A better HR for making G40 SBR dogfight more appealing?

  • '17 '16

    Black Elk Strategic Bomber 5 IPC A1 D1

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

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

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

    IC’s AAA: @1 against each Strategic Bomber
    Naval Base or Air Base: @1 against each Strategic Bomber or Tactical bomber
    Break even ratio: 2 StBs A1 C8 vs 3 Fgs D2: 2/3= 0.667 Stb/Fg [Diff. -0.166]
    1 C8 vs 1 Fg 1D6+2: +4.723 - 3.556 = +1.167 IPCs damage/SBR1
    1 C8 vs 2 Fgs 1D6+2: +3.704 - 5.037 = -1.333 IPCs damage/SBR
    1


    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2 / damage 1D6

    5/6 StB survived *3.5 IPCs = +2.917 IPCs

    5/6 StB survived *5.5 IPCs = +4.583 IPCs

    1/6 StB killed *5 IPCs = -0.833 IPCs
    1/6 StB killed *6 IPCs = -1 IPCs
    1/6 StB killed *8 IPCs = -1.333 IPCs

    Cost 5
    1D6 (avg 3.5 IPCs): +2.917 - 0.833 = +2.084 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +4.583 - 0.833 = +3.750 IPCs damage/SBR
    Cost 6
    1D6 (avg 3.5 IPCs): +2.917 - 1 = +1.917 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +4.583 - 1 = +3.583 IPCs damage/SBR
    Cost 8
    1D6 (avg 3.5 IPCs): +2.917 - 1.333 = +1.584 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +4.583 - 1.333 = +3.250 IPCs damage/SBR
    G40 BMode
    1D6+2: + 4.583 - 2 = +2.583 IPCs damage/SBR run


    1 StB A1 regular vs 1 Fg D2
    Cost 5
    1D6: +3.611 - 2.222 = +1.389 IPCs damage/SBR
    1D6+2: +4.723 - 2.222 = +2.501 IPC damage/SBR
    Cost 6
    1D6: +3.611 - 2.667 = +0.944 IPCs damage/SBR
    1D6+2: +4.723 - 2.667 = +2.056 IPC damage/SBR
    Cost 8
    1D6: +3.611 - 3.556 = +0.055 IPC damage/SBR
    1D6+2: +4.723 - 3.556 = +1.167 IPCs damage/SBR
    G40 BMode
    1D6+2:+ 4.723 - 5.333 = - 0.61 IPC damage/SBR
    G40 OOB

    • 5.486 - 3.667 = +1.819 IPCs damage/SBR

    1 StB A1 regular doing SBR against 2 intercepting Fgs D2
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +2.963 - 3.148 = -0.185 IPCs damage/SBR
    1D6+2: +3.704 - 3.148 = +0.556 IPCs damage/SBR
    Cost 6
    1D6: +2.963 - 3.778 = -0.815 IPCs damage/SBR
    1D6+2: +3.704 - 3.778 = -0.074 IPCs damage/SBR
    Cost 8
    1D6: +2.963 - 5.037 = -2.074 IPCs damage/SBR
    1D6+2: +3.704 - 5.037 = -1.333 IPCs damage/SBR
    G40 BMode
    1D6+2: +3.704- 7.556 = - 3.852 IPCs damage/SBR
    G40 OOB
    +4.85 - 5.056 = -0.206 IPC damage/SBR


    1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2
    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +7.593 - 3.148 = +4.445 IPCs damage/SBR
    1D6+2: +9.074 - 3.148 = +5.926 IPCs damage/SBR
    Cost 6
    1D6: +7.593 - 3.407 = +4.186 IPCs damage/SBR
    1D6+2: +9.074 - 3.407 = +5.667 IPC damage/SBR
    Cost 8
    1D6: +7.593 - 3.926 = +3.667 IPCs damage/SBR
    1D6+2: +9.074 - 3.926 = +5.148 IPCs damage/SBR
    G40 BMode
    1D6+2: + 9.074 - 8.667 = + 0.407 IPC damage/SBR
    G40 OOB
    +7.775 - 5.33 = +2.445 IPCs damage/SBR


    2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +7.222 - 4.444 = +2.778 IPCs damage/SBR
    1D6+2: +9.445 - 4.444 = +5.001 IPCs damage/SBR
    Cost 6
    1D6: +7.222 - 5.333 = +1.889 IPCs damage/SBR
    1D6+2: +9.445 - 5.333 = +4.112 IPCs damage/SBR
    Cost 8
    1D6: +7.222 - 7.083 = +0.139 IPC damage/SBR
    1D6+2: +9.445 - 7.083 = +2.362 IPCs damage/SBR
    G40 BMode
    1D6+2: +9.445 - 10.667 = - 1.222 IPCs damage/SBR
    G40 OOB
    +10.973 - 7.334 = +3.639 IPCs damage/SBR


    1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2
    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +7.361 - 1.389 = +5.972 IPCs damage/SBR
    1D6+2: +9.027 - 1.389 = +7.638 IPCs damage/SBR
    Cost 6
    1D6: +7.361 - 1.556 = +5.805 IPCs damage/SBR
    1D6+2: +9.027 - 1.556 = +7.471 IPCs damage/SBR
    Cost 8
    1D6: +7.361 - 1.889 = +5.472 IPCs damage/SBR
    1D6+2: +9.027 - 1.889 = +7.138 IPCs damage/SBR
    G40 BMode
    1D6+2: + 9.027 - 5.333 = + 3.694 IPCs damage/SBR
    G40 OOB
    +7.639 - 3.667 = +3.972 IPCs damage/SBR


