1 Fg killed: 9.259%

    5/62/66/6= 60/216 StB killed by Fg: 27.778%
    5/64/61/6= 20/216 StB killed by AAA: 9.259%
    5/64/65/6= 100/216 both survived: 46.296%

    Results:
    Bombard on IC 120/216= 55.556% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.056 IPCs
    killing Fg 36/216= 16.667% *+6 IPC = + 1 IPC
    StB killed 96/216= 44.444% *-12 IPCs = - 5.333 IPCs
                                  / Damage by StB killed by AAA: 24/216 = 11.111% * x =
    *3.5 IPCs = +1.944 /  +1 IPC = +0.111 IPC
    *4.5 IPCs = +2.500 /  +1 IPC = +0.111 IPC
    *5.5 IPCs = +3.056 /  +2 IPCs = +0.222 IPC
    *6.5 IPCs = +3.611 /  +3 IPCs = +0.333 IPC
    *7.0 IPCs = +3.889 /  +3 IPCs = +0.333 IPC

    Regular    /  with special HR bonus damage to IC when StB is killed by IC’s AAA
    1D6: +2.944 - 5.333 = -2.389 IPCs damage/SBR      / -2.278 IPCs damage/SBR
    1D6+1: +3.500 - 5.333 = -1.833 IPCs damage/SBR    / -1.722 IPCs damage/SBR
    1D6+2: +4.056 - 5.333 = -1.277 IPC damage/SBR  / -1.055 IPCs damage/SBR
    1D6+3: +4.611 - 5.333 = -0.722 IPCs damage/SBR  / -0.389 IPCs damage/SBR
    2D6: +4.889 - 5.333 = -0.444 IPC damage/SBR  / -0.111 IPCs damage/SBR

    SBR HR: 1 StB A1 regular doing SBR against 2 intercepting Fgs D2 Cost 6

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/620/366/6 = 120/1296 1 StB killed by Fg vs 1 Fg
    1/616/361/6= 16/1296 1 StB killed by AAA vs 1 Fg
    1/616/365/6 = 80/1296 no casualty vs 1 Fg

    5/620/366/6 = 600/1296 1 StB killed by Fg vs no casualty
    5/616/361/6 = 80/1296 1 StB killed by AAA vs no casualty
    5/616/365/6 = 400/1296 no casualty at all

    Results:
    Bombard on IC: 480/1296= 37.037% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.037 IPCs
    Killing 1 Fg: 216/1296= 16.667% +6 IPCs = + 1.00 IPCs
    1 StB killed: 816/1296= 62.963%    -12 IPCs = - 7.556 IPCs
              / Damage by StB killed by AAA: 96/1296 = + 7.407% * x =
    *3.5 IPCs = +1.296  /  +1 IPC = +0.074 IPC
    *4.5 IPCs = +1.667  /  +1 IPC = +0.074 IPC
    *5.5 IPCs = +2.037  /  +2 IPCs = +0.148 IPC
    *6.5 IPCs = +2.407  /  +3 IPCs = +0.222 IPC
    *7.0 IPCs = +2.593  /  +3 IPCs = +0.222 IPC

    Regular SBRs  /  with special HR bonus damage to IC when StB is killed by IC’s AAA
    1D6: +2.296 - 7.556 = -5.260 IPCs damage/SBR      / -5.186 IPCs damage/SBR
    1D6+1: +2.667 - 7.556 = -4.889 IPCs damage/SBR    / -4.815 IPCs damage/SBR
    1D6+2: +3.037 - 7.556 = -4.519 IPCs damage/SBR  / -4.371 IPCs damage/SBR
    1D6+3: +3.407 - 7.556 = -4.149 IPCs damage/SBR  / -3.927 IPCs damage/SBR
    2D6: +3.593 - 7.556 = -3.963 IPCs damage/SBR  / -3.741 IPCs damage/SBR

    SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2 cost 6

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    2/364/366/6 = 48/7776 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    2/3616/361/6 = 32/7776 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    2/3616/365/6 = 160/7776 1 Fg killed vs 2 Fgs
    2/3616/361/6 = 32/7776 1 StB killed by AAA vs 2 Fgs
    2/3616/365/6 = 160/7776 no casualty vs 2 Fgs

    14/364/366/6 = 336/7776 1 Fg and 1 StB killed by Fgs vs 1 Fg
    14/3616/361/6 = 224/7776 1 Fg and 1 StB killed by AAA vs 1 Fg
    14/3616/365/6 = 1120/7776 1 Fg vs 1 Fg
    14/3616/361/6= 224/7776 1 StB killed by AAA vs 1 Fg
    14/3616/365/6 = 1120/7776 no casualty vs 1 Fg

