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Binomial Probability Calculator

Find the probability of exactly a chosen number of successes in independent trials.

Your inputs

Your result

Enter your information and select Calculate to see the result.

How this calculator works

The binomial formula combines the number of arrangements with the probability of successes and failures.

Change one assumption at a time to see which inputs have the greatest effect on the estimate.

Worked example

Exactly two heads in three fair coin flips has probability 37.5%.

Limitations

This calculator is for educational use; verify important work independently.

Review this educational estimate against current quotes, official information, and your own budget before making a financial decision.