    2 StBs A1 regular doing SBR against 1 intercepting Fgs D2
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +7.861 - 3.056 = +4.805 IPCs damage/SBR
    1D6+2: +10.639 - 3.056 = +7.583 IPCs damage/SBR
    Cost 6
    1D6: +7.861 - 3.667 = +4.194 IPCs damage/SBR
    1D6+2: +10.639 - 3.667 = +6.972 IPCs damage/SBR
    Cost 8
    1D6: +7.861 - 4.889 = +2.972 IPCs damage/SBR
    1D6+2: +10.639 - 4.889 = +5.750 IPCs damage/SBR
    G40 BMode
    1D6+2: +10.639 - 7.334 = + 3.304 IPCs damage/SBR
    G40 OOB
    +11.459 - 5.666 = +5.793 IPCs damage/SBR


    2 StBs doing SBR without interceptor

    Cost 5
    1D6 (avg 3.5 IPCs): +5.834 - 1.667 = +4.167 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 1.667 = +7.50 IPCs damage/SBR
    Cost 6
    1D6 (avg 3.5 IPCs): +5.834 - 2 = +3.834 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 2 = +7.166 IPCs damage/SBR
    Cost 8
    1D6 (avg 3.5 IPCs): +5.834 - 2.667 = +3.167 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 2.667 = +6.499 IPCs damage/SBR
    G40 BMode

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

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

    1 StB A1 regular vs 1 Fg D2
    1D6+2: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR / 1D6: + 5.556 - 5.333 = + 0.223 IPC. damage/SBR

    1 StB A1 regular doing SBR against 2 intercepting Fgs D2
    1D6+2: +3.704- 7.556 = - 3.852 IPCs damage/SBR / 1D6: +4.260- 7.556 = - 3.296 IPCs damage/SBR

    1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2
    1D6+2: + 9.074 - 8.667 = + 0.407 IPC damage/SBR / 1D6: + 10.185 - 8.667 = + 1.518 IPC damage/SBR

    2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
    1D6+2: +9.445 - 10.667 = - 1.222 IPCs damage/SBR / 1D6: +11.112 - 10.667 = + 0.445 IPCs damage/SBR

    1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2
    1D6+2: + 9.027 - 5.333 = + 3.694 IPCs damage/SBR / 1D6: + 10.277 - 5.333 = + 4.944 IPCs damage/SBR

    2 StBs A1 regular doing SBR against 1 intercepting Fgs D2
    1D6+2: +10.639 - 7.334 = + 3.304 IPCs damage/SBR / 1D6: +12.722 - 7.334 = + 5.388 IPCs damage/SBR

    __

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

    1 StB doing SBR without interceptor, damage 1D6+2 / damage 1D6
    5/6 StB survived *3.5 IPCs = +2.917 IPCs
    5/6 StB survived *5.5 IPCs = +4.583 IPCs

    1/6 StB killed *5 IPCs = -0.833 IPCs
    1/6 StB killed *6 IPCs = -1 IPCs
    1/6 StB killed *8 IPCs = -1.333 IPCs

    Cost 5
    1D6 (avg 3.5 IPCs): +2.917 - 0.833 = +2.084 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +4.583 - 0.833 = +3.750 IPCs damage/SBR
    Cost 6
    1D6 (avg 3.5 IPCs): +2.917 - 1 = +1.917 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +4.583 - 1 = +3.583 IPCs damage/SBR
    Cost 8
    1D6 (avg 3.5 IPCs): +2.917 - 1.333 = +1.584 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +4.583 - 1.333 = +3.250 IPCs damage/SBR


    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:
    D6 Bombard on IC … 120/216…*3.5 IPCs = +1.944 IPCs

    D6+2 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% *-5 IPCs = - 2.222 IPCs
    OR
    StB killed 96/216= 44.444% *-6 IPCs = - 2.667 IPCs
    OR
    StB killed 96/216= 44.444% *-8 IPCs = - 3.556 IPCs

    Cost 5
    1D6: +3.611 - 2.222 = +1.389 IPCs damage/SBR
    1D6+2: +4.723 - 2.222 = +2.501 IPCs damage/SBR
    Cost 6
    1D6: +3.611 - 2.667 = +0.944 IPC damage/SBR
    1D6+2: +4.723 - 2.667 = +2.056 IPCs damage/SBR
    Cost 8
    1D6: +3.611 - 3.556 = +0.055 IPC damage/SBR
    1D6+2: +4.723 - 3.556 = +1.167 IPCs damage/SBR
    __

    1 StB A1 regular doing SBR against 2 intercepting Fgs D2

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

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

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

    Results:
    D6 Bombard on IC … 480/1296…*3.5 IPCs = +1.296 IPCs

    D6+2 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%
    -5 IPCs = - 3.148 IPCs
    OR
    1 StB killed: 816/1296= 62.963%-6 IPCs = - 3.778 IPCs
    OR
    1 StB killed: 816/1296= 62.963%
    -8 IPCs = - 5.037 IPCs