    20/364/366/6 = 480/7776 1 Fg and 1 StB killed by Fg vs no casualty
    20/3616/361/6 = 320/7776 1 Fg and 1 StB killed by AAA vs no casualty
    20/3616/365/6 = 1600/7776 1 Fg vs no casualty
    20/3616/361/6 = 320/7776 1 StB killed by AAA vs no casualty
    20/3616/365/6 = 1600/7776 no casualty at all

    Results:
    Bombard on IC: 5760/7776= 74.074%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.074 IPCs
    Killing 2 Fgs: 432/7776= 2.778%+12 IPCs = + 0.333 IPC
    Killing 1 Fg: 3024/7776= 27.778% +6 IPCs = + 1.667 IPCs
    Fg killed: 2880/7776= 37.04%    -6 IPCs = - 2.222 IPCs
    StB killed: 576/7776= 7.41%    -12 IPCs = - 0.889 IPCs
    StB & Fg killed: 1440/7776=18.52%*-18 IPCs = - 3.333 IPCs

    / Damage by 1 StB killed by AAA: 1152/7776 = + 14.815% * x =
    *3.5 IPCs = +2.593  /  +1 IPC = +0.148 IPC
    *4.5 IPCs = +3.333  /  +1 IPC = +0.148 IPC
    *5.5 IPCs = +4.074  /  +2 IPCs = +0.296 IPC
    *6.5 IPCs = +4.815  /  +3 IPCs = +0.444 IPC
    *7.0 IPCs = +5.185  /  +3 IPCs = +0.444 IPC

    Regular SBRs /  with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +4.593 - 6.444 = -1.851 IPCs damage/SBR      / -1.703 IPC damage/SBR
    1D6+1: +5.333 - 6.444 = -1.111 IPC damage/SBR    / -0.963 IPCs damage/SBR
    1D6+2: +6.074 - 6.444 = -0.370 IPC damage/SBR  / +0.074 IPC damage/SBR
    1D6+3: +6.815 - 6.444 = +0.371 IPCs damage/SBR  / +0.815 IPCs damage/SBR
    2D6: +7.185 - 6.444 = +0.741 IPCs damage/SBR  / +1.185 IPCs damage/SBR

    SBR HR: 2 StBs A1 regular doing SBR against 2 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/364/3636/36 = 144/46656 2 StBs killed by Fg vs 2 Fgs
    1/3616/366/36 = 96/46656 1 StB killed by Fg and 1 StB killed by AAA vs 2 Fgs
    1/3616/3630/36 = 480/46656 1 StB killed by Fg vs 2 Fgs
    1/3616/361/36 = 16/46656 2 StBs killed by AAA vs 2 Fgs
    1/3616/3610/36 = 160/46656 1 StB killed by AAA vs 2 Fgs
    1/3616/3625/36 = 400/46656 no casualty vs 2 Fgs

    10/364/3636/36 = 1440/46656 2 StBs killed by Fg vs 1 Fg
    10/3616/366/36 = 960/46656 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    10/3616/3630/36 = 4800/46656 1 StB killed by Fg vs 1 Fg
    10/3616/361/36= 160/46656 2 StBs killed by AAA vs 1 Fg
    10/3616/3610/36= 1600/46656 1 StB killed by AAA vs 1 Fg
    10/3616/3625/36 = 4000/46656 no casualty vs 1 Fg

    25/364/3636/36 = 3600/46656 2 StBs killed by Fg vs no casualty
    25/3616/366/36 = 2400/46656 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    25/3616/3630/36 = 12000/46656 1 StBs killed by Fg vs no casualty
    25/3616/361/36 = 400/46656 2 StBs killed by AAA vs no casualty
    25/3616/3610/36 = 4000/46656 1 StB killed by AAA vs no casualty
    25/3616/3625/36 = 10000/46656 no casualty at all

    Results:
    2x Bombard on IC: 14400/46656= 30.864% * ((6+16) IPCs)/2= +11 IPCs) = + 3.395 IPCs                            / +14 IPCs= + 4.321 IPCs
    1x Bombard on IC: 23040/46656= 49.383% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.716 IPCs                             / +7 IPCs = + 3.457 IPCs
    Killing 2 Fgs: 1296/46656= 2.778%+12 IPCs = + 0.333 IPC
    Killing 1 Fg: 12960/46656= 27.778% +6 IPCs = + 1.667 IPCs
    2 StBs killed: 9216/46656= 19.753%    -24 IPCs = - 4.741 IPCs
    1 StB killed: 23040/46656= 49.383%    -12 IPCs = - 5.926 IPCs
            / Damage by 1 StB killed by AAA: 9216/46656 = + 19.753% * 1x = 2 StBs killed by AAA: 576/46656 = + 1.235% * 2x =
    *+7/+3.5 IPCs = +2.160  /+1.728 /  +1 IPC = +0.198  / +0.025 IPC
    *+9/+4.5 IPCs = +2.778  / +2.222 / +1 IPC = +0.198 / +0.025 IPC
    *+11/+5.5 IPCs = +3.395 / +2.716  /  +2 IPCs = +0.396  / +0.049 IPC
    *+13/+6.5 IPCs = +4.012  /  +3.210 /+3 IPCs = +0.594 / +0.074 IPC
    *+14/+7.0 IPCs = +4.321 / +3.457   /  +3 IPCs = +0.594 / +0.074 IPC

