@VictoryFirst said in VF (Germany) vs. DoMan (Allies) | Original Europe, Game 6 - Balance 3.0:
(3/6)(3/6)(3/6)(2/6)3 + (3/6)(3/6)(3/6)*(4/6)
That is correct for exactly one hit for just the UK stuff. To add in the USA stuff, it becomes a bit more involved:
UK Force: 3 @ 3, 1 @ 4
US Force: 2 @ 3, 1 @ 4
Total force: 5@3, 2 @ 4
So to expand it, we have:
(ODDS OF 1 @3 HIT * ODDS OF 0 @4 HIT) + (ODDS OF 0 @3 HIT * ODDS OF 1 @4 HIT)
(5*(1/2)^5 * (1/3)^2) + (1/2)^5 * 2*(2/3)(1/3)
.0016/9 + .013889 = .0141 = 1.41%