Hello everyone!
Here is the Part 1 to the MonsieurMurdoch’s Comprehensive Collection of Alternate History
There are 5 scenarios total in this package, with more on the way.
Read through, play, and let me know what you think!
Cheers!
Alt History Rulebook.pdf
Under construction:Strategic Bombing Raid OOB & House ruled method and numbers
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This thread is dedicated to summarized all calculations made in many threads to describe the statistical odds of making damage for a given situation with a given method of Strategic Bombing Raid. It provides an IPCs damage net results either positive or negative for this specific Strategic Bombing Raid run.
Since there is no BattleCalc which can provides the average damage which could be done in a single run with X-Bomber+Y-Fighter against Z-Fg interceptors.
I hope this will be a step for creating a small chart for a given OOB SBR rules, to give the odds of making an SBR run in a given situation of Bombers-Escorts-Interceptors.I will started by the three OOB rules, then follow with the many variants suggested elsewhere.
First, there is OOB SBR rules from second edition:
1- G40.2 (the most generous from attacker POV),
2- 1942.2 (the most dangerous and the less rewarding from attacker POV)
3- Triple A for 1942.2 (a less dangerous but not much rewarding for the attacker)@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:
G1940 OOB SBR:
1 StB doing SBR without interceptor
Sum: +4.583 - 2 = +2.583 IPCs damage/SBR run1 StB A1 against 1 Fg D1 damage: 1D6+2
Sum: + 5.486 - 3.667 = + 1.819 IPC damage/SBR run1 StB A1 doing SBR against 2 intercepting Fgs D1
Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run2 StBs A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run2 StBs A1 doing SBR against 1 intercepting Fg D1
Sum: +11.459 - 5.666 = + 5.793 IPCs damage/SBR run
Triple A SBR for 1942.2:
1 StB doing SBR without interceptor (damage 1D6)
Sum: +2.917 - 2 = +0.917 IPC damage/SBR run1 StB A1 against 1 Fg D1
Sum: +3.69 - 3.667 = + 0.023 IPC damage/SBR run1 StB A1 doing SBR against 2 intercepting Fgs D1 / damage 1D6
Sum: + 2.025 - 5.056 = - 3.031 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
Sum: +6.155 - 5.33 = + 0.825 IPC damage/SBR run2 StBs A1 doing SBR against 2 intercepting Fgs D1
Sum: +8.195 - 7.334 = + 0.861 IPC damage/SBR run1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
Sum: + 5.973 - 3.667 = + 2.306 IPCs damage/SBR run2 StBs A1 doing SBR against 1 intercepting Fg D1
Sum: +8.403 - 5.666 = + 2.737 IPCs damage/StB
OOB SBR rules for 1942.2:
1 StB doing SBR without interceptor damage: 1D6
Sum: + 2.917 - 2 = +0.917 IPC damage/SBR run1 StB A1 first strike against 1 Fg D2
Sum: + 3.8 - 4.8 = - 1 IPC damage/SBR run1 StB A1 first strike doing SBR against 2 intercepting Fgs D2 / damage 1D6
Sum: + 3.071 - 7.185 = - 4.114 IPC. damage/SBR run1 StB & 1 Fg A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: + 6.018 - 7.555 = - 1.537 IPCs damage/SBR run2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: +7.547 - 9.556 = - 2.009 IPCs damage/SBR run1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D2
Sum: + 5.973 - 5.159 = + 0.814 IPCs damage/SBR run2 StBs A1 first strike doing SBR against 1 intercepting Fg D2
Sum: + 8.214 - 6.315 = + 1.899 IPCs damage/SBR run
1942.2 SBR House Rules :
1 StB doing SBR without interceptor, damage 1D6+2
Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run1 StB A1 regular vs 1 Fg D2
Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR run1 StB A1 regular doing SBR against 2 intercepting Fgs D2
Sum: +3.704 - 7.556 = - 3.852 IPCs damage/SBR run1 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 run2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
Sum: +9.445 - 10.667 = - 1.222 IPCs damage/SBR run1 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 run2 StBs A1 regular doing SBR against 1 intercepting Fg D2
Sum: +10.639 - 7.334 = + 3.304 IPCs damage/SBR run
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 casualtiesSum: +9.306 - 7.334 = + 1.972 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:
@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/StB
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 are even better than a single bomber against an undefended Industrial Complex ! ( +2.583 vs + 3.639 IPCs damage/SBR run)G1940 SBR: 1 StB doing SBR without interceptor/ damage 1D6+2
Sum: +4.583 - 2 = +2.583 IPCs damage/SBR runG40: 1 StB A1 doing SBR against 1 Fg D1 / damage 1D6+2
Sum: + 4.845 - 3.666 = + 1.179 IPC. damage/SBR runG40: 1 StB A1 doing SBR against 2 intercepting Fgs D1
Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR runG40: 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 runG40: 2 StBs A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2/StB
Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR runG40: 1 StB & 1 Fg A1 doing SBR against 1 intercepting Fgs D1
Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR runG40: 2 StBs A1 doing SBR against 1 intercepting Fgs D1
Sum: +11.459 - 5.666 = + 5.793 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/SBR runTriple A SBR 1942.2: 1 StB A1 vs 1 Fg D1
Sum: +3.69 - 3.667 = + 0.023 IPC damage/SBR runTriple A SBR 1942.2 : 1 StB A1 doing SBR against 2 intercepting Fgs D1 / damage 1D6
Sum: + 2.025 - 5.056 = - 3.031 IPCs damage/SBR runTriple 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 runTriple A SBR 1942.2: 2 StBs A1 doing SBR against 2 intercepting Fgs D1
Sum: +8.195 - 7.334 = + 0.861 IPC damage/SBR runTriple A SBR 1942.2: 1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
Sum: + 5.973 - 3.667 = + 2.306 IPCs damage/SBR runTriple A SBR 1942.2: 2 StBs A1 doing SBR against 1 intercepting Fg D1