    Cost 5
    1D6: +2.963 - 3.148 = -0.185 IPCs damage/SBR
    1D6+2: +3.704 - 3.148 = +0.556 IPCs damage/SBR

    Cost 6
    1D6: +2.963 - 3.778 = -0.815 IPCs damage/SBR
    1D6+2: +3.704 - 3.778 = -0.074 IPCs damage/SBR

    Cost 8
    1D6: +2.963 - 5.037 = -2.074 IPCs damage/SBR
    1D6+2: +3.704 - 5.037 = -1.333 IPCs damage/SBR

    __

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

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

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

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

    Results:
    Bombard on IC: 5760/7776= 74.074%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.074 IPCs
    Killing 2 Fgs: 432/7776= 2.778%*+20 IPCs = + 1.111 IPC
    Killing 1 Fg: 3024/7776= 27.778% +10 IPCs = + 3.889 IPCs
    Fg killed: 2880/7776= 37.04%
    -10 IPCs = - 3.704 IPCs

    StB killed: 576/7776= 7.41%-5 IPCs = - 0.370 IPCs
    StB & Fg killed: 1440/7776=18.52%
    -15 IPCs = - 2.778 IPCs

    StB killed: 576/7776= 7.41%-6 IPCs = - 0.444 IPCs
    StB & Fg killed: 1440/7776=18.52%
    -16 IPCs = - 2.963 IPCs

    StB killed: 576/7776= 7.41%-8 IPCs = - 0.593 IPCs
    StB & Fg killed: 1440/7776=18.52%
    -18 IPCs = - 3.333 IPCs

    Cost 5
    1D6: +7.593 - 3.148 = +4.445 IPCs damage/SBR
    1D6+2: +9.074 - 3.148 = +5.926 IPCs damage/SBR
    Cost 6
    1D6: +7.593 - 3.407 = +4.186 IPCs damage/SBR
    1D6+2: +9.074 - 3.407 = +5.667 IPCs damage/SBR
    Cost 8
    1D6: +7.593 - 3.926 = +3.667 IPCs damage/SBR
    1D6+2: +9.074 - 3.926 = +5.148 IPCs damage/SBR


    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 / *+7 = +2.160
    1x Bombard on IC: 23040/46656= 49.383% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.716 IPCs / +3.5 = +1.728
    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%-10 IPCs = - 1.975 IPCs
    1 StB killed: 23040/46656= 49.383%
    -5 IPCs = - 2.469 IPCs

    2 StBs killed: 9216/46656= 19.753%-12 IPCs = - 2.370 IPCs
    1 StB killed: 23040/46656= 49.383%
    -6 IPCs = - 2.963 IPCs

    2 StBs killed: 9216/46656= 19.753%-16 IPCs = - 3.132 IPCs
    1 StB killed: 23040/46656= 49.383%
    -8 IPCs = - 3.951 IPCs

    Cost 5
    1D6: +7.222 - 4.444 = +2.778 IPCs damage/SBR
    1D6+2: +9.445 - 4.444 = +5.001 IPCs damage/SBR

    Cost 6
    1D6: +7.222 - 5.333 = +1.889 IPCs damage/SBR
    1D6+2: +9.445 - 5.333 = +4.112 IPCs damage/SBR

    Cost 8
    1D6: +7.222 - 7.083 = +0.139 IPC damage/SBR
    1D6+2: +9.445 - 7.083 = +2.362 IPCs damage/SBR


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

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

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

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

    Results:
    D6: 83.333% * 3.5 = +2.917 IPCs
    Bombard on IC: 1080/1296 = 83.333% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs
    Killing 1 Fg: 576/1296 = 44.444% +10 IPCs = + 4.444 IPCs
    Fg killed: 360/1296 = 27.778%
    -10 IPCs = - 2.778 IPCs

    StB killed: 144/1296 = 11.111%-5 IPCs = - 0.556 IPCs
    StB & Fg killed: 72/1296 = 5.556%
    -15 IPCs = - 0.8333 IPCs

    StB killed: 144/1296 = 11.111%-6 IPCs = - 0.667 IPCs
    StB & Fg killed: 72/1296 = 5.556%
    -16 IPCs = - 0.889 IPCs

    StB killed: 144/1296 = 11.111%-8 IPCs = - 0.889 IPCs
    StB & Fg killed: 72/1296 = 5.556%
    -18 IPCs = - 1.00 IPC

    Cost 5
    1D6: +7.361 - 1.389 = +5.972 IPCs damage/SBR
    1D6+2: +9.027 - 1.389 = +7.638 IPCs damage/SBR

    Cost 6
    1D6: +7.361 - 1.556 = +5.805 IPCs damage/SBR
    1D6+2: +9.027 - 1.556 = +7.471 IPCs damage/SBR

    Cost 8
    1D6: +7.361 - 1.889 = +5.472 IPCs damage/SBR
    1D6+2: +9.027 - 1.889 = +7.138 IPCs damage/SBR


    2 StBs A1 regular doing SBR against 1 intercepting Fgs D2

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

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

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

    Results:
    2x Bombard on IC: 3600/7776= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs / +7 IPCs= +3.241 IPCs
    1x Bombard on IC: 3600/7776= 46.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs / +3.5 IPCs = +1.620 IPCs
    Killing 1 Fg: 2332/7776= 29.999% *+10 IPCs = + 3.00 IPCs

