1942.2 SBR Black Elk hypothesis
Strategic Bomber
Attack 0
Damage 1D6, 1D6+2
Cost 5
Fighter
Attack 1
Defense 2
Cost 10
Break even point StB A0 C5, 1D6+2 damage vs Fg A1 D2: 21 StBs vs 30 Fgs: 0.700 StB/Fg
1StB D6+2 vs 1Fg D2: + 3.056 - 2.222= + 0.834 IPC damage/SBR12= +10.008
1StB D6+2 vs 2Fgs D2: +2.037 - 3.148 = -1.111 IPC damage/SBR9= -9.999 (Diff.: +0.009)
21 StB vs 30 Fgs: 0.700 StB/Fg
No FIT (Fighter Interception Threshold), always beneficial to Intercept.
Break even point StB A0 C5, 1D6 damage vs Fg A1 D2: 17 StBs vs 15 Fgs: 1.133 StBs/Fg
1 StB D6 vs 1Fg D2: + 1.944 - 2.222 = -0.278 IPC damage/SBR13 = -3.614
2 StBs D6 vs 1Fg D2: +4.861 - 3.056= +1.805 IPCs damage/SBR2= +3.610 (Diff.: -0.004)
17 StBs vs 15 Fgs: 1.133 StBs/Fgs
No FIT (Fighter Interception Threshold), always beneficial to Intercept.
Down below here is a different values doing SBR for 1942.2 and G40
Strategic Bomber in air-to-air combat SBR:
Attack 0
Bombard IC damage: D6 or 1D6+2
Fighter in air-to-air combat SBR:
Attack 1
Defend 2
IC’s AAA: @1 against each Strategic Bomber
1942.2 SBR HRules with StB A0 and Fg A1 D1 : damage 1D6 or 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
1/6 StB killed *5 IPCs = -0.833 IPCs
D6: +2.917-0.833= +2.084 IPCs
D6+2: + 4.583 - 0.833 = +3.750 IPCs damage/SBR
1 Strategic Bomber Att 0 doing SBR against 1 interceptor Def 2
Interceptor Fg roll/ AAA roll = odds casualties
2/66/6 = 12/36 1 StB killed by Fg
4/61/6 = 4/36 1 StB killed by AAA
4/6*5/6 = 20/36 No casualty at all.
Results:
Bombard on IC 20/36* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.056 IPCs *3.5=+1.944
StB killed 16/36 *-5 IPCs = - 2.222 IPCs
1D6 vs 1D2: + 1.944 - 2.222 = -0.278
1D6+2 vs 1D2: + 3.056 - 2.222= + 0.834 IPC damage/SBR
D6 vs Fg D1: + 2.431 - 1.528 = +0.903
D6+2 vs Fg D1: + 3.819 - 1.528= + 2.291 IPC damage/SBR
1 Strategic Bomber Att 0 doing SBR against 2 interceptors Def 2
Interceptors Fgs roll/ AAA roll = odds casualties
20/366/6 = 120/216 1 StB killed by Fg
16/361/6 = 16/216 1 StB killed by AAA
16/36*5/6 = 80/216 No casualty at all.
Results:
Bombard on IC 80/216* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = +2.037 IPCs *3.5= +1.296
StB killed 136/216 *- 5 IPCs = -3.148 IPCs
D6 vs D2: +1.296 - 3.148 =-1.852 IPCs
D6+2 vs D2: +2.037 - 3.148 = -1.111 IPC damage/SBR
D6 vs Fg D1: + 2.025 - 2.106 = -0.081 IPCs
D6+2 vs Fg D1 : + 3.183 - 2.106 = +1.077 IPC damage/SBR
1 Fighter Att 1 and 1 Strategic Bomber Att 0 doing SBR against 2 interceptors Def 2
Fighter roll/interceptors Fgs roll/ AAA roll = odds casualties
1/64/366/6 = 24/1296 1 Fg and 1 StB killed by Fgs vs 1 Fg
1/616/361/6= 16/1296 1 Fg killed by Fg and 1 StB killed by AAA vs 1 Fg
1/616/365/6= 80/1296 1 Fg 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
5/64/366/6 = 120/1296 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 1 Fg 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: 960/1296 * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.074 IPCs 3.5= +2.593
Killing 1 Fg: 216/1296 +10 IPCs = + 1.667 IPCs
Fg killed: 480/1296-10 IPCs = - 3.704 IPCs
StB killed: 96/1296 -5 IPCs = - 0.370 IPCs
StB & Fg killed: 240/1296* -15 IPCs = - 2.778 IPCs
D6 vs 2Fgs D2: +4.260 - 6.852 = -2.592 IPCs
D6+2 vs 2Fgs D2: + 5.741 - 6.852 = -1.111 IPCs damage/SBR
D6 vs D1: +4.503 - 1.690 = +2.813 IPCs
D6+2 vs D1: + 6.123 - 1.690 = + 4.433 IPCs damage/SBR
1 Fighter Att 1 and 1 Strategic Bomber Att 0 doing SBR against 1 interceptor Def 2
Fighter escort taking the casualty.
