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Hypergeometric Probability

Hypergeometric probability is the probability that an n-trial hypergeometric experiment results in exactly x successes, when the population consists of N items, k of which are classified as successes.

Hypergeometric probability is denoted by h(x; N, n, k) and can be computed according to the hypergeometric formula below.

Hypergeometric Formula. Suppose a population consists of N items, k of which are successes. And a random sample drawn from that population consists on n items, x of which are successes. Then the hypergeometric probability is:

h(x; N, n, k) = [ kCx ] [ N-kCn-x ] / [ N Cn ]

where kCx is the combination of k things taken x at a time.

See also:   Statistics Tutorial: Hypergeometric Probability | Hypergeometric Calculator