Binomial probability

If X has the binomial distribution with n trials and a probability p of a successful outcome per trial, then the binomial probability is

 

when k is a whole number less than or equal to n. 

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Example: If a professional basketball player has a lifetime average of 80% for sinking free throws, what is the probability that if he shoots 25 free throws, he will sink exactly 17 of those throws?

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