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Binomial Probability

STATISTICS & ALGEBRA

Binomial Probability

Find the probability of exactly k successes in independent trials.

UNDERSTAND YOUR RESULT

How it works

Find the probability of exactly k successes in independent trials.

THE CALCULATIONP(X=k) = C(n,k)p^k(1−p)^(n−k)

Using this calculator

Enter independent trials, exact successes, success probability. P(X=k) = C(n,k)p^k(1−p)^(n−k).

What to keep in mind

Calculations use finite real numbers. Intermediate values are unrounded; very large or undefined results are rejected.

Frequently asked questions

Are my entries saved?

No. Calculator inputs remain in the current page and are cleared when you reload or leave. The tools do not upload your entries.

Why are results rounded?

The display is rounded for readability. Calculations use unrounded intermediate values. An estimate should not be interpreted as an exact measurement.