    Regular SBRs  /  with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +4.160 - 10.667 = -6.507 IPCs damage/SBR      / -6.309 IPCs damage/SBR
    1D6+1: +4.778 - 10.667 = -5.889 IPC damage/SBR    / -5.691 IPCs damage/SBR
    1D6+2: +5.395 - 10.667 = -5.272 IPCs damage/SBR  / -4.876 IPC damage/SBR
    1D6+3: +6.012 - 10.667 = -4.655 IPC damage/SBR  / -4.061 IPCs damage/SBR
    2D6: +6.321 - 10.667 = -4.346 IPC damage/SBR  / -3.752 IPCs damage/SBR

    HR: 1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2 Cost 6

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties

    16/362/61/6= 32/1296 1 Fg killed and 1 StB killed by AAA vs 1 Fg
    16/362/65/6= 160/1296 1 Fg killed vs 1 Fg
    16/364/61/6= 64/1296 1 StB killed by AAA vs 1 Fg
    16/364/65/6 = 320/1296 no casualty vs 1 Fg

    20/362/61/6 = 40/1296 1 Fg and 1 StB killed by AAA vs no casualty
    20/362/65/6 = 200/1296 1 Fg vs no casualty
    20/364/61/6 = 80/1296 1 StB killed by AAA vs no casualty
    20/364/65/6 = 400/1296 no casualty at all

    Results:
    Bombard on IC: 1080/1296 = 83.333% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs
    Killing 1 Fg: 576/1296 = 44.444% +6 IPCs = + 2.667 IPCs
    Fg killed: 360/1296 = 27.778%    -6 IPCs = - 1.667 IPCs
    StB killed: 144/1296 = 11.111%-12 IPCs = - 1.333 IPCs
    StB & Fg killed: 72/1296 = 5.556%    -18 IPCs = - 1.000 IPCs
                            / Damage by 1 StB killed by AAA: 216/1296 = + 16.667% * x =
    *3.5 IPCs = +2.917  /  +1 IPC = +0.167 IPC
    *4.5 IPCs = +3.750  /  +1 IPC = +0.167 IPC
    *5.5 IPCs = +4.583  /  +2 IPCs = +0.333 IPC
    *6.5 IPCs = +5.417  /  +3 IPCs = +0.500 IPC
    *7.0 IPCs = +5.833  /  +3 IPCs = +0.500 IPC

    Regular SBRs  /  with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +5.584 - 4.000 = +1.584 IPCs damage/SBR      / +1.751 IPCs damage/SBR
    1D6+1: +6.417 - 4.000 = +2.417 IPCs damage/SBR    / +2.584 IPCs damage/SBR
    1D6+2: +7.250 - 4.000 = +3.250 IPCs damage/SBR  / +3.583 IPCs damage/SBR
    1D6+3: +8.084 - 4.000 = +4.084 IPCs damage/SBR  / +4.584 IPCs damage/SBR
    2D6: +8.500 - 4.000 = +4.500 IPCs damage/SBR  / +5.000 IPCs damage/SBR

    G40 SBR HR: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    11/362/66/36 = 132/7776 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    11/362/630/36 = 660/7776 1 StB killed by Fg vs 1 Fg
    11/364/61/36 = 44/7776 2 StBs killed by AAA vs 1 Fg
    11/364/610/36 = 440/7776 1 StB killed by AAA vs 1 Fg
    11/364/625/36 = 1100/7776 no casualty vs 1 Fg

    25/362/66/36 = 300/7776 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    25/362/630/36 = 1500/7776 1 StBs killed by Fg vs no casualty
    25/364/61/36 = 100/7776 2 StBs killed by AAA vs no casualty
    25/364/610/36 = 1000/7776 1 StB killed by AAA vs no casualty
    25/364/625/36 = 2500/7776 no casualty at all

