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(@ludovic)
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Voila:Suppose you make a series of 20 bets:

5 on double streets (p = 6/37 = 0.162),
5 on singles streets (p = 3/37 = 0.081),
3 on dozens (p = 12/37 = 0.324),
7 on an EC (p = 18/37 = 0.486)

To use the z-score formula, you need an average value for p, so you have to multiply each separate p by the number of bets, add up the total, and divide by the total number of bets made (20).

So,

5 x 0.162 = 0.81
5 x 0.081 = 0.405
3 x 0.324 = 0.972
7 x 0.486 = 3.402

Add them up - which gives 5.589, and 5.589/20 = 0.279. This is the average p which you use in the formula for z.



   
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