    2 StBs killed: 576/7776= 7.407%-10 IPCs = - 0.741 IPCs
    1 StB killed: 3600/7776= 46.296%
    -5 IPCs = - 2.315 IPCs

    2 StBs killed: 576/7776= 7.407%-12 IPCs = - 0.889 IPCs
    1 StB killed: 3600/7776= 46.296%
    -6 IPCs = - 2.778 IPCs

    2 StBs killed: 576/7776= 7.407%-16 IPCs = - 1.185 IPCs
    1 StB killed: 3600/7776= 46.296%
    -8 IPCs = - 3.704 IPCs

    Regular SBRs
    Cost 5
    1D6: +7.861 - 3.056 = +4.805 IPCs damage/SBR
    1D6+2: +10.639 - 3.056 = +7.583 IPCs damage/SBR

    Cost 6
    1D6: +7.861 - 3.667 = +4.194 IPCs damage/SBR
    1D6+2: +10.639 - 3.667 = +6.972 IPCs damage/SBR

    Cost 8
    1D6: +7.861 - 4.889 = +2.972 IPCs damage/SBR
    1D6+2: +10.639 - 4.889 = +5.750 IPCs damage/SBR


    2 StBs doing SBR without interceptor

    Cost 5
    1D6 (avg 3.5 IPCs): +5.834 - 1.667 = +4.167 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 1.667 = +7.50 IPCs damage/SBR

    Cost 6
    1D6 (avg 3.5 IPCs): +5.834 - 2 = +3.834 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 2 = +7.166 IPCs damage/SBR

    Cost 8
    1D6 (avg 3.5 IPCs): +5.834 - 2.667 = +3.167 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 2.667 = +6.499 IPCs damage/SBR

  • '19 '17 '16

    I’m happy if fighters are A2 D2, no first strike.

    I actually think that damage from strat bombers should be 2d6-1. Would mostly roll about average, 6.

  • '17 '16

    @simon33:

    I’m happy if fighters are A2 D2, no first strike.

    I actually think that damage from strat bombers should be 2d6-1. Would mostly roll about average, 6.

    The last post brings a table to compare various StB cost and and damage against Fg A2 D2.

    This would be of use in my HR in which Fg is A2 D2 C6.
    Probably 8 IPCs StB A1 D0, 1 hit, A1 SBR damage D6+2

    However, the general consensus to replace OOB StB amongst 5 of us lead to StB A0 D0 C5 vs Fg A1 D1 C10. See redesign thread.

  • '17 '16

    Black Elk Strategic Bomber 5 IPC A1 D0

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

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

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

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

    Break even ratio for x StB A1 vs y Fg D2 C10:
    OOB G40 SBR: 10/19= 0.526 StB/Fg
    Cost 5 D6 damage: 16 StBs vs 31 Fgs, 16/31= 0.516 StB/Fg

    Cost 6 D6 damage: 19 Stbs vs 29 Fgs, 19/29= 0.655 StB/Fg

    Fighter Interception Threshold (FIT) and Fighter Interception Gap (FIG)
    G40 OOB: from 1.55 StB/Fg and less   (.526 to 1.55)
    Cost 5: near 6 StBs vs 4 Fgs= from 1.5 StB/Fg and less (.516 to 1.5)

    Cost 6: near 5 StBs vs 3 Fgs= from 1.67 StB/Fg and less (0.655 to 1.67)

    Break even point C5, 1D6 damage: near 1 StB A0 vs 2 Fgs D1 C10: 0.5 StB/Fg
    1 StB A0 vs 2 Fgs D1 : + 2.025 - 2.106 = -0.081 IPCs
    12 StB vs 23 Fgs: exactly 0.522 StB/Fg
    No FIT (Fighter Interception Threshold), always beneficial to Intercept.

    Break even ratio: 16 StBs D6 dmg A1 C5 vs 25 Fgs D2 C7 = near 0.64 StB/Fg
    1 StB A1 C5 vs 1 Fg D2 C7
    1D6: +3.111 - 2.222 = +0.889 IPCs damage/SBR7= +6.223
    1 StB A1 C5 doing SBR against 2 intercepting Fgs D2 C7
    1D6: +2.463 - 3.148 = -0.685 IPCs damage/SBR
    9= -6.165 [Diff.: +0.058]

    Fighter Interception Threshold (FIT): 5 StBs A1 C5 vs 2 Fg D2 C7 = 2.5 StBs/Fg.
    So the FIGap is between .64 StB/ Fg to up to 2.5 StBs/Fg

    1 StB doing SBR without interceptor, damage 1D6
    1D6 (avg 3.5 IPCs): +2.917 - 0.833 = +2.084 IPCs damage/SBR2= +4.168 IPCs
    +2.084 IPCs damage/SBR
    3= +6.252 IPCs
    +2.084 IPCs damage/SBR*5= +10.420 IPCs
    5 StBs A1 C5 vs 2 Fg D2 C7
    3.904+6.556= +10.460 IPCs - 0.040 IPCs if no intercept.

