I know there is already a question regarding the average damage impact on this style and I have been successful to calculate this damage increase myself.
Yet I was more interested in knowing the cumulative chance of rolling <= a certain amount of damage.
I did some spreadsheet calculation and I only got to a total chance of 99,77% to roll <=12. The average only shows 8,31, so I there is a small error which I am overlooking.
Can you explain me how to calculate the odds for each damage result?
How I calculated this: per damage outcome I calculated the chance of rolling it. 'Natural roll' + from re-rolling other results which have at least 1x '1' or '2' in the result.
For example the chance for 2 result with GWF:
P2gwf = P2* (P2+P3+P4/3)
P3gwf = P3 (P2+P3+P4/3)
with PX = chance to roll X on 2d6
I assume that all 1's and 2's that show up in a roll are re-rolled
So far the number crunching did confirm my intuition that 2d6 we roll 1's and 2's far more often than a d12, so will have more use for the Great Weapon Style.