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 IPCs
Sum: 4.583 - 2 = +2.583 IPCs damage/StB
1 StB A1 against 1 Fg D1 first strike
StB roll / Fg roll / AAA roll = odds casualties
116= 6/216 1 StB killed by Fg vs no casualty
151= 5/216 1 StB killed by AAA vs 1 Fg killed
155= 25/216 no casualty vs 1 Fg killed
516= 30/216 StB killed by Fg
551= 25/216 StB killed by AAA
555= 125/216 both survived
Results:
Bombard IC: 150/216= 69.444% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = 3.819 IPCs
killing Fg: 30/216= 13.889% *+10 IPCs = + 1.389 IPC
StB killed: 66/216= 30.556% *-12 IPCs = - 3.667 IPCs
Sum: + 5.208 - 3.667 = + 1.541 IPC damage/SBR run
1 StB A1 against 2 Fgs D1 first strike
StB roll / Fg roll / AAA roll = odds casualties
1116= 66/216 1 StB killed by Fg vs no casualty
1251= 25/216 1 StB killed by AAA vs 1 Fg killed
1255= 125/216 no casualty vs 1 Fg killed
5116= 330/216 StB killed by Fg
5251= 125/216 StB killed by AAA
5255= 625/216 both survived
Results:
Bombard IC: 750/1296= 57.87% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = + 3.183 IPCs
killing 1 Fg: 150/1296= 11.574% *+10 IPCs = + 1.157 IPC
StB killed: 546/1296= 42.150% *-12 IPCs = - 5.056IPCs
Sum: + 4.340 - 5.056 = - 0.716 IPC damage/SBR run
1 StB A1 & 1 Fgs A1 first strike doing SBR against 2 intercepting Fg D1 first strike
Interceptors Fgs roll/ StB+Fg rolls/ AAA roll = odds casualties
1/366/366/6 = 36/7776 1 Fg and 1 StB killed by Fgs vs 1 Fg
1/3630/366/6 = 180/7776 1 Fg and 1 StB killed by Fgs vs no casualty
10/361/361/6 = 10/7776 1 Fg killed by Fgs and 1 StB killed by AAA vs 2 Fgs
10/361/365/6 = 50/7776 1 Fg killed by Fgs vs 2 Fgs
10/3610/361/6 = 100/7776 1 Fg killed by Fgs and 1 StB killed by AAA vs 1 Fg
10/3610/365/6 = 500/7776 1 Fg killed by Fgs vs 1 Fg
10/3625/361/6 = 250/7776 1 Fg killed by Fgs and 1 StB killed by AAA vs no casualty
10/3625/365/6 = 1250/7776 1 Fg killed by Fgs vs no casualty
25/361/361/6 = 25/7776 1 StB killed by AAA vs 2 Fgs
25/361/365/6 = 125/7776 no casualty vs 2 Fgs
25/3610/361/6 = 250/7776 1 StB killed by AAA vs 1 Fg
25/3610/365/6 = 1250/7776 no casualty vs 1 Fg
25/3625/361/6 = 625/7776 1 StB killed by AAA vs no casualty
25/3625/365/6 = 3125/7776 no casualty at all
Results:
Bombard on IC: 6300/7776 = 81.019% * ((3+8) IPCs)/2= +5.5 IPCs) = + 4.456 IPCs
Killing 1 Fg: 2136/7776 = 27.469%* +10 IPCs = + 2.747 IPCs
Killing 2 Fgs: 210/7776= 2.701* +20 IPCs = + 0.540 IPC
1 Fg killed: 2136/7776 = 27.469%* -10 IPCs = - 2.747 IPCs
StB killed: 900/7776 = 11.574%-12 IPCs = - 1.389 IPCs
StB & Fg killed: 576/7776 = 7.407%-22 IPCs = - 1.630 IPCs
Sum: + 7.743 - 5.766= + 1.977 IPCs damage/SBR run
1 StB A1 & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D1 first strike
StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
11/361/61/6 = 11/1296 1 Fg and 1 StB killed by AAA vs 1 Fg
11/361/65/6 = 55/1296 1 Fg vs 1 Fg
11/365/61/6 = 55/1296 1 StB killed by AAA vs 1 Fg
11/365/65/6 = 275/1296 no casualty vs 1 Fg
25/361/61/6 = 25/1296 1 Fg and 1 StB killed by AAA vs no casualty
25/361/65/6 = 125/1296 1 Fg vs no casualty
25/365/61/6 = 125/1296 1 StB killed by AAA vs no casualty
25/365/65/6 = 625/1296 no casualty at all
Results:
Bombard on IC: 1080/1296 = 83.333% * ((3+8) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs
Killing 1 Fg: 396/1296 = 30.556%* +10 IPCs = + 3.056 IPCs
Fg killed: 180/1296 = 13.889%* -10 IPCs = - 1.389 IPCs
StB killed: 180/1296 = 13.889%-12 IPCs = - 1.667 IPCs
