Statistics

Binomial probability calculator

Calculate binomial probability with explicit inputs, validation, and a documented formula.

Binomial probability calculator

Result0.205078125

How to use this tool

  1. Enter the known values.
  2. Select Calculate to process the inputs.
  3. Review the result, formula, and calculation steps.

Worked example

Follow this example to see the method in practice.

Formula

P(X=k) = C(n,k)p^k(1-p)^(n-k)

Frequently asked questions

Formula

The formula below shows how the result is calculated.

Important information

Results are estimates for general informational purposes. Check important decisions with an appropriate professional or primary source.