    1 StBs A1 C5 vs 1 Fg D2 C7
    1D6: +3.111 - 2.222 = +0.889 IPCs damage/SBR +1.195 if no intercept
    2 StBs A1 C5 vs 1 Fg D2 C7
    1D6: +6.960 - 3.056 = +3.904 IPCs damage/SBR +0.264 if no intercept
    3 StBs A1 C5 vs 1 Fg D2 C7
    1D6: +10.490 - 3.934 = +6.556 IPCs damage/SBR -0.304 if no intercept

    Fighter Interception Threshold (FIT)
    G40 OOB: from 1.55 StB/Fg and less
    Cost 5: near 6 StBs C5 A1 vs 4 Fgs D2 C10= from 1.5 StB/Fg and less
    So, Fg A2 D2 C7 FIT (2.5 StBs/Fg) is almost 1 additional StB/Fg higher than what was possible with Fg C10 (1.5 StB/Fg).

    Numbers are really good on that one!

    Break even ratio: 2 StBs A1 C8 vs 3 Fgs D2: 2/3= 0.667 Stb/Fg [Diff. -0.166]
    1 C8 vs 1 Fg 1D6+2: +4.723 - 3.556 = +1.167 IPCs damage/SBR1
    1 C8 vs 2 Fgs 1D6+2: +3.704 - 5.037 = -1.333 IPCs damage/SBR
    1


    Global40 SBR HRules : 1 StB doing SBR without interceptor, damage 1D6+2 / damage 1D6

    5/6 StB survived *3.5 IPCs = +2.917 IPCs
    5/6 StB survived *5.5 IPCs = +4.583 IPCs

    1/6 StB killed *5 IPCs = -0.833 IPCs

    Cost 5
    1D6 (avg 3.5 IPCs): +2.917 - 0.833 = +2.084 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +4.583 - 0.833 = +3.750 IPCs damage/SBR

    G40 BMode
    1D6+2: + 4.583 - 2 = +2.583 IPCs damage/SBR run


    1 StB A1 regular vs 1 Fg D2
    Cost 5
    1D6: +3.611 - 2.222 = +1.389 IPCs damage/SBR
    1D6+2: +4.723 - 2.222 = +2.501 IPC damage/SBR

    Cost 5 Fg C7
    1D6: +3.111 - 2.222 = +0.889 IPCs damage/SBR
    1D6+2: +4.223 - 2.222 = +2.001 IPCs damage/SBR

    G40 BMode
    1D6+2:+ 4.723 - 5.333 = - 0.61 IPC damage/SBR
    G40 OOB

    • 5.486 - 3.667 = +1.819 IPCs damage/SBR

    1 StB A1 regular doing SBR against 2 intercepting Fgs D2
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +2.963 - 3.148 = -0.185 IPCs damage/SBR
    1D6+2: +3.704 - 3.148 = +0.556 IPCs damage/SBR

    Cost 5 vs Fg C7
    1D6: +2.463 - 3.148 = -0.685 IPCs damage/SBR
    1D6+2: +3.204 - 3.148 = +0.056 IPCs damage/SBR

    G40 BMode
    1D6+2: +3.704- 7.556 = - 3.852 IPCs damage/SBR
    G40 OOB
    +4.85 - 5.056 = -0.206 IPC damage/SBR


    1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2
    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +7.593 - 3.148 = +4.445 IPCs damage/SBR
    1D6+2: +9.074 - 3.148 = +5.926 IPCs damage/SBR

    Cost 5 vs Fg C7
    1D6: +6.093 - 5.185 = +0.908 IPCs damage/SBR
    1D6+2: +7.574 - 5.185 = +2.389 IPCs damage/SBR

    G40 BMode
    1D6+2: + 9.074 - 8.667 = + 0.407 IPC damage/SBR
    G40 OOB
    +7.775 - 5.33 = +2.445 IPCs damage/SBR


    2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +7.222 - 4.444 = +2.778 IPCs damage/SBR
    1D6+2: +9.445 - 4.444 = +5.001 IPCs damage/SBR

    Cost 5 vs Fg C7
    1D6: +6.221 - 4.444 = +1.777 IPCs damage/SBR
    1D6+2: +8.444 - 4.444 = +4.00 IPCs damage/SBR

    G40 BMode
    1D6+2: +9.445 - 10.667 = - 1.222 IPCs damage/SBR
    G40 OOB
    +10.973 - 7.334 = +3.639 IPCs damage/SBR


    1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2
    StB+Fg rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +7.361 - 1.389 = +5.972 IPCs damage/SBR
    1D6+2: +9.027 - 1.389 = +7.638 IPCs damage/SBR

    Cost 5 vs Fg C7
    1D6: +6.028 - 3.167 = +2.861 IPCs damage/SBR
    1D6+2: +7.694 - 3.167 = +4.527 IPCs damage/SBR

    G40 BMode
    1D6+2: + 9.027 - 5.333 = + 3.694 IPCs damage/SBR
    G40 OOB
    +7.639 - 3.667 = +3.972 IPCs damage/SBR


    2 StBs A1 regular doing SBR against 1 intercepting Fgs D2
    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
    Cost 5
    1D6: +7.861 - 3.056 = +4.805 IPCs damage/SBR
    1D6+2: +10.639 - 3.056 = +7.583 IPCs damage/SBR