StB & Fg killed: 36/1296 = 2.778%-22 IPCs = - 0.611 IPCs
Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run
G40 HR Fg A1 regular D1 first strike 1 StB & 1 Fg A1 regular doing SBR against 1 intercepting Fg D1 first strike
interceptor Fg roll / Fg roll/ StB roll/ AAA roll = odds casualties
1611 = 6/1296 1 Fg killed and 1 StB killed by AAA vs 1 Fg
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 casualty
5161 = 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 all
Results:
Bombard on IC: 1080/1296 = 83.333% * ((3+8) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs
Killing 1 Fg: 366/1296 = 28.241%* +10 IPCs = + 2.824 IPCs
Fg killed: 180/1296 = 13.889%* -10 IPCs = - 1.389 IPCs
StB killed: 180/1296 = 13.889%-12 IPCs = - 1.667 IPCs
StB & Fg killed: 36/1296 = 2.778%-22 IPCs = - 0.611 IPCs
Sum: + 7.407 - 3.667 = + 3.740 IPCs damage/SBR run
2 StB A1 against 2 Fgs D1 first strike
Fg roll / StBs roll / AAA roll = odds casualties
1/3636/3636/36= 1296/46656 2 StBs killed by Fgs vs no casualty
106/366/36= 360/46656 1 StB killed by Fg and 1 StB by AAA vs 1 Fg killed
106/3630/36= 1800/46656 1 StB killed by Fg vs 1 Fg killed
1030/366/36= 1800/46656 1 StB killed by Fg and 1 StB by AAA vs no casualty
1030/3630/36= 9000/46656 1 StB killed by Fg vs no casualty
251/361= 25/46656 2 StBs killed by AAA vs 2 Fgs
251/3610= 250/46656 1 StB killed by AAA vs 2 Fgs
251/3625= 625/46656 both survived vs 2 Fgs
2510/361= 250/46656 2 StBs killed by AAA vs 1 Fg
2510/3610= 2500/46656 1 StB killed by AAA vs 1 Fg
2510/3625= 6250/46656 both survived vs 1 Fg
2525/361= 625/46656 2 StBs killed by AAA vs no casualty
2525/3610= 6250/46656 1 StB killed by AAA vs no casualty
2525/3625= 15625/46656 no casualty at all
Results:
2x Bombard IC: 22500/46656= 48.225%* ((2+4)+(12+4)/2) IPCs = + 11 IPCs) = + 5.305 IPCs
1x Bombard IC: 19800/46656= 42.438% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = + 2.334 IPCs
Killing 1 Fg: 11160/46656= 23.920% *+10 IPCs = + 2.392 IPC
Killing 2 Fg: 900/46656= 1.929% * + 20 IPCs = + 0.386 IPCs
1 StB killed: 19800/46656= 42.438% *-12 IPCs = -5.093 IPCs
2 StB killed: 4356/46656 = 9.336% * -24 IPCs = -2.241 IPCs
Sum: + 10.417 - 7.334 = + 3.083 IPCs damage/SBR run
2 StB A1 against 1 Fg D1 first strike
Fg roll / StBs roll / AAA roll = odds casualties
16/366/36= 36/7776 1 StB killed by Fg and 1 StB by AAA vs 1 Fg killed
16/3630/36= 180/7776 1 StB killed by Fg vs 1 Fg killed
130/366/36= 180/7776 1 StB killed by Fg and 1 StB by AAA vs no casualty
130/3630/36= 900/7776 1 StB killed by Fg vs no casualty
511/361= 55/7776 2 StBs killed by AAA vs 1 Fg
511/3610= 550/7776 1 StB killed by AAA vs 1 Fg
511/3625= 1375/7776 both survived vs 1 Fg
525/361= 125/7776 2 StBs killed by AAA vs no casualty
525/3610= 1250/7776 1 StB killed by AAA vs no casualty
525/3625= 3125/7776 no casualty at all
Results:
2x Bombard IC: 4500/7776= 57.870%* ((2+4)+(12+4)/2) IPCs = + 11 IPCs) = + 6.366 IPCs
1x Bombard IC: 2880/7776= 37.037% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = + 2.037 IPCs
1 killing Fg: 2196/7776= 28.241% *+10 IPCs = + 2.824 IPC
1 StB killed: 2880/7776= 37.037% *-12 IPCs = - 4.444 IPCs
2 StB killed: 396/7776 = 5.093% * -24 IPCs = -1.222 IPCs
Sum: + 11.227 - 5.666 = + 5.561 IPCs damage/SBR run
G40 HR Fg A1 reg or first strike D1 first strike: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D1 first strike
With optionnal limitation rule: in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.
StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
Fg roll / StBs roll / AAA roll = odds casualties
11/66/36= 6/7776 1 StB killed by Fg and 1 StB by AAA vs 1 Fg killed
11/630/36=30/7776 1 StB killed by Fg vs 1 Fg killed
15/66/36= 30/7776 1 StB killed by Fg and 1 StB by AAA vs no casualty
15/630/36= 150/7776 1 StB killed by Fg vs no casualty
51/61= 5/7776 2 StBs killed by AAA vs 1 Fg
51/610= 50/7776 1 StB killed by AAA vs 1 Fg
51/625= 125/7776 both survived vs 1 Fg
55/61= 25/7776 2 StBs killed by AAA vs no casualty
55/610= 250/7776 1 StB killed by AAA vs no casualty
55/625= 625/7776 no casualty at all
Results:
2x Bombard IC: 750/1296= 57.870%* ((2+4)+(12+4)/2) IPCs = + 11 IPCs) = + 6.366 IPCs
1x Bombard IC: 480/1296= 37.037% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = + 2.037 IPCs
1 killing Fg: 216/1296= 16.667% *+10 IPCs = + 1.667 IPC
1 StB killed: 480/1296= 37.037% *-12 IPCs = - 4.444 IPCs
2 StB killed: 66/7776 = 5.093% * -24 IPCs = -1.222 IPCs
Sum: + 10.07 - 5.666 = + 4.404 IPCs damage/SBR run
G40 HR 2 defense cycles: 1 StB A1 against 1 Fg D1 for 2 combat cycles: making another defense roll @1 after the first cycle.
StB roll / Fg roll /Fg roll 2nd cycle/ AAA roll = odds casualties
1166= 36/1296 1 StB killed by Fg vs 1 Fg killed
1561= 30/1296 1 StB killed by AAA vs 1 Fg killed
156*5= 150/1296 no casualty vs 1 Fg killed
5166= 180/1296 StB killed by Fg
5516= 150/1296 StB killed by Fg 2nd cycle
5551= 125/1296 StB killed by AAA
5555= 625/1296 no casualty at all
Results:
Bombard IC: 775/1296 = 59.799% * ((1+2)+(6+2)/2) IPCs= + 5.5 IPCs) = 3.289 IPCs
killing Fg : 216/1296= 16.667% *+10 IPCs = + 1.667 IPC
StB killed: 521/1296= 40.201% *-12 IPCs = - 4.824 IPCs
Sum: + 4.956 - 4.824 = + 0.132 IPC damage/SBR run
G40 HR 2 defense cycles: 1 StB A1 against 2 intercepting Fgs D1 for 2 combat cycles: making another defense roll @1 after the first cycle.
