Probability

Hypergeometric Distribution

Compute P(X=k) when sampling without replacement from a finite population. P(X=k) = C(K,k)·C(N−K,n−k) / C(N,n).

Live Calculator · Step-by-Step · Probability

Inputs

N — population size

K — successes in population

n — sample size

k — target successes in sample

Result

Enter values and calculate.

P(X = k)

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P(X ≤ k)

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Mean μ

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= nK/N

Variance σ²

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Std Dev σ

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C(N,n)

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Step-by-Step Work

Your explanation will appear here.

Hypergeometric PMF — P(X = k)

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

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