Sum: +8.403 - 5.666 = + 2.737 IPCs damage/StB
OOB SBR rules for 1942.2: 1 StB doing SBR without interceptor damage: 1D6
Sum: + 2.917 - 2 = +.917 IPC damage/SBR runOOB 1942.2: 1 StB A1 first strike vs 1 Fg D2
Sum: + 3.8 - 4.8 = - 1 IPC damage/SBR runOOB 1942.2: 1 StB A1 first strike doing SBR against 2 intercepting Fgs D2 / damage 1D6
Sum: + 3.071 - 7.185 = - 4.114 IPC. damage/SBROOB 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 runOOB 1942.2: 2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: +7.547 - 9.556 = - 2.009 IPCs damage/SBR runOOB 1942.2: 1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D2
Sum: + 5.973 - 5.159 = + 0.814 IPCs damage/SBR runOOB 1942.2: 2 StBs A1 first strike doing SBR against 1 intercepting Fg D2
Sum: + 8.214 - 6.315 = + 1.899 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 the link to HR forum for what I think is a more historical and balance SBR rules:
http://www.axisandallies.org/forums/index.php?topic=34118.msg1311386#msg1311386 -
G40.2 OOB SBR rules
Strategic Bomber
Attack 1
Damage 1D6+2
Cost 12Fighter
Attack 1
Defense 1
Cost 10
G1940 OOB SBR:
1 StB doing SBR without interceptor
Sum: +4.583 - 2 = +2.583 IPCs damage/SBR run1 StB A1 against 1 Fg D1
Sum: + 5.486 - 3.667 = + 1.819 IPC damage/SBR run1 StB A1 doing SBR against 2 intercepting Fgs D1
Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run2 StBs A1 doing SBR against 2 intercepting Fgs D1
Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run2 StBs A1 doing SBR against 1 intercepting Fg D1
Sum: +11.459 - 5.666 = + 5.793 IPCs damage/SBR run
@Baron:
OOB G40: 1 StB doing SBR without interceptor
5/6 StB survived * 5.5 IPCs = 4.583 IPCs
1/6 StB killed *12 IPCs = -2 IPCsSum: 4.583 - 2 = +2.583 IPCs damage/StB
OOB G40: 1 StB A1 vs 1 Fg D1
StB roll /Fg roll / AAA roll
116= 6/216 1 StB killed by Fg vs 1 Fg killed: 2.8%
151= 5/216 1 StB killed by AAA vs 1 Fg killed: 2.3%
155= 25/216 no casualty vs 1 Fg killed: 11.6%516= 30/216 StB killed by Fg: 13.9%
551= 25/216 StB killed by AAA: 11.6%
555= 125/216 both survived: 57.8%Results:
69.4% * ((1+2) +(6+2) IPCs)/2= + 5.5 IPCs) = 3.817 IPCs
16.67% killing Fg *+10 IPCs = + 1.667 IPC
30.6% StB killed *-12 IPCs = - 3.672 IPCsSum: 5.484 - 3.672 = + 1.812 IPCs damage/StB
OOB G40: 1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
StB+Fg rolls / interceptors Fgs roll / AAA roll = odds � casualties
1/361/366/6 � = 6/7776 � � � 1 Fg and 1 StB killed by Fg vs 2 Fgs : .1%
1/3610/361/6 = 10/7776 � � � 1 Fg and 1 StB killed by AAA vs 2 Fgs : .1%
1/3610/365/6 = 50/7776 � � � 1 Fg vs 2 Fgs : .6%
1/3625/361/6 = 25/7776 � � � 1 StB killed by AAA vs 2 Fgs : .3%
1/3625/365/6 =125/7776 � � no casualty vs 2 Fgs : 1.6%10/361/366/6 = 60/7776 � � � 1 Fg and 1 StB killed by Fg vs 1 Fg : .8%
10/3610/361/6= 100/7776 � � 1 Fg and 1 StB killed by AAA vs 1 Fg : 1.3%
10/3610/365/6 = 500/7776 � 1 Fg vs 1 Fg : 6.4%
10/3625/361/6 = 250/7776 � 1 StB killed by AAA vs 1 Fg : 3.2%
10/3625/365/6 = 1250/7776 � no casualty � vs 1 Fg : 16.1%25/361/366/6 � = 150/7776 � 1 Fg and 1 StB killed by Fg vs no casualty : 1.9%
25/3610/361/6 = 250/7776 � � 1 Fg and 1 StB killed by AAA vs no casualty : 3.2%
25/3610/365/6 = 1250/7776 � 1 Fg vs no casualty : 16.1%
25/3625/361/6 = 625/7776 � � 1 StB killed by AAA vs no casualty : 8.1%
25/3625/365/6 = 3125/7776 � no casualty at all : 40.2%Results:
Bombard on IC: 81% * ((1+2) +(6+2) IPCs)/2= +5.5 IPCs) = 4.455 IPCs
Killing 2 Fgs: 2.7%+20 IPCs = � + 0.54 IPC
Killing 1 Fg: 27.8% +10 IPCs = � + 2.78 IPCs
Fg killed: 23.1%-10 IPCs = � � � � - 2.31 IPCs
StB killed: 11.6%-12 IPCs = � � � - 1.392 IPCs
StB & Fg killed: 7.4%*-22 IPCs = - 1.628 IPCsSum: 7.775 - 5.33 = + 2.445 IPCs damage/StB
OOB G40: 1 StB A1 doing SBR against 2 intercepting Fgs D1
StB roll / interceptors Fgs roll / AAA roll = odds � casualties
1/611/366/6= � 66/1296 � � 1 StB killed by Fgs vs 1 Fg : 5.09%
1/625/361/6 = 25/1296 � 1 StB killed by AAA vs 1 Fg : 1.93%
1/625/365/6 = 125/1296 � no casualty � vs 1 Fg : 9.65%5/611/366/6 = 330/1296 � � 1 StB killed by Fgs vs no casualty : 25.46%
5/625/361/6 = 125/1296 � � 1 StB killed by AAA vs no casualty : 9.65%
5/625/365/6 = 625/1296 � no casualty at all : 48.22%Results:
Bombard on IC: 57.87% * ((1+2) +(6+2) IPCs)/2= +5.5 IPCs) = 3.183 IPCs
Killing 1 Fg: 16.67% +10 IPCs = � + 1.667 IPCs
StB killed: 42.13%-12 IPCs = � � - 5.056 IPCsSum: 4.85 - 5.056 = - 0.206 IPCs damage/StB
OOB G40: 1 StB A1 doing SBR against 3 intercepting Fgs D1
StB roll / interceptors Fgs roll / AAA roll = odds casualties
1/691/2166/6= 546/7776 1 StB killed by Fgs vs 1 Fg
1/6125/2161/6 = 125/7776 1 StB killed by AAA vs 1 Fg
1/6125/2165/6 = 625/7776 no casualty vs 1 Fg5/691/2166/6 = 2730/7776 1 StB killed by Fgs vs no casualty
5/6125/2161/6 = 625/7776 1 StB killed by AAA vs no casualty
5/6125/2165/6 = 3125/7776 no casualty at allResults:
Bombard on IC: 3750/7776= 48.23% * ((1+2) +(6+2) IPCs)/2= +5.5 IPCs) = + 2.652 IPCs
Killing 1 Fg: 1296/7776= 16.67% +10 IPCs = + 1.667 IPCs
StB killed: 4026/7776= 51.77%-12 IPCs = - 6.213 IPCsSum: + 4.319 - 6.213 = - 1.894 IPCs damage/StB run
OOB G40: 1 StB A1 & 1 Fg A1 doing SBR against 3 intercepting Fgs D1
StB+Fg rolls / interceptors Fgs roll / AAA roll = odds casualties
1/3616/2166/6 = 96/46656 1 Fg and 1 StB killed by Fg vs 2 Fgs
1/3675/2161/6 = 75/46656 1 Fg and 1 StB killed by AAA vs 2 Fgs
1/3675/2165/6 = 375/46656 1 Fg vs 2 Fgs
1/36125/2161/6 = 125/46656 1 StB killed by AAA vs 2 Fgs
1/36125/2165/6 = 625/46656 no casualty vs 2 Fgs10/3616/2166/6 = 960/46656 1 Fg and 1 StB killed by Fg vs 1 Fg
10/3675/2161/6= 750/46656 1 Fg and 1 StB killed by AAA vs 1 Fg
10/3675/2165/6 = 3750/46656 1 Fg vs 1 Fg
10/36125/2161/6 = 1250/46656 1 StB killed by AAA vs 1 Fg
