In
probability theory and
statistics, the hypergeometric distribution is a discrete
probability distribution that describes the number of successes in a sequence of n draws from a finite
population without replacement.A typical example is illustrated by this
contingency table: There is a shipment of N objects in which m are defective. The hypergeometric distribution describes the probability that in a
sample of n distinctive objects drawn from the shipment exactly k objects are defective.In general, if a
random variable X follows the hypergeometric distribution with parameters N, m and n, then the probability of getting exactly k successes is given by
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