Mathlean · Online math workspace

Binomial distribution calculator

Calculate probabilities for a fixed number of independent Bernoulli trials.

How to use this calculator

Edit PDF(BinomialDistribution(trials,success probability),success count). Use CDF for a cumulative probability.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

PDF⁡(BinomialDistribution⁡(5,0.5),2)\operatorname{PDF}\left(\operatorname{BinomialDistribution}\left(5,0.5\right),2\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

The model assumes independent trials with the same success probability; the count is an integer.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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