10/36125/2165/6 = 6250/46656 no casualty vs 1 Fg25/3616/2166/6 = 2400/46656 1 Fg and 1 StB killed by Fg vs no casualty
25/3675/2161/6 = 1875/46656 1 Fg and 1 StB killed by AAA vs no casualty
25/3675/2165/6 = 9375/46656 1 Fg vs no casualty
25/36125/2161/6 = 3125/46656 1 StB killed by AAA vs no casualty
25/36125/2165/6 = 15625/46656 no casualty at allResults:
Bombard on IC: 36000/46656 * ((1+2) +(6+2) IPCs)/2= +5.5 IPCs) = + 4.244 IPCs
Killing 2 Fgs: 1296/46656 +20 IPCs = + 0.556 IPC
Killing 1 Fg: 12960/46656 +10 IPCs = + 2.778 IPCs
Fg killed: 13500/46656-10 IPCs = - 2.894 IPCs
StB killed: 4500/46656-12 IPCs = - 1.157 IPCs
StB & Fg killed: 6156/46656*-22 IPCs = - 2.903 IPCsSum: 7.578 - 6.954 = + 0.624 IPC damage/StB run
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1942.2 OOB SBR rules
Strategic Bomber
Attack 1 First Strike
Damage 1D6
Cost 12Fighter
Attack 1 First Strike
Defense 2
Cost 10
OOB SBR rules for 1942.2:
1 StB doing SBR without interceptor
Sum: + 2.917 - 2 = +0.917 IPC damage/SBR run1 StB A1 first strike against 1 Fg D2
Sum: + 3.8 - 4.8 = - 1 IPC damage/SBR run1 StB A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: + 3.071 - 7.185 = - 4.114 IPC. damage/SBR run1 StB & 1 Fg A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: + 6.018 - 7.555 = - 1.537 IPCs damage/SBR run2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: +7.547 - 9.556 = - 2.009 IPCs damage/SBR run1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D2
Sum: + 5.973 - 5.159 = + 0.814 IPCs damage/SBR run2 StBs A1 first strike doing SBR against 1 intercepting Fg D2
Sum: + 8.214 - 6.315 = + 1.899 IPCs damage/SBR run@Baron:
Here is another detailed statistics which show (what we already know intuitively) that SBR on a 1:1 basis StB+Fg escort vs 2 Fgs 1942.2 is weaker and far less interesting than G40 and to what extent:
1942.2 OOB SBR: 1 StB doing SBR without interceptor damage: 1D6
5/6 StB survived * 3.5 IPCs = 2.9 IPCs
1/6 StB killed *12 IPCs = -2 IPCs
Sum: 2.9 - 2 = +.9 IPC damage/StB1942.2 OOB SBR: 1 StB A1 first strike doing SBR against 2 intercepting Fgs D2 / damage 1D6
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 killed520/366= 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 allResults:
Bombard on IC 520/1296= 40.123% * ((1+6 IPCs)/2= +3.5 IPCs) = + 1.404 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: + 3.071 - 7.185 = - 4.114 IPC. damage/SBR
1942.2: 1 StB & 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: 76.8% * ((1+6) IPCs)/2= +3.5 IPCs) = 2.688 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 IPCsSum: 6.018 - 7.555 = - 1.537 IPCs damage/StB
1942.2 OOB SBR rules: 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% * ((2+12) IPCs)/2= +7 IPCs) = + 2.536 IPCs
1x Bombard on IC: 22360/46656= 47.925% * ((1+6) IPCs)/2= +3.5 IPCs) = +1.677 IPCs
Killing 2 Fgs: 2.778%+20 IPCs = + 0.556 IPC
Killing 1 Fg: 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 IPCsSum: +7.547 - 9.556 = - 2.009 IPCs damage/StB
OOB 1942.2: 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 Fg25/362/61/6 = 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 allResults:
Bombard on IC: 1080/1296 = 83.333% * ((1+6) IPCs)/2= +3.5 IPCs) = + 2.917 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 IPCsSum: + 5.973 - 5.159 = + 0.814 IPCs damage/SBR run
1942.2 OOB SBR rules: 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% * ((2+12) IPCs)/2= +7 IPCs) = + 3.736 IPCs
1x Bombard on IC: 3160/7776= 40.638% * ((1+6) IPCs)/2= +3.5 IPCs) = +1.422 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 IPCsSum: + 8.214 - 6.315 = + 1.899 IPCs damage/SBR run
OOB G1940: 1 StB A1 doing SBR against 2 intercepting Fgs D1
StB roll / interceptors Fgs roll / AAA roll = odds casualties
1/611/366/6= 66/1296 1 StB killed by Fgs vs 1 Fg : 5.09%
1/625/361/6 = 25/1296 1 StB killed by AAA vs 1 Fg : 1.93%
1/625/365/6 = 125/1296 no casualty vs 1 Fg : 9.65%5/611/366/6 = 330/1296 1 StB killed by Fgs vs no casualty : 25.46%
5/625/361/6 = 125/1296 1 StB killed by AAA vs no casualty : 9.65%
5/625/365/6 = 625/1296 no casualty at all : 48.22%Results:
Bombard on IC: 57.87% * ((1+2) +(6+2) IPCs)/2= +5.5 IPCs) = 3.183 IPCs
Killing 1 Fg: 16.67% +10 IPCs = + 1.667 IPCs
StB killed: 42.13%-12 IPCs = - 5.056 IPCsSum: + 4.85 - 5.056 = - 0.206 IPCs damage/StB run
G1940: 1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
1/361/366/6 = 6/7776 1 Fg and 1 StB killed by Fg vs 2 Fgs : .1%
1/3610/361/6 = 10/7776 1 Fg and 1 StB killed by AAA vs 2 Fgs : .1%
1/3610/365/6 = 50/7776 1 Fg vs 2 Fgs : .6%
1/3625/361/6 = 25/7776 1 StB killed by AAA vs 2 Fgs : .3%
1/3625/365/6 =125/7776 no casualty vs 2 Fgs : 1.6%10/361/366/6 = 60/7776 1 Fg and 1 StB killed by Fg vs 1 Fg : .8%
10/3610/361/6= 100/7776 1 Fg and 1 StB killed by AAA vs 1 Fg : 1.3%
10/3610/365/6 = 500/7776 1 Fg vs 1 Fg : 6.4%
10/3625/361/6 = 250/7776 1 StB killed by AAA vs 1 Fg : 3.2%
10/3625/365/6 = 1250/7776 no casualty vs 1 Fg : 16.1%25/361/366/6 = 150/7776 1 Fg and 1 StB killed by Fg vs no casualty : 1.9%
25/3610/361/6 = 250/7776 1 Fg and 1 StB killed by AAA vs no casualty : 3.2%
25/3610/365/6 = 1250/7776 1 Fg vs no casualty : 16.1%
25/3625/361/6 = 625/7776 1 StB killed by AAA vs no casualty : 8.1%
25/3625/365/6 = 3125/7776 no casualty at all : 40.2%Results:
Bombard on IC: 81% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = 4.455 IPCs
Killing 2 Fgs: 2.7%+20 IPCs = + 0.54 IPC
Killing 1 Fg: 27.8% +10 IPCs = + 2.78 IPCs
Fg killed: 23.1%-10 IPCs = - 2.31 IPCs
StB killed: 11.6%-12 IPCs = - 1.392 IPCs
StB & Fg killed: 7.4%*-22 IPCs = - 1.628 IPCsSum: 7.775 - 5.33 = + 2.445 IPCs damage/StB
So, compared to 1942.2, each SBR round on 1:1 StB & Fg vs 2 Fgs interceptors, each SBR round in G40 is + 3.982 IPC / StB better.