    Results:
    2x Bombard on IC: 3600/7776= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs                 / +14 IPCs= + 6.481 IPCs
    1x Bombard on IC: 3600/7776= 46.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs                 / +7 IPCs = + 3.241 IPCs
    Killing 1 Fg: 2332/7776= 29.999% +6 IPCs = + 1.80 IPCs
    2 StBs killed: 576/7776= 7.407%    -24 IPCs = - 1.778 IPCs
    1 StB killed: 3600/7776= 46.296%*-12 IPCs = - 5.556 IPCs
       / Damage by 1 StB killed by AAA: 1872/7776 = + 24.074% * 1x = /    2 StBs killed by AAA: 144/7776 = + 1.852% * 2x =
    *+7/+3.5 IPCs = +3.241  /+1.620 /  +1 IPC = +0.241  / +0.037 IPC
    *+9/+4.5 IPCs = +4.167  / +2.083 / +1 IPC = +0.241 / +0.037 IPC
    *+11/+5.5 IPCs = +5.093 / +2.546  /  +2 IPCs = +0.482  / +0.074 IPC
    *+13/+6.5 IPCs = +6.019  /  +3.009 /+3 IPCs = +0.722 / +0.111 IPC
    *+14/+7.0 IPCs = +6.481 / +3.241   /  +3 IPCs = +0.722 / +0.111 IPC

    Regular SBRs  /  with special HR bonus damage to IC when 1 or 2 StBs are killed by IC’s AAA
    1D6: +6.661 - 7.334 = -0.673 IPCs damage/SBR      / -0.395 IPCs damage/SBR
    1D6+1: +8.050 - 7.334 = +0.716 IPCs damage/SBR    / +0.994 IPCs damage/SBR
    1D6+2: +9.439 - 7.334 = +2.105 IPCs damage/SBR  / +2.661 IPCs damage/SBR
    1D6+3: +10.828 - 7.334 = +3.494 IPCs damage/SBR  / +4.327 IPCs damage/SBR
    2D6: +11.522 - 7.334 = +4.188 IPCs damage/SBR  / +5.021 IPCs damage/SBR

    SBR HRules : 2 StBs doing SBR without interceptor
    Regular SBRs /  with special HR bonus damage to IC when 1 or 2 STBs are killed by IC’s AAA
    1D6 (avg 3.5 IPCs): +5.834 - 4 = +1.834 IPCs damage/SBR     / +2.168 IPCs damage/SBR
    1D6+1 (avg 4.5 IPCs): +7.500 - 4 = +3.500 IPCs damage/SBR   / +3.834 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 4 = +5.166 IPCs damage/SBR  / +5.832 IPCs damage/SBR
    1D6+3 (avg 6.5 IPCs): +10.834 - 4 = +6.834 IPCs damage/SBR  / +7.834 IPCs damage/SBR
    2D6 (avg 7 IPCs): +11.666 - 4 = +7.666 IPCs damage/SBR      / +8.666 IPCs damage/SBR

    0
  • baron MünchhausenB
    '17 '16

    1 StB A1 & 1 Fg A2 doing SBR against 3 intercepting Fgs D2 cost 6
    1D6+2: +6.395 - 8.815 = -2.420 IPCs damage/SBR / 2D6: +7.321 - 8.815 = -1.494 IPCs damage/SBR

    1 StB A1 & 1 Fg A2 doing SBR against 3 intercepting Fgs D2 cost 6

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    2/3656/2166/6 = 672/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    2/3696/2161/6 = 192/46656 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    2/3696/2165/6 = 960/46656 1 Fg killed vs 2 Fgs
    2/3664/2161/6 = 128/46656 1 StB killed by AAA vs 2 Fgs
    2/3664/2165/6 = 640/46656 no casualty vs 2 Fgs

    14/3656/2166/6 = 4704/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    14/3696/2161/6 = 1344/46656 1 Fg and 1 StB killed by AAA vs 1 Fg
    14/3696/2165/6 = 6720/46656 1 Fg vs 1 Fg
    14/3664/2161/6= 896/46656 1 StB killed by AAA vs 1 Fg
    14/3664/2165/6 = 4480/46656 no casualty vs 1 Fg

    20/3656/2166/6 = 6720/46656 1 Fg and 1 StB killed by Fg vs no casualty
    20/3696/2161/6 = 1920/46656 1 Fg and 1 StB killed by AAA vs no casualty
    20/3696/2165/6 = 9600/46656 1 Fg vs no casualty
    20/3664/2161/6 = 1280/46656 1 StB killed by AAA vs no casualty
    20/3664/2165/6 = 6400/46656 no casualty at all

    Results:
    Bombard on IC: 28800/46656= 61.728%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.395 IPCs
    Killing 2 Fgs: 2592/46656= 5.556%+12 IPCs = + 0.667 IPC
    Killing 1 Fg: 18144/46656= 38.889% +6 IPCs = + 2.333 IPCs
    Fg killed: 17280/46656= 37.037%    -6 IPCs = - 2.222 IPCs
    StB killed: 2304/46656= 4.938%    -12 IPCs = - 0.593 IPCs
    StB & Fg killed: 15552/46656= 33.333%*-18 IPCs = - 6.00 IPCs

