Normality of winrates

[cwes]

In this thread the question whether poker winrates are normally distributed came up (as normality is often assumed for calculating ROR).

I ran my per hand winrates for 90k hands through every possible test for normality contained in the R software package and each test rejected normality pretty badly.

Even by looking at a histogram of my winrates I can tell they cannot be normally distributed (and it's not even close).

I would like to hear some comments from you guys.