G40: 2 StBs A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2/StB
StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
1/361/3636/36 = 36/46656 2 StB killed by Fgs vs 2 Fgs killed : 0.077%
1/3610/366/36 = 60/46656 1 StB killed by Fgs and 1 StB killed by AAA vs 2 Fgs : 0.129%
1/3610/3630/36 = 300/46656 1 StB killed by Fg vs 2 Fgs : 0.643%
1/3625/361/36 = 25/46656 2 StB killed by AAA vs 2 Fgs : .0.054%
1/3625/3610/36 = 250/46656 1 StB killed by AAA vs 2 Fgs : 0.536%
1/3625/3625/36 = 625/46656 no casualty vs 2 Fgs : 1.34%10/361/3636/36 = 360/46656 2 StBs killed by Fgs vs 1 Fg killed: 0.772%
10/3610/366/36= 600/46656 1 StB killed by Fgs and 1 StB killed by AAA vs 1 Fg : 1.286%
10/3610/3630/36 = 3000/46656 1 StB killed by Fgs vs 1 Fg : 6.43%
10/3625/361/36 = 250/46656 2 StBs killed by AAA vs 1 Fg : 0.536%
10/3625/3610/36 = 2500/46656 1 StB killed by AAA vs 1 Fg :5.358%
10/3625/3625/36 = 6250/46656 no casualty vs 1 Fg : 13.396%25/361/3636/36 = 900/46656 2 StBs killed by Fg vs no casualty : 1.929%
25/3610/366/36 = 1500/46656 1 StB killed by Fg and 1 StB killed by AAA vs no casualty : 3.215%
25/3610/3630/36 = 7500/46656 1 StB killed by Fg vs no casualty : 16.075%
25/3625/361/36 = 625/46656 2 StBs killed by AAA vs no casualty : 1.34%
25/3625/3610/36 = 6250/46656 1 StB killed by AAA vs no casualty : 13.396%
25/3625/3625/36 = 15625/46656 no casualty at all : 33.49%Results:
2x Bombard on IC: 48.226% * ((6+16) IPCs)/2= +11 IPCs) = + 5.305 IPCs
1x Bombard on IC: 42.438% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.334 IPCs
Killing 2 Fgs: 2.778%+20 IPCs = + 0.556 IPC
Killing 1 Fg: 27.78% +10 IPCs = + 2.778 IPCs
1 StB killed: 42.438%-12 IPCs = - 2.241 IPCs
2 StBs killed: 9.338%-24 IPCs = - 5.093 IPCsSum: +10.973 - 7.334 = + 3.639 IPCs damage/StB
G40 SBR: 1 StB & 1 Fg A1 doing SBR against 1 intercepting Fgs D1
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 : 1.3%
11/361/65/6 = 55/1296 1 Fg vs 1 Fg : 6.4%
11/365/61/6 = 55/1296 1 StB killed by AAA vs 1 Fg : 3.2%
11/365/65/6 = 275/1296 no casualty vs 1 Fg : 16.1%25/361/61/6 = 25/1296 1 Fg and 1 StB killed by AAA vs no casualty : 1.9%
25/361/65/6 = 125/1296 1 Fg vs no casualty : 16.1%
25/365/61/6 = 125/1296 1 StB killed by AAA vs no casualty : 8.1%
25/365/65/6 = 625/1296 no casualty at all : 40.2%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 IPCsSum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run
G40 SBR : 2 StBs A1 doing SBR against 1 intercepting Fgs D1
StB rolls/interceptors Fgs roll/ AAA roll = odds casualties
11/361/66/36= 66/7776 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
11/361/630/36 = 330/7776 1 StB killed by Fg vs 1 Fg
11/365/61/36 = 55/7776 2 StBs killed by AAA vs 1 Fg
11/365/610/36 = 550/7776 1 StB killed by AAA vs 1 Fg
11/365/625/36 = 1375/7776 no casualty vs 1 Fg25/361/66/36 = 150/7776 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
25/361/630/36 = 750/7776 1 StB killed by Fg vs no casualty
25/365/61/36 = 125/7776 2 StBs killed by AAA vs no casualty
25/365/610/36 = 1250/7776 1 StB killed by AAA vs no casualty
25/365/625/36 = 3125/7776 no casualty at allResults:
2x Bombard on IC:4500/7776 = 57.87% * ((6+16) IPCs)/2= +11 IPCs) = + 6.366 IPCs
1x Bombard on IC: 2880/7776 = 37.037% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.037 IPCs
Killing 1 Fg: 2376/7776 = 30.556% +10 IPCs = + 3.056 IPCs
1 StB killed: 2880/7776 = 37.037 %-12 IPCs = - 4.444 IPCs
2 StBs killed: 396/7776 = 5.093%*-24 IPCs = - 1.222 IPCsSum: +11.459 - 5.666 = + 5.793 IPCs damage/SBR run
-
Triple A OOB SBR rules for 1942.2
Strategic Bomber
Attack 1
Damage 1D6
Cost 12Fighter
Attack 1
Defense 1
Cost 10
Triple A SBR for 1942.2:
1 StB doing SBR without interceptor
Sum: +2.917 - 2 = +0.917 IPC damage/SBR run1 StB A1 against 1 Fg D1
Sum: +3.69 - 3.667 = + 0.023 IPC damage/SBR run1 StB A1 doing SBR against 2 intercepting Fgs D1
Sum: + 2.025 - 5.056 = - 3.031 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
Sum: +6.155 - 5.33 = + 0.825 IPC damage/SBR run2 StBs A1 doing SBR against 2 intercepting Fgs D1
Sum: +8.195 - 7.334 = + 0.861 IPC damage/SBR run1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
Sum: + 5.973 - 3.667 = + 2.306 IPCs damage/SBR run2 StBs A1 doing SBR against 1 intercepting Fg D1
Sum: +8.403 - 5.666 = + 2.737 IPCs damage/StB
@Baron:
So on 1:1 basis ratio, such as 1 StB & 1 Fg vs 2 Fgs interceptors, each SBR in OOB G40 compared to OOB 1942.2 SBR get a + 3.982 IPC / StB.
So based on this basic ratio of 1 StB+ 1 escorting Fg against 2 Fgs interceptors, which is better positive for G40: + 2.445 IPCs damage/StB while it is negative for 1942.2: - 1.537 IPCs damage/StB.
Are you convinced now that from the attacker POV, a 1942.2 game should probably use the G40 SBR rules to give a real incentive to make such attack? (As triple A software implemented it.)
Here is the maths of Triple A SBR : each plane get @1 and StB get 1D6 damage.
