, in which n = number of rounds performed, p = likelihood of successful, and q = probability of losing. The binomial distribution assumes a results of one unit to get a get, and 0 models for any reduction, instead of −1 units for your reduction, which doubles the selection of probable outcomes.
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As the volume of rounds improves, ultimately, the expected loss will exceed the regular deviation, over and over over. From the formula, we can easily see the regular deviation is proportional to the sq. root of the number of rounds played, even though the predicted reduction is proportional to the volume of rounds performed.
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