    Cost 5 vs Fg C7
    1D6: +6.960 - 3.056 = +3.904 IPCs damage/SBR
    1D6+2: +9.738 - 3.056 = +6.682 IPCs damage/SBR

    G40 BMode
    1D6+2: +10.639 - 7.334 = + 3.304 IPCs damage/SBR
    G40 OOB
    +11.459 - 5.666 = +5.793 IPCs damage/SBR


    2 StBs doing SBR without interceptor

    Cost 5
    1D6 (avg 3.5 IPCs): +5.834 - 1.667 = +4.167 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 1.667 = +7.50 IPCs damage/SBR

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

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

    1 StB A1 regular vs 1 Fg D2
    1D6+2: + 4.723 - 5.333 = - 0.61 IPC. damage/SBR / 1D6: + 5.556 - 5.333 = + 0.223 IPC. damage/SBR

    1 StB A1 regular doing SBR against 2 intercepting Fgs D2
    1D6+2: +3.704- 7.556 = - 3.852 IPCs damage/SBR / 1D6: +4.260- 7.556 = - 3.296 IPCs damage/SBR

    1 StB A1 & 1 Fg A2 doing SBR against 2 intercepting Fgs D2
    1D6+2: + 9.074 - 8.667 = + 0.407 IPC damage/SBR / 1D6: + 10.185 - 8.667 = + 1.518 IPC damage/SBR

    2 StBs A1 regular doing SBR against 2 intercepting Fgs D2
    1D6+2: +9.445 - 10.667 = - 1.222 IPCs damage/SBR / 1D6: +11.112 - 10.667 = + 0.445 IPCs damage/SBR

    1 StB A1 & 1 Fg A2 doing SBR against 1 intercepting Fgs D2
    1D6+2: + 9.027 - 5.333 = + 3.694 IPCs damage/SBR / 1D6: + 10.277 - 5.333 = + 4.944 IPCs damage/SBR

    2 StBs A1 regular doing SBR against 1 intercepting Fgs D2
    1D6+2: +10.639 - 7.334 = + 3.304 IPCs damage/SBR / 1D6: +12.722 - 7.334 = + 5.388 IPCs damage/SBR

    __

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

    1 StB doing SBR without interceptor, damage 1D6+2 / damage 1D6
    5/6 StB survived *3.5 IPCs = +2.917 IPCs
    5/6 StB survived *5.5 IPCs = +4.583 IPCs

    1/6 StB killed *5 IPCs = -0.833 IPCs

    Cost 5
    1D6 (avg 3.5 IPCs): +2.917 - 0.833 = +2.084 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +4.583 - 0.833 = +3.750 IPCs damage/SBR


    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:
    D6 Bombard on IC … 120/216…*3.5 IPCs = +1.944 IPCs

    D6+2 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% *+7 IPC = + 1.167 IPC
    StB killed 96/216= 44.444% *-5 IPCs = - 2.222 IPCs
    OR
    StB killed 96/216= 44.444% *-6 IPCs = - 2.667 IPCs
    OR
    StB killed 96/216= 44.444% *-8 IPCs = - 3.556 IPCs

    Cost 5
    1D6: +3.111 - 2.222 = +0.889 IPCs damage/SBR
    1D6+2: +4.223 - 2.222 = +2.001 IPCs damage/SBR
    __

    1 StB A1 regular doing SBR against 2 intercepting Fgs D2

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

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

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

    Results:
    D6 Bombard on IC … 480/1296…*3.5 IPCs = +1.296 IPCs

    D6+2 Bombard on IC: 480/1296= 37.037% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.037 IPCs
    Killing 1 Fg: 216/1296= 16.667% +7 IPCs = + 1.167 IPCs
    1 StB killed: 816/1296= 62.963%
    -5 IPCs = - 3.148 IPCs
    OR
    1 StB killed: 816/1296= 62.963%-6 IPCs = - 3.778 IPCs
    OR
    1 StB killed: 816/1296= 62.963%
    -8 IPCs = - 5.037 IPCs

    Cost 5
    1D6: +2.463 - 3.148 = -0.685 IPCs damage/SBR
    1D6+2: +3.204 - 3.148 = +0.056 IPCs damage/SBR

    __

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

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

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

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

    Results:
    Bombard on IC: 5760/7776= 74.074%* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.074 IPCs  +3.5= 2.593 IPCs
    Killing 2 Fgs: 432/7776= 2.778%
    +14 IPCs = + 0.778 IPC
    Killing 1 Fg: 3024/7776= 27.778% *+7 IPCs = + 2.722 IPCs

    Fg killed: 2880/7776= 37.04%-7 IPCs = - 2.593 IPCs
    StB killed: 576/7776= 7.41%
    -5 IPCs = - 0.370 IPCs
    StB & Fg killed: 1440/7776=18.52%*-12 IPCs = - 2.222 IPCs

    Cost 5
    1D6: +6.093 - 5.185 = +0.908 IPCs damage/SBR
    1D6+2: +7.574 - 5.185 = +2.389 IPCs damage/SBR


    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 / *+7 = +2.160
    1x Bombard on IC: 23040/46656= 49.383% * ((3+8) IPCs)/2= +5.5 IPCs) = +2.716 IPCs / +3.5 = +1.728
    Killing 2 Fgs: 1296/46656= 2.778%
    +14 IPCs = + 0.389 IPC
    Killing 1 Fg: 12960/46656= 27.778% *+7 IPCs = + 1.944 IPCs