Triple A 1942.2: 1 StB doing SBR without interceptor
5/6 StB survived * 3.5 IPCs = 2.917 IPCs
1/6 StB killed *12 IPCs = -2 IPCsSum: +2.917 - 2 = +0.917 IPCs damage/StB
Triple A SBR 1942.2: 1 StB A1 vs 1 Fg D1 / damage 1D6
StB roll / Fg roll / AAA roll = odds casualties
116= 6/216 1 StB killed by Fg vs 1 Fg killed: 2.8%
151= 5/216 1 StB killed by AAA vs 1 Fg killed: 2.3%
155= 25/216 no casualty vs 1 Fg killed: 11.6%516= 30/216 StB killed by Fg: 13.9%
551= 25/216 StB killed by AAA: 11.6%
555= 125/216 both survived: 57.8%Results:
57.8% * ((1+2)+(6+2)/2) IPCs= + 3.5 IPCs) = 2.023 IPCs
16.7% killing Fg *+10 IPCs = + 1.667 IPC
30.6% StB killed *-12 IPCs = - 3.667 IPCsSum: 3.69 - 3.667 = + 0.023 IPC. damage/SBR run
Triple A SBR 1942.2 : 1 StB A1 doing SBR against 2 intercepting Fgs D1 / damage 1D6
StB roll / interceptors Fgs roll / AAA roll = odds casualties
1/611/366/6= 66/1296 1 StB killed by Fgs vs 1 Fg : 5.09%
1/625/361/6 = 25/1296 1 StB killed by AAA vs 1 Fg : 1.93%
1/625/365/6 = 125/1296 no casualty vs 1 Fg : 9.65%5/611/366/6 = 330/1296 1 StB killed by Fgs vs no casualty : 25.46%
5/625/361/6 = 125/1296 1 StB killed by AAA vs no casualty : 9.65%
5/625/365/6 = 625/1296 no casualty at all : 48.22%Results:
Bombard on IC: 57.87% * ((1+6) IPCs)/2= +3.5 IPCs) = + 2.025 IPCs
Killing 1 Fg: 16.67% +10 IPCs = + 1.667 IPCs
StB killed: 42.13%-12 IPCs = - 5.056 IPCsSum: + 2.025 - 5.056 = - 3.031 IPCs damage/SBR run
Triple A SBR 1942.2: 1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
1/361/366/6 = 6/7776 1 Fg and 1 StB killed by Fg vs 2 Fgs : .1%
1/3610/361/6 = 10/7776 1 Fg and 1 StB killed by AAA vs 2 Fgs : .1%
1/3610/365/6 = 50/7776 1 Fg vs 2 Fgs : .6%
1/3625/361/6 = 25/7776 1 StB killed by AAA vs 2 Fgs : .3%
1/3625/365/6 =125/7776 no casualty vs 2 Fgs : 1.6%10/361/366/6 = 60/7776 1 Fg and 1 StB killed by Fg vs 1 Fg : .8%
10/3610/361/6= 100/7776 1 Fg and 1 StB killed by AAA vs 1 Fg : 1.3%
10/3610/365/6 = 500/7776 1 Fg vs 1 Fg : 6.4%
10/3625/361/6 = 250/7776 1 StB killed by AAA vs 1 Fg : 3.2%
10/3625/365/6 = 1250/7776 no casualty vs 1 Fg : 16.1%25/361/366/6 = 150/7776 1 Fg and 1 StB killed by Fg vs no casualty : 1.9%
25/3610/361/6 = 250/7776 1 Fg and 1 StB killed by AAA vs no casualty : 3.2%
25/3610/365/6 = 1250/7776 1 Fg vs no casualty : 16.1%
25/3625/361/6 = 625/7776 1 StB killed by AAA vs no casualty : 8.1%
25/3625/365/6 = 3125/7776 no casualty at all : 40.2%Results:
Bombard on IC: 81% * ((1+6) IPCs)/2= +3.5 IPCs) = 2.835 IPCs
Killing 2 Fgs: 2.7%+20 IPCs = + 0.54 IPC
Killing 1 Fg: 27.8% +10 IPCs = + 2.78 IPCs
Fg killed: 23.1%-10 IPCs = - 2.31 IPCs
StB killed: 11.6%-12 IPCs = - 1.392 IPCs
StB & Fg killed: 7.4%*-22 IPCs = - 1.628 IPCsSum: 6.155 - 5.33 = + 0.825 IPCs damage/SBR run
Triple A SBR 1942.2: 1 StB & 1 Fg A1 doing SBR against 1 intercepting Fgs D1
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 : 1.3%
11/361/65/6 = 55/1296 1 Fg vs 1 Fg : 6.4%
11/365/61/6 = 55/1296 1 StB killed by AAA vs 1 Fg : 3.2%
11/365/65/6 = 275/1296 no casualty vs 1 Fg : 16.1%25/361/61/6 = 25/1296 1 Fg and 1 StB killed by AAA vs no casualty : 1.9%
25/361/65/6 = 125/1296 1 Fg vs no casualty : 16.1%
25/365/61/6 = 125/1296 1 StB killed by AAA vs no casualty : 8.1%
25/365/65/6 = 625/1296 no casualty at all : 40.2%Results:
Bombard on IC: 1080/1296 = 83.333% * ((1+6) IPCs)/2= +3.5 IPCs) = + 2.917 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 IPCsSum: + 5.973 - 3.667 = + 2.306 IPCs damage/SBR run
@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
StB rolls/interceptors Fgs roll/ AAA roll = odds casualties
1/361/3636/36 = 36/46656 2 StB killed by Fgs vs 2 Fgs killed : 0.077%
1/3610/366/36 = 60/46656 1 StB killed by Fgs and 1 StB killed by AAA vs 2 Fgs : 0.129%
1/3610/3630/36 = 300/46656 1 StB killed by Fg vs 2 Fgs : 0.643%
1/3625/361/36 = 25/46656 2 StB killed by AAA vs 2 Fgs : .0.054%
1/3625/3610/36 = 250/46656 1 StB killed by AAA vs 2 Fgs : 0.536%
1/3625/3625/36 = 625/46656 no casualty vs 2 Fgs : 1.34%10/361/3636/36 = 360/46656 2 StBs killed by Fgs vs 1 Fg killed: 0.772%
10/3610/366/36= 600/46656 1 StB killed by Fgs and 1 StB killed by AAA vs 1 Fg : 1.286%
10/3610/3630/36 = 3000/46656 1 StB killed by Fgs vs 1 Fg : 6.43%
10/3625/361/36 = 250/46656 2 StBs killed by AAA vs 1 Fg : 0.536%
10/3625/3610/36 = 2500/46656 1 StB killed by AAA vs 1 Fg :5.358%
10/3625/3625/36 = 6250/46656 no casualty vs 1 Fg : 13.396%25/361/3636/36 = 900/46656 2 StBs killed by Fg vs no casualty : 1.929%
25/3610/366/36 = 1500/46656 1 StB killed by Fg and 1 StB killed by AAA vs no casualty : 3.215%
25/3610/3630/36 = 7500/46656 1 StB killed by Fg vs no casualty : 16.075%
25/3625/361/36 = 625/46656 2 StBs killed by AAA vs no casualty : 1.34%
25/3625/3610/36 = 6250/46656 1 StB killed by AAA vs no casualty : 13.396%
25/3625/3625/36 = 15625/46656 no casualty at all : 33.49%Results:
2x Bombard on IC: 48.226% * ((2+12) IPCs)/2= +7 IPCs) = 3.376 IPCs
1x Bombard on IC: 42.438% * ((1+6) IPCs)/2= +3.5 IPCs) = 1.485 IPCs
Killing 2 Fgs: 2.778%+20 IPCs = + 0.556 IPC
Killing 1 Fg: 27.78% +10 IPCs = + 2.778 IPCs
1 StB killed: 42.438%-12 IPCs = - 2.241 IPCs
2 StBs killed: 9.338%-24 IPCs = - 5.093 IPCsSum: +8.195 - 7.334 = + 0.861 IPCs damage/StB
Triple A SBR 1942.2: 2 StBs A1 doing SBR against 1 intercepting Fgs D1
StB rolls/interceptors Fgs roll/ AAA roll = odds casualties
11/361/66/36= 66/7776 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
11/361/630/36 = 330/7776 1 StB killed by Fg vs 1 Fg
11/365/61/36 = 55/7776 2 StBs killed by AAA vs 1 Fg
11/365/610/36 = 550/7776 1 StB killed by AAA vs 1 Fg
11/365/625/36 = 1375/7776 no casualty vs 1 Fg25/361/66/36 = 150/7776 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
25/361/630/36 = 750/7776 1 StB killed by Fg vs no casualty
25/365/61/36 = 125/7776 2 StBs killed by AAA vs no casualty
25/365/610/36 = 1250/7776 1 StB killed by AAA vs no casualty
25/365/625/36 = 3125/7776 no casualty at allResults:
2x Bombard on IC: 4500/7776 = 57.87% * ((2+12) IPCs)/2= +7 IPCs) = + 4.051 IPCs
1x Bombard on IC: 2880/7776 = 37.037% * ((1+6) IPCs)/2= +3.5 IPCs) = + 1.296 IPCs
Killing 1 Fg: 2376/7776 = 30.556% +10 IPCs = + 3.056 IPCs
1 StB killed: 2880/7776 = 37.037 %-12 IPCs = - 4.444 IPCs
2 StBs killed: 396/7776 = 5.093%*-24 IPCs = - 1.222 IPCsSum: +8.403 - 5.666 = + 2.737 IPCs damage/StB
-
1942.2 SBR HR#1, simpler
Strategic Bomber
Attack 0
Damage 1D6, 1D6+2, 1D6+3
Cost 12Fighter
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+2Fighter in air-to-air combat SBR:
Attack 1
Defend 1IC’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 IPCsD6: +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
5/61/6 = 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 IPCsD6: + 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
25/361/6 = 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 IPCsD6: + 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 Fg5/620/366/6 = 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 allResults:
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 IPCsD6: +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 Fg5/61/61/6 = 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 allResults:
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 IPCD6: +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
