Hypergeometric distribution

In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k {\displaystyle k} successes (random draws for which the object drawn has a specified feature) in n {\displaystyle n} draws, without replacement, from a finite population of size N {\displaystyle N} that contains exactly K {\displaystyle K} objects with that feature, where in each draw is either a success or a failure. In contrast, the binomial distribution describes the probability of k {\displaystyle k} successes in n {\displaystyle n} draws with replacement.

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