    / Damage by 1 StB killed by AAA: 5760/46656 = + 12.346% * x =
    *3.5 IPCs = +2.160 / +1 IPC = +0.123 IPC
    *4.5 IPCs = +2.778 / +1 IPC = +0.123 IPC
    *5.5 IPCs = +3.395 / +2 IPCs = +0.247 IPC
    *6.5 IPCs = +4.012 / +3 IPCs = +0.370 IPC
    *7.0 IPCs = +4.321 / +3 IPCs = +0.370 IPC

    Regular SBRs  / with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +5.160 - 8.815 = -3.655 IPCs damage/SBR / 3.532 IPC damage/SBR
    1D6+1: +5.778 - 8.815 = -3.037 IPCs damage/SBR / -2.914 IPCs damage/SBR
    1D6+2: +6.395 - 8.815 = -2.420 IPCs damage/SBR / -2.173 IPC damage/SBR
    1D6+3: +7.012 - 8.815 = -1.803 IPCs damage/SBR / -1.433 IPCs damage/SBR
    2D6: +7.321 - 8.815 = -1.494 IPCs damage/SBR / -1.124 IPCs damage/SBR

    G40 SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 3 intercepting Fgs D2
    1D6+2: +8.395 - 11.630 = -3.235 IPC damage/SBR / -2.988 IPC damage/SBR

    G40 SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 3 intercepting Fgs D2

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    2/3656/2166/6 = 672/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    2/3696/2161/6 = 192/46656 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    2/3696/2165/6 = 960/46656 1 Fg killed vs 2 Fgs
    2/3664/2161/6 = 128/46656 1 StB killed by AAA vs 2 Fgs
    2/3664/2165/6 = 640/46656 no casualty vs 2 Fgs

    14/3656/2166/6 = 4704/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    14/3696/2161/6 = 1344/46656 1 Fg and 1 StB killed by AAA vs 1 Fg
    14/3696/2165/6 = 6720/46656 1 Fg vs 1 Fg
    14/3664/2161/6= 896/46656 1 StB killed by AAA vs 1 Fg
    14/3664/2165/6 = 4480/46656 no casualty vs 1 Fg

    20/3656/2166/6 = 6720/46656 1 Fg and 1 StB killed by Fg vs no casualty
    20/3696/2161/6 = 1920/46656 1 Fg and 1 StB killed by AAA vs no casualty
    20/3696/2165/6 = 9600/46656 1 Fg vs no casualty
    20/3664/2161/6 = 1280/46656 1 StB killed by AAA vs no casualty
    20/3664/2165/6 = 6400/46656 no casualty at all

    Results:
    Bombard on IC: 28800/46656= 61.728%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.395 IPCs
    Killing 2 Fgs: 2592/46656= 5.556%+20 IPCs = + 1.111 IPC
    Killing 1 Fg: 18144/46656= 38.889% +10 IPCs = + 3.889 IPCs
    Fg killed: 17280/46656= 37.037%    -10 IPCs = - 3.704 IPCs
    StB killed: 2304/46656= 4.938%    -12 IPCs = - 0.593 IPCs
    StB & Fg killed: 15552/46656= 33.333%*-22 IPCs = - 7.333 IPCs

    / Damage by 1 StB killed by AAA: 5760/46656 = + 12.346% * x =
    *3.5 IPCs = +2.160 / +1 IPC = +0.123 IPC
    *4.5 IPCs = +2.778 / +1 IPC = +0.123 IPC
    *5.5 IPCs = +3.395 / +2 IPCs = +0.247 IPC
    *6.5 IPCs = +4.012 / +3 IPCs = +0.370 IPC
    *7.0 IPCs = +4.321 / +3 IPCs = +0.370 IPC

    Regular SBRs  with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +7.160 - 11.630 = -4.470 IPCs damage/SBR / -4.347 IPC damage/SBR
    1D6+1: +7.778 - 11.630 = -3.852 IPC damage/SBR / -3.729 IPCs damage/SBR
    1D6+2: +8.395 - 11.630 = -3.235 IPC damage/SBR / -2.988 IPC damage/SBR
    1D6+3: +9.012 - 11.630 = -2.618 IPCs damage/SBR / -2.248 IPCs damage/SBR
    2D6: +9.321 - 11.630 = -2.309 IPCs damage/SBR / -1.939 IPCs damage/SBR

    1 StB A1 cost 10 & 1 Fg A2 doing SBR against 3 intercepting Fgs D2 cost 6

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    2/3656/2166/6 = 672/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    2/3696/2161/6 = 192/46656 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    2/3696/2165/6 = 960/46656 1 Fg killed vs 2 Fgs
    2/3664/2161/6 = 128/46656 1 StB killed by AAA vs 2 Fgs
    2/3664/2165/6 = 640/46656 no casualty vs 2 Fgs

