Binomial frequency curve

Suppose we have a game with only two outcomes: success and failure. If the probability of success is *p* and the probability of failure is *q*, then we know that *p* + *q* = 1. Then suppose the game is played n times. There are two possible outcomes on each trial. It is possible for a player to win a few of those *n* trials and lose a few. If we let *k* be the number of wins that occur in *n* trials, we know that the number of different ways those wins can occur is (see combinations). The ...

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