100,000 hands

[pzhon]

The standard deviation for live limit play is usually expressed in BB/hour, which technically should be BB/sqrt(hour). For online limit games, the standard deviation is usually expressed in BB/(100 hands).

After n independent periods, the standard deviation of your result is sqrt(n) times as great. The standard deviation of your observed win rate per period is smaller byb a factor of sqrt(n).

So, if your standard deviation is 15 BB/100 (a typical figure for online limit full ring), then after 10,000 hands the standard deviation of your total result is about 150 BB, and the standard deviation of your observed win rate is about 1.5 BB/100.

The main assumption is independence, that your results in this batch of 100 hands tells you nothing about how you will do in the next 100. This is not necessarily true if you tilt, but tilt is not a rational phenomenon. So, it is usually ignored.