basic

Hypergeometric Distribution Urn Model Calculator

P(X=k) = C(K,k)·C(N-K,n-k)/C(N,n) — sampling without replacement.

Calculates the hypergeometric probability of drawing exactly k successes from a finite population without replacement.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P(X=k) = C(K,k)×C(N−K,n−k)/C(N,n)

In depth

Calculates the hypergeometric probability of drawing exactly k successes from a finite population without replacement.