Here's a spreadsheet I made for z-score calculation for the following games:
No zero roulette
Single zero roulette
Double zero roulette
Baccarat
@Victor: I couldn't attach the spreadsheet here, it says:
Hi Marven, your spreadsheet is nice but it equals the z-score to the SD.
For instance: 1000 trials, strait bet, 48 hits, result= +4,09
Is the same result for the z-score and SD.
The formula I use for the binomial SD is: Square root of the sample times the prob to win plus the prob to lose.
This formula gives us the value of 1 sd.
square root of 1000x(1/37)x(36/37)=5,12
The mean is 27