    14/3656/2166/6 = 4704/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    14/3696/2161/6 = 1344/46656 1 Fg and 1 StB killed by AAA vs 1 Fg
    14/3696/2165/6 = 6720/46656 1 Fg vs 1 Fg
    14/3664/2161/6= 896/46656 1 StB killed by AAA vs 1 Fg
    14/3664/2165/6 = 4480/46656 no casualty vs 1 Fg

    20/3656/2166/6 = 6720/46656 1 Fg and 1 StB killed by Fg vs no casualty
    20/3696/2161/6 = 1920/46656 1 Fg and 1 StB killed by AAA vs no casualty
    20/3696/2165/6 = 9600/46656 1 Fg vs no casualty
    20/3664/2161/6 = 1280/46656 1 StB killed by AAA vs no casualty
    20/3664/2165/6 = 6400/46656 no casualty at all

    Results:
    Bombard on IC: 28800/46656= 61.728%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.395 IPCs
    Killing 2 Fgs: 2592/46656= 5.556%+12 IPCs = + 0.667 IPC
    Killing 1 Fg: 18144/46656= 38.889% +6 IPCs = + 2.333 IPCs
    Fg killed: 17280/46656= 37.037%    -6 IPCs = - 2.222 IPCs
    StB killed: 2304/46656= 4.938%    -10 IPCs = - 0.494 IPCs
    StB & Fg killed: 15552/46656= 33.333%*-16 IPCs = - 5.333 IPCs

    / Damage by 1 StB killed by AAA: 5760/46656 = + 12.346% * x =
    *3.5 IPCs = +2.160 / +1 IPC = +0.123 IPC
    *4.5 IPCs = +2.778 / +1 IPC = +0.123 IPC
    *5.5 IPCs = +3.395 / +2 IPCs = +0.247 IPC
    *6.5 IPCs = +4.012 / +3 IPCs = +0.370 IPC
    *7.0 IPCs = +4.321 / +3 IPCs = +0.370 IPC

    Regular SBRs  / with special HR bonus damage to IC when 1 StB is killed by IC’s AAA
    1D6: +5.160 - 8.049 = -2.889 IPCs damage/SBR / -2,766 IPC damage/SBR
    1D6+1: +5.778 - 8.049 = -2.271 IPCs damage/SBR / -2.148 IPCs damage/SBR
    1D6+2: +6.395 - 8.049 = -1.654 IPCs damage/SBR / -1.407 IPC damage/SBR
    1D6+3: +7.012 - 8.049 = -1.037 IPCs damage/SBR / -0.667 IPCs damage/SBR
    2D6: +7.321 - 8.049 = -0.728 IPCs damage/SBR / -0.358 IPCs damage/SBR

    Each bomber can defend @1 against up to 2 Fgs interceptors, whichever the lower: act like an AAA vs 2 planes.
    SBR HR: 1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2 cost 6

    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    1/366/64/366/6 = 144/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    1/36    6/616/361/6 = 96/46656 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    1/366/616/365/6 = 480/46656 1 Fg killed vs 2 Fgs
    1/36    6/616/361/6 = 96/46656 1 StB killed by AAA vs 2 Fgs
    1/366/616/36*5/6 = 480/46656 no casualty vs 2 Fgs

    10/362/64/366/6 = 480/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
    10/36    2/616/361/6 = 320/46656 1 Fg killed and 1 StB killed by AAA vs 2 Fgs
    10/362/616/365/6 = 1600/46656 1 Fg killed vs 2 Fgs
    10/36    2/616/361/6 = 320/46656 1 StB killed by AAA vs 2 Fgs
    10/362/616/36*5/6 = 1600/46656 no casualty vs 2 Fgs

    10/364/64/366/6 = 960/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    10/36    4/616/361/6 = 640/46656 1 Fg killed and 1 StB killed by AAA vs 1 Fg
    10/364/616/365/6 = 3200/46656 1 Fg killed vs 1 Fg
    10/36    4/616/361/6 = 640/46656 1 StB killed by AAA vs 1 Fg
    10/364/616/36*5/6 = 3200/46656 no casualty vs 1 Fg

    25/362/64/366/6 = 1200/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
    25/36    2/616/361/6 = 800/46656 1 Fg killed and 1 StB killed by AAA vs 1 Fg
    25/362/616/365/6 = 4000/46656 1 Fg killed vs 1 Fg
    25/36    2/616/361/6 = 800/46656 1 StB killed by AAA vs 1 Fg
    25/362/616/36*5/6 = 4000/46656 no casualty vs 1 Fg

