Hypergeometric Distribution

Calculate Hypergeometric Distribution instantly with the exact formula and a worked example.

Hypergeometric Distribution

N
K (successes in N)
n (sample)
k (successes in n)
P(X=k)
0.20984
Calculate Hypergeometric Distribution instantly with the exact formula and a worked example.

More about: Hypergeometric Distribution

What it calculates

The “Hypergeometric Distribution” calculator computes P(X=k) from 4 parameters: n, k (successes in n), n (sample), k (successes in n).

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters N = 50, K (successes in N) = 10, n (sample) = 5, k (successes in n) = 2 the result is 0.2098.

How to use

  1. Enter n, k (successes in n), n (sample) and k (successes in n) — each field above is adjustable with a slider.
  2. P(X=k) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Hypergeometric Distribution calculated?
The Hypergeometric Distribution calculator computes P(X=k) from n, k (successes in n), n (sample), k (successes in n). Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Hypergeometric Distribution calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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