    2 StBs killed: 9216/46656= 19.753%-10 IPCs = - 1.975 IPCs
    1 StB killed: 23040/46656= 49.383%
    -5 IPCs = - 2.469 IPCs

    2 StBs killed: 9216/46656= 19.753%-12 IPCs = - 2.370 IPCs
    1 StB killed: 23040/46656= 49.383%
    -6 IPCs = - 2.963 IPCs

    2 StBs killed: 9216/46656= 19.753%-16 IPCs = - 3.132 IPCs
    1 StB killed: 23040/46656= 49.383%
    -8 IPCs = - 3.951 IPCs

    Cost 5
    1D6: +6.221 - 4.444 = +1.777 IPCs damage/SBR
    1D6+2: +8.444 - 4.444 = +4.00 IPCs damage/SBR


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

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

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

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

    Results:
    D6: 83.333% * 3.5 = +2.917 IPCs
    Bombard on IC: 1080/1296 = 83.333% * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs
    Killing 1 Fg: 576/1296 = 44.444% *+7 IPCs = + 3.111 IPCs

    Fg killed: 360/1296 = 27.778%-7 IPCs = - 1.944 IPCs
    StB killed: 144/1296 = 11.111%
    -5 IPCs = - 0.556 IPCs
    StB & Fg killed: 72/1296 = 5.556%*-12 IPCs = - 0.667 IPCs

    Cost 5
    1D6: +6.028 - 3.167 = +2.861 IPCs damage/SBR
    1D6+2: +7.694 - 3.167 = +4.527 IPCs damage/SBR


    2 StBs A1 regular doing SBR against 1 intercepting Fgs D2

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

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

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

    Results:
    2x Bombard on IC: 3600/7776= 46.296% * ((6+16) IPCs)/2= +11 IPCs) = + 5.093 IPCs / +7 IPCs= +3.241 IPCs
    1x Bombard on IC: 3600/7776= 46.296% * ((3+8) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs / +3.5 IPCs = +1.620 IPCs
    Killing 1 Fg: 2332/7776= 29.999% *+7 IPCs = + 2.099 IPCs

    2 StBs killed: 576/7776= 7.407%-10 IPCs = - 0.741 IPCs
    1 StB killed: 3600/7776= 46.296%
    -5 IPCs = - 2.315 IPCs

    Regular SBRs
    Cost 5
    1D6: +6.960 - 3.056 = +3.904 IPCs damage/SBR
    1D6+2: +9.738 - 3.056 = +6.682 IPCs damage/SBR

    3 StBs A1 regular doing SBR against 1 intercepting Fgs D2

    StBs rolls/interceptors Fgs roll/ AAA roll = odds casualties
    91/2162/611/216 = 2002/279936 1 StB killed by Fg and 2 StBs killed by AAA vs 1 Fg
    91/2162/625/216 = 4550/279936 1 StB killed by Fg and 1 StB killed by AAA vs 1 Fg
    91/2162/6180/216 = 32760/279936 1 StB killed by Fg vs 1 Fg

    91/2164/61/216 = 364/279936 3 StBs killed by AAA vs 1 Fg
    91/2164/615/216 = 5460/279936 2 StBs killed by AAA vs 1 Fg
    91/2164/675/216 = 27300/279936 1 StB killed by AAA vs 1 Fg
    91/2164/6125/216 = 45500/279936 no casualty vs 1 Fg

    125/2162/66/216 = 1500/279936 1 StB killed by Fg and 2 StBs killed by AAA vs no casualty
    125/2162/680/216 = 20000/279936 1 StB killed by Fg and 1 StB killed by AAA vs no casualty
    125/2162/6125/216 = 31250/279936 1 StBs killed by Fg vs no casualty

    125/2164/61/216 = 500/279936 3 StBs killed by AAA vs no casualty
    125/2164/615/216 = 7500/279936 2 StBs killed by AAA vs no casualty
    125/2164/675/216 = 37500/279936 1 StB killed by AAA vs no casualty
    125/2164/6125/216 = 62500/279936 no casualty at all

    Results:
    3x Bombard on IC: 93750/279936= 33.490% * ((9+24) IPCs)/2= +16.5 IPCs) = + 5.600 IPCs / +11.5 IPCs= +3.851 IPCs
    2x Bombard on IC: 128810/279936= 46.014% * ((6+16) IPCs)/2= +11 IPCs) = + 5.062 IPCs / +7 IPCs= +3.221 IPCs
    1x Bombard on IC: 37510/279936= 13.400% * ((3+8) IPCs)/2= +5.5 IPCs) = + 0.737 IPCs / +3.5 IPCs = +0.469 IPCs
    Killing 1 Fg: 117936/279936= 42.130% *+7 IPCs = + 2.949 IPCs

    3 StBs killed: 4366/279936= 1.560%-15 IPCs = -0.234 IPCs
    2 StBs killed: 37510/279936= 13.400%
    -10 IPCs = -1.400 IPCs
    1 StB killed: 128810/279936= 46.014%*-5 IPCs = -2.300 IPCs

