sudojoe wrote:Also the FnP thing appears to be a bit faulty. When you set it to armor save of 2, and FnP - it gives you no chance to cause any unsaved wounds. Seems to increase chance to save to 11.1% so nothing is calculated lol. I think it's upposed to be 88% chance to resist with 2+ and FnP
Yes, the chance to save a wound with 2+ armor and 5+
FNP is 88.89%%. But, if you also factor in the possibility that the shooter either fails to hit or fails to wound, the chance of NOT losing a wound goes up even more. Hence a terminator with
FNP being shot at with boltguns has a VERY small chance of losing a wound. Here's the math for one shot...
Chance to hit (BS4) = 2/3 = 66.67%
Chance to wound (S4 vs T4) = 1/2 = 50.00%
Chance to save = 5/6 + (1/6)(1/3) = 15/18 + 1/18 = 8/9 = 88.89%
Hence the chance that a single shot will cause
AT LEAST 1 one un-saved wound is
(chance to Hit)*(Chance to wound)*(chance to fail save) = (2/3)*(1/2)*(1 - 8/9) = 1/27 = 3.70%
Ok...Now if you want to figure out what the chances of causing EXACTLY k unsaved wounds with n shots (k<n or k=n) then you go into excel and type into a cell
= BINOMDIST( k , n , 1/27 , FALSE)
The odds get small when n is large and either k or (n-k) is small. For example, the odds of causing exactly 5 wounds with 7 shots are literally one in a million...1.35712 in a million to be exact. For our purposes, the odds are 0.00%.
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