10/366/36 = 60/1296 1 StB killed by Fg and 1 StB killed by AAA
10/6*30/36= 300/1296 1 StB killed by Fg25/361/36 = 25/1296 2 StBs killed by AAA
25/3610/36 = 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 IPCsD6: +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
1/630/36= 30/216 1 StB killed by Fg
5/61/36 = 5/216 2 StBs killed by AAA
5/610/36 = 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 IPCsD6: + 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 IPCs1 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 = -1.2361 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 IPCs1 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 IPCs2 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 IPCs1 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 IPCs2 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 run1 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 run1 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 run1 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 run2 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 run1 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 run2 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 -
G40.2 HR
Bomber A1 Damage: 1D6+2Fighter A1 D1 First Strike
-
G40.2 SBR HR
Bomber A1 Damage: 1D6+2Fighter A1 First Strike D1 First Strike
@Baron:
I’m looking for a balance but more historical way of doing G40 SBR.
- 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?
-
Another way was to give @1 first strike only to defending interceptors.
-
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 IPCsSum: 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 killed516= 30/216 StB killed by Fg
551= 25/216 StB killed by AAA
555= 125/216 both survivedResults:
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 IPCsSum: + 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 killed5116= 330/216 StB killed by Fg
5251= 125/216 StB killed by AAA
5255= 625/216 both survivedResults:
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 = - 5.056IPCsSum: + 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 casualty10/361/361/6 = 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 casualty25/361/361/6 = 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 allResults:
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 IPCsSum: + 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 Fg25/361/61/6 = 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 allResults:
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 IPCsSum: + 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
1615 = 30/1296 1 Fg killed vs 1 Fg
1651 = 30/1296 1 Fg killed and 1 StB killed by AAA vs no casualty
1655 = 150/1296 1 Fg killed vs no casualty5161 = 30/1296 1 StB killed by AAA vs 1 Fg
5165 = 150/1296 no casualty vs 1 Fg
5511 = 25/1296 1 StB killed by AAA vs 1 Fg
5515 = 125/1296 no casualty vs 1 Fg
5551 = 125/1296 1 StB killed by AAA vs no casualty
5555 = 625/1296 no casualty at allResults:
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 IPCsSum: + 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 casualty251/361= 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 allResults:
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 run2 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 casualty511/361= 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 allResults:
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 casualtiesFg 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 casualty51/61= 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 allResults:
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
1561= 30/1296 1 StB killed by AAA vs 1 Fg killed
156*5= 150/1296 no casualty vs 1 Fg killed5166= 180/1296 StB killed by Fg
5516= 150/1296 StB killed by Fg 2nd cycle
5551= 125/1296 StB killed by AAA
5555= 625/1296 no casualty at allResults:
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 IPCsSum: + 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
1/625/366/366/6= 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
1/625/3630/365/6 = 3750/46656 no casualty vs 1 Fg5/611/3636/366/6 = 11880/46656 1 StB killed by Fgs vs no casualty
5/625/3611/366/6 = 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
5/625/3625/365/6 = 15625/46656 no casualty at allResults:
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 IPCsSum: + 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/StB1 StB A1 against 1 Fg D1 first strike
Sum: + 5.208 - 3.667 = + 1.541 IPC damage/SBR run1 StB A1 against 2 Fgs D1 first strike
Sum: + 4.340 - 5.056 = - 0.716 IPC damage/SBR run1 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 run2 StB A1 against 2 Fgs D1 first strike
Sum: + 10.417 - 7.334 = + 3.083 IPCs damage/SBR run1 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 run2 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 casualtiesSum: + 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 runG40 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 run1 StB A1 against 1 Fg D1 damage: 1D6+2
Sum: + 5.486 - 3.667 = + 1.819 IPC damage/SBR run1 StB A1 doing SBR against 2 intercepting Fgs D1
Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run2 StBs A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run2 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 run1 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 run1 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 run1 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 run2 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 run1 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 run2 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 - The first thing I got in mind was to simply give all Fgs a preemptive first strike A/D @1.
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G40.2 SBR HR
Bomber A1 Damage: 1D6+2Fighter A1 First Strike D2
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G40.2 SBR HR
Bomber A1 Damage: 1D6+2Fighter 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:
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they are flying over a known homeland territory,
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pilots have spent less time in the air, are more focussed and less tired,
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planes have plenty of fuel and less restricted on combat maneuver than attacking escorts fighters,
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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 runG1940: 1 StB A1 doing SBR against 1 Fg D1 / damage 1D6+2
Sum: + 4.845 - 3.666 = + 1.179 IPC. damage/SBR runG40: 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 runG40: 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/StBTriple A SBR 1942.2: 1 StB A1 vs 1 Fg D1
Sum: +3.69 - 3.667 = + 0.023 IPC damage/SBR runTriple 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 runTriple 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 runOOB 1942.2: 1 StB A1 first strike vs 1 Fg D2
Sum: + 3.8 - 4.8 = - 1 IPC damage/SBR runOOB 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 runOOB 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.
