# Hypergeometric distribution chart

Calculates chart of an hypergeometric distribution.

## Notations

• X : a random variable following an hypergeometric distribution: `X ~ N(M, n, N)`

• M : population size

• n : number of successes in population

• N : number of draws

• P(X = k) : probability to have exactly k successful draws

• `([n], [k])` : binomial coefficient n choose k

`([n], [k]) = (n!)/(k! * (n-k)!)`

## Probability Mass Function (PMF)

`P(X = k) = (([n], [k]) * ([M-n], [N-k]))/(([M], [N]))`

## See also

Hypergeometric distribution probabilities

Inverse hypergeometric distribution

Hypergeometric distribution Measures

Statistics Calculators