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Poisson Point Probability

Estimate the chance of exactly k events at a constant average rate.

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Local calculations. Results are estimates, not professional advice.

Exactly k events

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Assumes independent events and a constant rate over a fixed interval.

Formula

P(X=k)=e⁻λ λᵏ/k!

Estimate the chance of exactly k events at a constant average rate.

Worked example

Expected events λ
3
Event count k
2
Exactly k events
22.4041807655 %

Scope and limitations

Assumes independent events and a constant rate over a fixed interval.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: cc16cf1ecf05 · Example checked:

Methodology

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