    Regular SBRs
    Cost 5
    1D6: +10.490 - 3.934 = +6.556 IPCs damage/SBR
    1D6+2: +14.348 - 3.934 = +10.414 IPCs damage/SBR


    2 StBs doing SBR without interceptor

    Cost 5
    1D6 (avg 3.5 IPCs): +5.834 - 1.667 = +4.167 IPCs damage/SBR
    1D6+2 (avg 5.5 IPCs): +9.166 - 1.667 = +7.50 IPCs damage/SBR

  • '17 '16

    @Baron:

    1942.2 SBR Black Elk hypothesis

    Strategic Bomber
    Attack 0
    Damage 1D6, 1D6+2
    Cost 5

    Fighter
    Attack 1
    Defense 1
    Cost 10

    Break even point C5, 1D6 damage: near 1 StB vs 2 Fgs: 0.5 StB/Fg
    1 StB vs 2 Fgs : + 2.025 - 2.106 = -0.081 IPCs
    12 StB vs 23 Fgs: exactly 0.522 StB/Fg
    No FIT (Fighter Interception Threshold), always beneficial to Intercept.


    Down below here is a different values doing SBR for 1942.2 and G40

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

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

    IC’s AAA: @1 against each Strategic Bomber


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

    1 Strategic Bomber doing SBR against no interceptor

    AAA roll = odds casualties

    5/6 StB survived * 5.5 IPCs = +4.583 IPCs *3.5= +2.917 *6.5= 5.417
    1/6 StB killed *5 IPCs = -0.833 IPCs

    D6: +2.917-0.833= +2.084 IPCs
    D6+2: + 4.583 - 0.833 = +3.750 IPCs damage/SBR


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

    Interceptor Fg roll/ AAA roll = odds casualties

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

    Results:
    Bombard on IC 25/36* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.819 IPCs *3.5= 2.431 *6.5=+4.514
    StB killed 11/36 *-5 IPCs = - 1.528 IPCs

    D6: + 2.431 - 1.528 = +0.903
    D6+2: + 3.819 - 1.528= + 2.291 IPC damage/SBR


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

    Interceptors Fgs roll/ AAA roll = odds casualties

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

    Results:
    Bombard on IC 125/216* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.183 IPCs *3.5= 2.025 *6.5=+3.762
    StB killed 91/216 *- 5 IPCs = - 2.106 IPCs

    D6: + 2.025 - 2.106 = -0.081 IPCs
    D6+2: + 3.183 - 2.106 = +1.077 IPC damage/SBR


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

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

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

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

    Results:
    Bombard on IC: 1050/1296 * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.456 IPCs 3.5= +2.836 6.5=+5.266
    Killing 1 Fg: 216/1296 +10 IPCs = + 1.667 IPCs
    Fg killed: 300/1296
    -10 IPCs = - 2.315 IPCs
    StB killed: 150/1296
    -5 IPCs = - 0.579IPCs
    StB & Fg killed: 96/1296
    -15 IPCs = - 1.111 IPCs

    D6: +4.503 - 1.690 = +2.813 IPCs
    D6+2: + 6.123 - 1.690 = + 4.433 IPC damage/SBR


    1 Fighter Att 1 and 1 Strategic Bomber Att 0 doing SBR against 1 interceptor Def 1
    Fighter escort taking the casualty.
    Fighter roll/interceptor Fg roll/ AAA roll = odds casualties

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

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

    Results:
    Bombard on IC: 180/216 * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs 3.5= +0.833 6.5=+5.417
    Killing 1 Fg: 36/216 +10 IPCs = + 1.667 IPCs
    Fg killed:30/216
    -10 IPCs = - 1.389 IPCs
    StB killed: 30/216
    -5 IPCs = - 0.694 IPCs
    StB & Fg killed: 6/216
    -15 IPCs = - 0.417 IPC

    D6: +2.500 - 1.111 = +1.389 IPCs
    D6+2: + 6.250 - 1.111 = + 5.139 IPC damage/SBR


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

    Interceptor Fgs roll/ AAA roll = odds casualties

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

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

    Results:
    2x Bombard on IC 625/1296* ((2+4)+(12+4) IPCs)/2= +11 IPCs) = +5.305 IPCs *7=+3.378 13=+6.269
    1x Bombard on IC 550/1296
    ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.334 IPCs 3.5=+1.485 6.5=+2.758
    2 StBs killed 121/1296
    -10 IPCs = - 0.934 IPCs
    1 StB killed 550/1296
    -5 IPCs = - 2.122 IPCs

    D6: +4.863 - 3.056 = +1.807 IPCs
    D6+2: + 7.639 - 3.056 = + 4.583 IPCs damage/SBR


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

    Interceptor Fg roll/ AAA roll = odds casualties

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

    Results:
    2x Bombard on IC 125/216* ((2+4)+(12+4) IPCs)/2= +11 IPCs) = +6.366 IPCs *7=+4.051 13=+7.523
    1x Bombard on IC 80/216
    ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.037 IPCs 3.5=+1.296 6.5=+2.407
    2 StBs killed 11/216
    -10 IPCs = - 0.509 IPC
    1 StB killed 80/216
    -5 IPCs = - 1.852 IPCs

    D6: + 5.347 - 2.361= + 2.986 IPCs
    D6+2: + 8.403 - 2.361 = + 6.042 IPCs damage/SBR

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