[jimmyfingers]

just wanted to point out that the standard deviation takes into account the sample size.

so you have the same probability of being 6 standard deviations from the expectation whether you have 100 hands or 100 million hands... the difference is, a standard deviation for 100 million hands will be much much smaller (relatively) than the standard deviation over 100 hands.

e.g. for winrate, a standard deviation over 100 hands might be something like 30BB/100, whereas a standard deviation over 100 million hands might be something like 0.01BB/100 (numbers made up).