Re: How long will u need to play to ensure a positive return
For simplicity I am going to use 3X std deviation for simplicity which will give you a 99.9+% chance of a gain.
F(N) is the lower bound of loss for a given number, N, hands.
F(N)= 20*N - 3*100*(N)^.5
By setting F(N) to zero you will find out at what value of N your EV finally outweighs standard deviation.
0=20N-300(N)^.5
N^.5=15 and N=225. So after 225 you have a 99.9+% chance to be positive assuming that the assumption about your EV is correct.
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