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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.
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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 IPCsSum: + 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 Fg5/620/366/6 = 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 allResults:
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 IPCsSum: +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 IPCsSum: + 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 IPCsSum: +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 Fg25/362/61/6 = 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 allResults:
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 IPCsSum: + 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 Fg25/362/66/36 = 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 allResults:
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 IPCsSum: +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 casualties1/62/66/36 = 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 Fg5/62/66/36 = 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 allResults:
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 IPCsSum: +9.306 - 7.334 = + 1.972 IPCs damage/SBR run
-
-
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 run1 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 IPCRegular 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 killed520/366= 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 allResults:
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 IPCsSum: 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 IPCsSum: +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 Fg25/362/61/6 = 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 allResults:
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 IPCsSum: + 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 IPCsSum: + 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 Fg125/2162/66/216 = 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 allResults:
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 IPCsSum: + 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#msg1311386Each 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 run1 StB A1 first strike vs 1 Fg D2
Sum: +4.977 - 4.778 = +0.199 IPC damage/StB1 StB A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: + 3.874 - 7.185 = -3.311 IPCs damage/SBR1 StB & 1 Fg A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: +7.557 - 7.556 = +0.001 IPCs damage/StB2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: +9.954 - 9.556 = +0.398 IPC damage/StB1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fgs D2
Sum: +7.639 - 5.159 = + 2.480 IPCs damage/SBR run2 StBs A1 first strike doing SBR against 1 intercepting Fgs D2
Sum: +11.162 - 6.315 = + 4.847 IPCs damage/SBR runG40 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 Same1 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 run1 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 run1 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 run2 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 run1 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 run2 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
-
G40.2 SBR HR
Bomber A1 Damage: 2D6
Fighter A1 D2
@Baron:
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 runG40 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 runG40 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 runG40 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 runG40 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 runG40 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 runG40 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 run1 StB A1 against 1 Fg D1
Sum: + 5.486 - 3.667 = + 1.819 IPC damage/SBR run1 StB A1 doing SBR against 2 intercepting Fgs D1
Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run2 StBs A1 doing SBR against 2 intercepting Fgs D1
Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run2 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 run1 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 run1 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 run1 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 run2 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 run1 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 run2 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 run1 StB A1 first strike against 1 Fg D2
Sum: + 3.8 - 4.8 = - 1 IPC damage/SBR run1 StB A1 first strike doing SBR against 2 intercepting Fgs D2 / damage 1D6
Sum: + 3.071 - 7.185 = - 4.114 IPC. damage/SBR run1 StB & 1 Fg A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: + 6.018 - 7.555 = - 1.537 IPCs damage/SBR run2 StBs A1 first strike doing SBR against 2 intercepting Fgs D2
Sum: +7.547 - 9.556 = - 2.009 IPCs damage/SBR run1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D2
Sum: + 5.973 - 5.159 = + 0.814 IPCs damage/SBR run2 StBs A1 first strike doing SBR against 1 intercepting Fg D2
Sum: + 8.214 - 6.315 = + 1.899 IPCs damage/SBR runThere is many statistical tables in this thread to compare with various SBR system.
http://www.axisandallies.org/forums/index.php?topic=34118.msg1311386#msg13113861942.2 SBR House Rules :
1 StB doing SBR without interceptor, damage 1D6+2
Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run1 StB A1 regular vs 1 Fg D2
Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR run1 StB A1 regular doing SBR against 2 intercepting Fgs D2
Sum: +3.704 - 7.556 = - 3.852 IPCs damage/SBR run1 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 run2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
Sum: +9.445 - 10.667 = - 1.222 IPCs damage/SBR run1 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 run2 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 IPCsSum: + 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 Fg5/620/366/6 = 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 allResults:
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 IPCsSum: +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 Fgs10/364/366/6 = 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 Fg25/364/366/6 = 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 allResults:
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 IPCsSum: + 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 IPCsSum: +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 Fg25/362/61/6 = 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 allResults:
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 IPCsSum: + 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 Fg25/362/66/36 = 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 allResults:
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 IPCsSum: +10.639 - 7.334 = + 3.304 IPCs damage/SBR run Sum: +12.722 - 7.334 = + 5.388 IPCs damage/SBR run
-
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 IPCFirst 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 -
G40.2 SBR HR
Bomber A1 Damage: 1D6+2 / 1D6+3 / 2D6Fighter A2 D2
@Baron:
Strategic Bomber in air-to-air combat SBR:
Attack 1
Bombard IC or AB or NB damage: 2D6Fighter in air-to-air combat SBR:
Attack 2
Defend 2Tactical Bomber in air-to-air combat SBR:
Attack 1
Bombard AB or NB damage: 1D6IC’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/SBRG40 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/SBRG40 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/SBRG40 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/SBRG40 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/SBRG40 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/SBRG40 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/SBRGlobal40 SBR HRules : 2 StBs doing SBR without interceptor, damage D6+2 Â / 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 Â Sum: + 5.833 - 2 = +3.833 IPCs damage/SBRG40 SBR HRules :1 StB A1 regular vs 1 Fg D2
Sum: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR Â Sum: + 5.556 - 5.333 = + 0.223 IPC. damage/SBRG40 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/SBRG40 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/SBRG40 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/SBRG40 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/SBRG40 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/SBRGlobal40 SBR HRules : 2 StBs doing SBR without interceptor, damage D6+2 Â / HR SBR = Damage 2D6 (avg 7 IPCs)
Sum: + 9.166 - 4 = +5.166 IPCs damage/SBR Â 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 Â / 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 IPCsSum: + 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 Fg5/620/366/6 = 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 allResults:
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 IPCsSum: +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 Fgs14/364/366/6 = 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 Fg20/364/366/6 = 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 allResults:
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 IPCsSum: + 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 IPCsSum: +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 Fg20/362/61/6 = 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 allResults:
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 IPCsSum: + 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 Fg25/362/66/36 = 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 allResults:
2x Bombard on IC: 3600/7776= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs / +13 IPCs=+6.018 Â / +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 IPCsSum: +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