StB roll / Fgs roll /Fgs roll 2nd cycle/ AAA roll = odds casualties
1/611/3636/366/6= 2376/46656 1 StB killed by Fgs vs 1 Fg
1/625/366/366/6= 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 Fg
5/611/3636/366/6 = 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 all
Results:
Bombard on IC: 19375/46656= 41.527% * ((1+2) +(6+2) IPCs)/2= +5.5 IPCs) = 2.284 IPCs
Killing 1 Fg: 7776/46656= 16.667% +10 IPCs = + 1.667 IPCs
StB killed: 27281/46656= 58.473%-12 IPCs = - 7.017 IPCs
Sum: + 3.951 - 7.017 = - 3.066 IPCs damage/SBR run
To be continued…
Summary:
G1940 HR SBR with Fg A/D@1 first strike:
1 StB doing SBR without interceptor
Sum: 4.583 - 2 = +2.583 IPCs damage/StB
1 StB A1 against 1 Fg D1 first strike
Sum: + 5.208 - 3.667 = + 1.541 IPC damage/SBR run
1 StB A1 against 2 Fgs D1 first strike
Sum: + 4.340 - 5.056 = - 0.716 IPC damage/SBR run
1 StB & 1 Fgs A1 first strike doing SBR against 2 intercepting Fg D1 first strike
Sum: + 7.743 - 5.766 = + 1.977 IPCs damage/SBR run
2 StB A1 against 2 Fgs D1 first strike
Sum: + 10.417 - 7.334 = + 3.083 IPCs damage/SBR run
1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D1 first strike
Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run
2 StB A1 against 1 Fg D1 first strike
Sum: + 11.227 - 5.666 = + 5.561 IPCs damage/SBR run
G40 HR Fg A1 regular D1 first strike
1 StB & 1 Fg A1 regular doing SBR against 1 intercepting Fg D1 first strike
Sum: + 7.407 - 3.667 = + 3.740 IPCs damage/SBR run
G40 HR Fg A1 regular or first strike D1 first strike: 2 StBs A1 regular doing SBR against 1 intercepting Fgs D1 first strike
With optionnal limitation rule: in air-to-air combat, bombers cannot get more rolls than the numbers of defending Fgs interceptors.
StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
Sum: + 10.07 - 5.666 = + 4.404 IPCs damage/SBR run
G40 HR 2 defense cycles: 1 StB A1 against 1 Fg D1 for 2 combat cycles: making another defense roll @1 after the first cycle.
Sum: + 4.956 - 4.824 = + 0.132 IPC damage/SBR run
G40 HR 2 defense cycles: 1 StB A1 against 2 intercepting Fgs D1 for 2 combat cycles: making another defense roll @1 after the first cycle.
Sum: + 3.951 - 7.017 = - 3.066 IPCs damage/SBR run
G1940 SBR:
1 StB doing SBR without interceptor
Sum: +4.583 - 2 = +2.583 IPCs damage/SBR run
1 StB A1 against 1 Fg D1 damage: 1D6+2
Sum: + 5.486 - 3.667 = + 1.819 IPC damage/SBR run
1 StB A1 doing SBR against 2 intercepting Fgs D1
Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR run
1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run
2 StBs A1 doing SBR against 2 intercepting Fgs D1 damage: 1D6+2
Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run
1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run
2 StBs A1 doing SBR against 1 intercepting Fg D1
Sum: +11.459 - 5.666 = + 5.793 IPCs damage/SBR run
Comparative summary:
G40 House Rule SBR giving all Fgs @1 first strike compared to G40 OOB SBR all planes @1.
G1940 HR SBR with Fg A/D@1 first strike:
1 StB doing SBR without interceptor
Sum: 4.583 - 2 = +2.583 IPCs damage/SBR run OOB: Sum: +4.583 - 2 = +2.583 IPCs damage/SBR run
1 StB A1 against 1 Fg D1 first strike
Sum: + 5.208 - 3.667 = + 1.541 IPC damage/SBR run OOB: Sum: + 5.486 - 3.667 = + 1.819 IPC damage/SBR run
1 StB A1 against 2 Fgs D1 first strike
Sum: + 4.340 - 5.056 = - 0.716 IPC damage/SBR run OOB: Sum: + 4.85 - 5.056 = - 0.206 IPCs damage/SBR run
1 StB & 1 Fgs A1 first strike doing SBR against 2 intercepting Fg D1 first strike
Sum: + 7.743 - 5.766= + 1.977 IPCs damage/SBR run OOB: Sum: +7.775 - 5.33 = + 2.445 IPCs damage/SBR run
2 StB A1 against 2 Fgs D1 first strike
Sum: + 10.417 - 7.334 = + 3.083 IPCs damage/SBR run OOB: Sum: +10.973 - 7.334 = + 3.639 IPCs damage/SBR run
1 StB & 1 Fg A1 first strike doing SBR against 1 intercepting Fg D1 first strike
Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run OOB: Sum: + 7.639 - 3.667 = + 3.972 IPCs damage/SBR run
2 StB A1 against 1 Fg D1 first strike
Sum: + 11.227 - 5.666 = + 5.561 IPCs damage/SBR run OOB: Sum: +11.459 - 5.666 = + 5.793 IPCs damage/SBR run