Fighter roll/interceptor Fg roll/ AAA roll = odds casualties
1/62/61/6= 2/216 1 Fg killed by Fg and 1 StB killed by AAA vs 1 Fg
1/62/65/6= 10/216 1 Fg killed by Fg vs 1 Fg
1/64/61/6 = 4/216 1 StB killed by AAA vs 1 Fg
1/64/65/6 = 20/216 No casualty vs 1 Fg
5/62/61/6 = 10/216 1 Fg killed by Fg and 1 StB killed by AAA vs no casualty
5/62/65/6 = 50/216 1 Fg killed by Fg vs no casualty
5/64/61/6 = 20/216 1 StB killed by AAA vs no casualty
5/64/65/6 = 100/216 no casualty at all
Results:
Bombard on IC: 180/216 * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs 3.5= +2.917
Killing 1 Fg: 36/216 +10 IPCs = + 1.667 IPCs
Fg killed:60/216-10 IPCs = -2.778 IPCs
StB killed: 24/216 -5 IPCs = - 0.555 IPCs
StB & Fg killed: 12/216* -15 IPCs = -0.833 IPC
1Fg A1 1StB D6 vs 1 Fg D2: +4.583 - 4.166 = +0.418 IPCs
1Fg A1 1StB D6+2 vs 1 Fg D2: + 6.250 - 4.166 = + 2.084 IPCs damage/SBR
1Fg A1 1StB D6: +2.500 - 1.111 = +1.389 IPCs
1Fg A1 1StB D6+2: + 6.250 - 1.111 = + 5.139 IPCs damage/SBR
2 Strategic Bombers Att 0 doing SBR against 2 interceptors Def 2
Interceptor Fgs roll/ AAA roll = odds casualties
4/3636/36= 144/1296 2 StBs killed by Fgs
16/366/36 = 96/1296 1 StB killed by Fg and 1 StB killed by AAA
16/36*30/36= 480/1296 1 StB killed by Fg
16/361/36 = 16/1296 2 StBs killed by AAA
16/3610/36 = 160/1296 1 StB killed by AAA
16/36*25/36 = 400/1296 No casualty at all.
Results:
2x Bombard on IC 400/1296* ((2+4)+(12+4) IPCs)/2= +11 IPCs) = +3.395 IPCs 7=+2.160
1x Bombard on IC 640/1296 ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.716 IPCs 3.5=+1.728
2 StBs killed 256/1296 -10 IPCs = -1.975 IPCs
1 StB killed 640/1296* -5 IPCs = -2.469 IPCs
D6 vs 2 Fgs D2: +3.888 - 4.444 =-0.556 IPCs
D6+2 vs 2Fgs D2: +6.111 - 4.444 = +1.667 IPCs damage/SBR
D6 vs 2 Fgs D1: +4.863 - 3.056 = +1.807 IPCs
D6+2 vs 2Fgs D1: + 7.639 - 3.056 = + 4.583 IPCs damage/SBR
2 Strategic Bombers Att 0 doing SBR against 1 interceptor Def 2
Interceptor Fg roll/ AAA roll = odds casualties
2/66/36 = 12/216 1 StB killed by Fg and 1 StB killed by AAA
2/630/36= 60/216 1 StB killed by Fg
4/61/36 = 4/216 2 StBs killed by AAA
4/610/36 = 40/216 1 StB killed by AAA
4/6*25/36 = 100/216 No casualty at all.
Results:
2x Bombard on IC 100/216* ((2+4)+(12+4) IPCs)/2= +11 IPCs) = +5.093 IPCs 7=+3.241
1x Bombard on IC 100/216 ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs 3.5=+1.620
2 StBs killed 16/216 -10 IPCs = -0.741 IPC
1 StB killed 100/216* -5 IPCs = -2.315 IPCs
2 StBs D6 vs 1 Fg D2: +4.861 - 3.056= +1.805 IPCs
2 StBs D6+2 vs 1 Fg D2: +7.639 - 3.056 = +4.583 IPCs damage/SBR
2 StBs D6 vs 1 Fg D1: +5.347 - 2.361= +2.986 IPCs
2 StBs D6+2 vs 1 Fg D1: +8.403 - 2.361 = +6.042 IPCs damage/SBR
@Baron:
Summary:
StB A0 C12 vs Fg A1 C10
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 IPC 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 IPCs 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