    25/364/64/366/6 = 2400/46656 1 Fg and 1 StB killed by Fgs vs no
    25/36    4/616/361/6 = 1600/46656 1 Fg killed and 1 StB killed by AAA vs no
    25/364/616/365/6 = 8000/46656 1 Fg killed vs no
    25/36    4/616/361/6 = 1600/46656 1 StB killed by AAA vs no
    25/364/616/36*5/6 = 8000/46656 no casualty at all

    Results:
    Bombard on IC: 34560/46656= 74.07%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.074 IPCs /6.5 IPCs =+4.815 IPCs / +7 IPCs = +5.185 IPCs
    Killing 2 Fgs: 5616/46656= 12.037%+12 IPCs = + 1.444 IPCs
    Killing 1 Fg: 19440/46656= 41.667% +6 IPCs = + 2.500 IPCs
    Fg killed: 17280/46656= 37.037%    - 6 IPCs = - 2.222 IPCs
    StB killed: 3456/46656= 7.407%    -12 IPCs = - 0.889 IPCs
    StB & Fg killed: 8640/46656=18.519%*-18 IPCs = - 3.333 IPCs

    D6+2: + 8.018 - 6.444 = + 1.574 IPC damage/SBR
    D6+3: + 8.759 - 6.444 = + 2.315 IPCs damage/SBR
    2D6: + 9.129 - 6.444 = + 2.685 IPCs damage/SBR

    SBR HR: 1 StB A1 against up to 2 Fgs doing SBR against 2 intercepting Fgs D2 cost 6
    Each bomber can defend @1 against up to 2 Fgs interceptors, whichever the lower: act like an AAA vs 2 planes.
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/3620/366/6 = 120/7776 1 StB killed by Fg vs 2 Fg
    1/3616/361/6= 16/7776 1 StB killed by AAA vs 2 Fg
    1/3616/365/6 = 80/7776 no casualty vs 2 Fg

    10/3620/366/6 = 1200/7776 1 StB killed by Fg vs 1 Fg
    10/3616/361/6= 160/7776 1 StB killed by AAA vs 1 Fg
    10/3616/365/6 = 800/7776 no casualty vs 1 Fg

    25/3620/366/6 = 3000/7776 1 StB killed by Fg vs no casualty
    25/3616/361/6 = 400/7776 1 StB killed by AAA vs no casualty
    25/3616/365/6 = 2000/7776 no casualty at all

    Results:
    Bombard on IC: 2880/7776= 37.037% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.037 IPCs / 6.5 IPCs =+2.407 IPCs / 7 IPCs = +2.593 IPCs
    Killing 2 Fg: 216/7776 = 2.778% *+ 12 IPCs = + 0.333 IPCs
    Killing 1 Fg: 2160/7776= 27.778% + 6 IPCs = + 1.667 IPCs
    1 StB killed: 4896/7776= 62.963%    -12 IPCs = - 7.556 IPCs

    D6+2: +4.037 - 7.556 = - 3.519 IPCs damage/SBR
    D6+3: +4.407 -7.556= - 3.149 IPCs damage/SBR
    2D6: +4.593 - 7.556 = - 2.963 IPCs damage/SBR

    SBR HR: 2 StBs A1 damage: D6+2/ D6+3 / 2D6 doing SBR against 1 intercepting Fgs D2 cost 6
    With optionnal limitation rule: in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/62/66/36 = 12/1296 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    1/62/630/36 = 60/1296 1 StB killed by Fg vs 1 Fg
    1/64/61/36 = 4/1296 2 StBs killed by AAA vs 1 Fg
    1/64/610/36 = 40/1296 1 StB killed by AAA vs 1 Fg
    1/64/625/36 = 100/1296 no casualty vs 1 Fg

    5/62/66/36 = 60/1296 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    5/62/630/36 = 300/1296 1 StBs killed by Fg vs no casualty
    5/64/61/36 = 20/1296 2 StBs killed by AAA vs no casualty
    5/64/610/36 = 200/1296 1 StB killed by AAA vs no casualty
    5/64/625/36 = 500/1296 no casualty at all

    Results:
    2x Bombard on IC: 600/1296= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs / 13 IPCs =+6.019 IPCs / +14 IPCs = +6.481 IPCs
    1x Bombard on IC: 600/1296= 46.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs / 6.5 IPCs = +3.009 IPCs / +7 IPCs = +3.241 IPCs
    Killing 1 Fg: 216/1296= 16.667% +6 IPCs = + 1.000 IPCs
    2 StBs killed: 96/1296= 7.407%    -24 IPCs = - 1.778 IPCs
    1 StB killed: 600/1296= 46.296%*-12 IPCs = - 5.556 IPCs

