Hypergeometric Distribution Probability Calculator

Free Online Hypergeometric Distribution Probability Calculator, Enter Value of Population size (N), Number of successes in population (K), Sample size (n) & Number of successes in sample (k), then hit on "Calculate" button and get result of Hypergeometric probability P(X=2), Cumulative probability P(X<2), Cumulative probability P(X≤2), Cumulative probability P(X>2) and Cumulative probability:P(X≥2).

Calculation results

Hypergeometric Distribution Probability Calculator

Hypergeometric Distribution Formula:

Factorial:

\( x! = x \times (x-1) \times \ldots \times 1 \)

Combination (Binomial Coefficient):

\( \binom{n}{k} = \frac{n!}{k!(n-k)!} \)

Hypergeometric Probability Formula:

\( P(X = k) = \frac{\binom{K}{k} \binom{N-K}{n-k}}{\binom{N}{n}} \)