Binomial Probability Calculator

Binomial Probability Calculator lets you binomial probability multiplies n choose k by p^k and (1−p)^(n−k). Enter your own values or load the worked example.

Method and calculation

Binomial probability multiplies n choose k by p^k and (1−p)^(n−k).

Inputs and settings

Binomial Probability Calculator accepts Number of trials (minimum 1, maximum 100); Exact successes (minimum 0, maximum 100); Success probability (minimum 0, maximum 1).

Worked example

Binomial Probability Calculator example — Number of trials: 10; Exact successes: 3; Success probability: 0.5. Computed output: { "probability": 0.1171875 }

Output and limitations

Binomial Probability Calculator: Use finite inputs. Results use double-precision arithmetic.

Technical references: JavaScript numerical operations

Binomial Probability Calculator FAQs

Binomial Probability Calculator applies the following rule to your input: Binomial probability multiplies n choose k by p^k and (1−p)^(n−k). The worked example on this page uses the same processor as the result button.
Binomial Probability Calculator has these boundaries: Use finite inputs. Results use double-precision arithmetic. Start by checking the number of trials field against the units or format shown.
Binomial Probability Calculator provides this sample: { "probability": 0.1171875 }. Use the sample button to reproduce it, then replace the inputs with your own values.