    Sum D6+2: +8.639 - 7.334 = +1.305 IPCs damage/SBR
    Sum D6+3: +10.028 - 7.334 = +2.694 IPCs damage/SBR
    Sum 2D6: +10.722 - 7.334 = +3.388 IPCs damage/SBR

    1 StB C10 A1 against up to 2 Fgs doing SBR against 2 Fgs D2 cost 6
    Each bomber can defend @1 against up to 2 Fgs interceptors, whichever the lower: act like an AAA vs 2 planes.
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/3620/366/6 = 120/7776 1 StB killed by Fg vs 2 Fg
    1/3616/361/6= 16/7776 1 StB killed by AAA vs 2 Fg
    1/3616/365/6 = 80/7776 no casualty vs 2 Fg

    10/3620/366/6 = 1200/7776 1 StB killed by Fg vs 1 Fg
    10/3616/361/6= 160/7776 1 StB killed by AAA vs 1 Fg
    10/3616/365/6 = 800/7776 no casualty vs 1 Fg

    25/3620/366/6 = 3000/7776 1 StB killed by Fg vs no casualty
    25/3616/361/6 = 400/7776 1 StB killed by AAA vs no casualty
    25/3616/365/6 = 2000/7776 no casualty at all

    Results:
    Bombard on IC: 2880/7776= 37.037% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.037 IPCs / 6.5 IPCs =+2.407 IPCs / 7 IPCs = +2.593 IPCs / 3.5= +1.296 IPCs / 4.5 = +1.667
    Killing 2 Fg: 216/7776 = 2.778% *+ 12 IPCs = + 0.333 IPCs
    Killing 1 Fg: 2160/7776= 27.778% + 6 IPCs = + 1.667 IPCs
    1 StB killed: 4896/7776= 62.963%    -10 IPCs = - 6.296 IPCs

    1D6: +3.296 - 6.296 = -3.000 IPCs damage/SBR
    D6+1: +3.667 - 6.296 = -2.629 IPCs damage/SBR
    D6+2: +4.037 - 6.296= - 2.259 IPCs damage/SBR
    D6+3: +4.407 -6.296= - 1.889 IPCs damage/SBR
    2D6: +4.593 - 6.296 = - 1.703 IPCs damage/SBR

    2 StBs C10 A1 damage: D6+2/ D6+3 / 2D6 doing SBR against 1 Fg D2 cost 6
    With optionnal limitation rule: in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties

    1/62/66/36 = 12/1296 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    1/62/630/36 = 60/1296 1 StB killed by Fg vs 1 Fg
    1/64/61/36 = 4/1296 2 StBs killed by AAA vs 1 Fg
    1/64/610/36 = 40/1296 1 StB killed by AAA vs 1 Fg
    1/64/625/36 = 100/1296 no casualty vs 1 Fg

    5/62/66/36 = 60/1296 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    5/62/630/36 = 300/1296 1 StBs killed by Fg vs no casualty
    5/64/61/36 = 20/1296 2 StBs killed by AAA vs no casualty
    5/64/610/36 = 200/1296 1 StB killed by AAA vs no casualty
    5/64/625/36 = 500/1296 no casualty at all

    Results:
    2x Bombard on IC: 600/1296= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs / 13 IPCs =+6.019 IPCs / +14 IPCs = +6.481 IPCs / 7 IPCs = +3.241 / 9 = +4.167
    1x Bombard on IC: 600/1296= 46.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs / 6.5 IPCs = +3.009 IPCs / +7 IPCs = +3.241 IPCs / 3.5 = +1.620 / 4.5 = +2.083
    Killing 1 Fg: 216/1296= 16.667% +6 IPCs = + 1.000 IPCs
    2 StBs killed: 96/1296= 7.407%    -20 IPCs = - 1.481 IPCs
    1 StB killed: 600/1296= 46.296%*-10 IPCs = - 4.630 IPCs

    1D6: +5.861 - 6.111 = -0.250 IPCs damage/SBR
    D6+1: +7.250 - 6.111 = +1.139 IPCs damage/SBR
    D6+2: +8.639 - 6.111 = +2.528 IPCs damage/SBR
    D6+3: +10.028 - 6.111 = +3.917 IPCs damage/SBR
    2D6: +10.722 - 6.111 = +4.611 IPCs damage/SBR

    0
  • baron MünchhausenB
    '17 '16

    Here is another interesting idea which should be evaluated:
    corriganbp wrote Wed Oct 19, 2011 4:49 pm

    Interceptors should shoot at 2.

    Escorts should shoot at 1, UNLESS they are allowed to break free of the bombers and attack enemy interceptors, and then they shoot at 2, however, this is at the expense of the defender being able to pick the losses, the fighters can no longer absorb the interceptors damage.

    That’s the way to do it.

    http://www.harrisgamedesign.com/phpBB3/viewtopic.php?f=40&t=6491&start=128

    0
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