, wherever n = variety of rounds played, p = probability of profitable, and q = chance of dropping. The binomial distribution assumes a results of 1 device for your get, and 0 models for any decline, as an alternative to −one units for your loss, which doubles the choice of achievable results.
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As the amount of rounds increases, sooner or later, the anticipated reduction will exceed the standard deviation, often times around. With the formulation, we can see the standard deviation is proportional to your square root of the quantity of rounds played, even though the expected reduction is proportional to the volume of rounds played.
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