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Hypergeometric Distribution

Hypergeometric distribution describes the probability of x successes (random draws for which the object drawn has a specified feature) in n draws, without replacement, from a finite population of size N that contains exactly M objects with that feature, wherein each draw is either a success or a failure:
P(X=x) =
 ( M x ) ( N-M n-x )
 ( N x )

N>0, M>0, M≤N, 0<n≤N, 0≤x≤M, x≤n

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# Calculator

Total population size:N =

Subpopulation size:M =

Sample size:n =

Calculate the probability of x successes:
x =
Calculate the total probability of values of x from the interval x1 - x2:
x1 = x2 =

P(X = x):

P(X ≤ x):

P(X ≥ x):

Mean:

### Tool Description

Hypergeometric Distribution Calculator is a free online tool for calculations of probabilities of events following hypergeometric distribution.