Free Hypergeometric Distribution Calculator - Calculates the probability of drawing x objects out of a subgroup of k with n possibilities in a total group of N using the hypergeometric distribution.

This calculator has 4 inputs.

This calculator has 4 inputs.

P(x;n,N,k) = (_{k}C_{x}) * (_{N - k}C_{n - x})/_{N}C_{n}

μ = nk/N

σ^{2} = nk(N - k)(N - n)/N^{2}(N - 1)

For more math formulas, check out our Formula Dossier

μ = nk/N

σ

For more math formulas, check out our Formula Dossier

- combination
- a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
_{n}P_{r}= n!/r!(n - r)! - distribution
- value range for a variable
- event
- a set of outcomes of an experiment to which a probability is assigned.
- factorial
- The product of an integer and all the integers below it
- hypergeometric distribution
- discrete probability distribution that describes the probability of k successes (random draws for which the object drawn has a specified feature) in ndraws, without replacement
- mean
- A statistical measurement also known as the average
- permutation
- a way in which a set or number of things can be ordered or arranged.
_{n}P_{r}= n!/(n - r)! - probability
- the likelihood of an event happening. This value is always between 0 and 1.

P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes - standard deviation
- a measure of the amount of variation or dispersion of a set of values. The square root of variance
- variance
- How far a set of random numbers are spead out from the mean