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Poisson probability

Find the probability of a count over a fixed interval.

How this works

P(X=k) = e⁻λ λᵏ/k!. Assumes independent events and a constant mean rate.

Example

Using the example inputs, probability is 0.2240418077.

Expected count in interval
3
Observed count
2
Probability
0.2240418077

Scope and assumptions

Extremely small probabilities may underflow to zero.

NIST statistical methods handbook

Related calculators

Factorial

Binomial probability

Permutations

Combinations

Normal interval probability

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