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Hypergeometric Distribution Probability Calculator

This calculator finds hypergeometric probabilities associated with a provided population size (N), number of draws (n), number of success states (K) and number of observed successes X.

Enter the required values, then click the Calculate button.

P(X = ):

P(X < ):

P(X ≤ ):

P(X > ):

P(X ≥ ):

About the Hypergeometric Distribution

The hypergeometric distribution is a discrete probability distribution that describes the probability of X successes occurring in n draws, without replacement from a finite population size N, with exactly K success states, where each draw can either be a success or a failure. The hypergeometric distribution differs from the binomial distribution, describing the probability of k successes in n draws with replacement.