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Binomial Probability Calculator

P(X = k) for a binomial distribution Bin(n, p).

Compute the binomial probability of getting exactly k successes in n independent trials, each with probability of success p.

Daniel Oh By Daniel Oh
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(n, k) · pᵏ · (1 − p)ⁿ⁻ᵏ

In depth

Compute the binomial probability of getting exactly k successes in n independent trials, each with probability of success p.