Statistics calculator

Binomial Probability

Calculate probability using the binomial probability formula.

Binomial coefficient nCrSuccess probability pSuccesses rTrials n

Probability: -

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Calculation explained

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

Reference: Formulae and Tables, State Examinations Commission (2014), page 35. Supply the binomial coefficient nCr for the selected n and r.

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How the Binomial Probability works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 35. Enter values in consistent units.

Formula and inputs

combinations × Math.pow(p,successes) × Math.pow(1-p,trials-successes)

Inputs: Binomial coefficient nCr, Success probability p, Successes r, Trials n.

Using the result

The result is rounded to 6 decimal places. Check units, assumptions and significant figures before using the answer. Supply the binomial coefficient nCr for the selected n and r.