-
G40.2 SBR HR
Bomber A1 Damage: 2D6Fighter 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 D2StB+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
1/366/616/361/6 = 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
1/366/616/361/6 = 96/46656 1 StB killed by AAA vs 2 Fgs
1/366/616/36*5/6 = 480/46656 no casualty vs 2 Fgs10/362/64/366/6 = 480/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
10/362/616/361/6 = 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
10/362/616/361/6 = 320/46656 1 StB killed by AAA vs 2 Fgs
10/362/616/36*5/6 = 1600/46656 no casualty vs 2 Fgs10/364/64/366/6 = 960/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
10/364/616/361/6 = 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
10/364/616/361/6 = 640/46656 1 StB killed by AAA vs 1 Fg
10/364/616/36*5/6 = 3200/46656 no casualty vs 1 Fg25/362/64/366/6 = 1200/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
25/362/616/361/6 = 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
25/362/616/361/6 = 800/46656 1 StB killed by AAA vs 1 Fg
25/362/616/36*5/6 = 4000/46656 no casualty vs 1 Fg25/364/64/366/6 = 2400/46656 1 Fg and 1 StB killed by Fgs vs no
25/364/616/361/6 = 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
25/364/616/361/6 = 1600/46656 1 StB killed by AAA vs no
25/364/616/36*5/6 = 8000/46656 no casualty at allResults:
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 IPCsD6+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 casualties1/3620/366/6 = 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 Fg10/3620/366/6 = 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 Fg25/3620/366/6 = 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 allResults:
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 IPCsD6+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 casualties1/3636/361/6= 36/7776 1 StB killed by AAA vs 2 Fg
1/3636/365/6 = 180/7776 no casualty vs 2 Fg10/366/366/6 = 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 Fg25/3620/366/6 = 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 allResults:
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 IPCRegular 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 Fg5/62/66/36 = 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 allResults:
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 IPCsSum 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 Fg20/362/66/6 = 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 allResults:
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 IPCsD6+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
1/366/616/366/6 = 576/46656 1 StB killed vs 2 Fgs
1/366/616/361/6 = 96/46656 1 StB killed by AAA vs 2 Fgs
1/366/616/365/6 = 480/46656 no casualty vs 2 Fgs10/362/64/366/6 = 480/46656 1 Fg and 1 StB killed by Fgs vs 2 Fgs
10/362/616/366/6 = 1920/46656 1 StB killed vs 2 Fgs
10/362/616/361/6 = 320/46656 1 StB killed by AAA vs 2 Fgs
10/362/616/365/6 = 1600/46656 no casualty vs 2 Fgs10/364/64/366/6 = 960/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
10/364/616/366/6 = 3840/46656 1 StB killed vs 1 Fg
10/364/616/361/6 = 640/46656 1 StB killed by AAA vs 1 Fg
10/364/616/365/6 = 3200/46656 no casualty vs 1 Fg25/362/64/366/6 = 1200/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
25/362/616/366/6 = 4800/46656 1 StB killed vs 1 Fg
25/362/616/361/6 = 800/46656 1 StB killed by AAA vs 1 Fg
25/362/616/365/6 = 4000/46656 no casualty vs 1 Fg25/364/64/366/6 = 2400/46656 1 Fg and 1 StB killed by Fgs vs no
25/364/616/366/6 = 9600/46656 1 StB killed vs no
25/364/616/361/6 = 1600/46656 1 StB killed by AAA vs no
25/364/616/365/6 = 8000/46656 no casualty at allResults:
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 IPCRegular 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 Fg20/362/66/6 = 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 allResults:
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 IPCFirst 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
1/366/636/365/6 = 1080/46656 no casualty vs 2 Fgs10/362/612/366/6 = 1440/46656 1 StB killed by Fg vs 2 Fgs
10/362/624/361/6 = 480/46656 1 StB killed by AAA vs 2 Fgs
10/362/624/36*5/6 = 2400/46656 no casualty vs 2 Fgs10/364/612/366/6 = 2880/46656 1 StB killed by Fg vs 1 Fg
10/364/624/361/6 = 960/46656 1 StB killed by AAA vs 1 Fg
10/364/624/36*5/6 = 4800/46656 no casualty vs 1 Fg25/362/64/366/6 = 1200/46656 1 Fg and 1 StB killed by Fgs vs 1 Fg
25/362/616/366/6 = 4800/46656 1 StB killed vs 1 Fg
25/362/616/361/6 = 800/46656 1 StB killed by AAA vs 1 Fg
25/362/616/365/6 = 4000/46656 no casualty vs 1 Fg25/364/64/366/6 = 2400/46656 1 Fg and 1 StB killed by Fgs vs no
25/364/616/366/6 = 9600/46656 1 StB killed vs no
25/364/616/361/6 = 1600/46656 1 StB killed by AAA vs no
25/364/616/365/6 = 8000/46656 no casualty at allResults:
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 IPCFirst 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 Fg5/62/66/36 = 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 allResults:
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 IPCFirst 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 -
G40.2 SBR HR
Bomber A1 Damage: 1D6+2Fighter 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 runStB 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 runStB 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 runStB 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 runStB 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 runStB 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 runStB 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 runStB 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 IPCsSum: + 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 killed5/63/66/6= 90/216 StB killed by Fg
5/63/61/6= 15/216 StB killed by AAA
5/63/65/6= 75/216 both survivedResults:
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 runkilling 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 Fg5/627/366/6 = 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 allResults:
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 IPCsSum: +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 IPCsSum: +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 Fgs14/369/366/6 = 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 Fg20/369/366/6 = 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 allResults:
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 IPCsSum: + 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 IPCsSum: + 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 Fgs10/369/3636/36 = 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 Fg25/369/3636/36 = 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 allResults:
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 IPCsSum: +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 IPCsSum: +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 Fg20/363/61/6 = 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 allResults:
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 IPCsSum: + 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 IPCsSum: + 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 Fg25/363/66/36 = 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 allResults:
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 IPCsSum: +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 IPCsSum: +9.319 - 7.5 = + 1.819 IPCs damage/SBR run Sum: +11.194 - 7.5 = + 3.694 IPCs damage/SBR run**
-
G40.2 SBR HR
Bomber A1 Damage: 2D6Fighter A2 D3
-
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 12Fighter A1 D1
Cost 101 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
0.52612=
6.32 IPCs/10 IPCs = 0.632 off/def cost ratio**
G40.2 SBR HR
Bomber A0
Damage: 1D6+3
Cost 12Fighter A1 D1
Cost 101 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/SBR17= -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 12Fighter A2 D2
Cost 10A1fs as AAA vs up to 2, D6+2 vs D2
1 vs 1 0.19910= +1.990
1 vs 2 -0.6623= -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 12Fighter A1 D1
Cost 10StB 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 ratioA0 vs 1D1: + 3.819 - 3.667 = + 0.152 IPC25= +3.800
A0 vs 2D1: + 3.183 - 5.056 = - 1.873 IPC2= -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 12Fighter 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 IPC2= -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 12Fighter A1 First Strike D2
Cost 101942.2 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/SBR3= -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 12Fighter A1 D1
Cost 101 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 12Fighter A2 D2
Cost 102 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/SBR65= -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 12Fighter A2 D2
Cost 10StB A1 as AAA up to 2 Fg, D6+2 vs 1 Fg D2
2 vs 1 +1.9724= +7.888
1 vs 1 -0.6113= -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 12Fighter A1 First Strike D2
Cost 102 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/SBR19= -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 12Fighter A1 D1
Cost 103 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/SBR1
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 12Fighter A1 D1
Cost 103 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
2.33312=
28 IPCs/10 IPCs = 2.8 offense/defense IPCs ratio** -
G40.2 SBR HR
Bomber A1 Damage: 1D6+2
Cost 10Fighter A2 D3
Cost 8 -
G40.2 SBR HR
Bomber A1 Damage: 2D6
Cost 10Fighter A2 D3
Cost 8 -
1942.2 SBR HR
Bomber A1 Damage: 1D6+2
Cost 10Fighter A1 First Strike D2
Cost 8
Combined Arms: 1 Fighter gives First Strike to all attacking Bombers.
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