What you provide
What you provide
- Mean event count, using the same scenario as the other inputs
- Observed event count, using the same scenario as the other inputs
MATH / PROBABILITY DISTRIBUTIONS
Poisson Probability Calculator
Calculate the probability of exactly k events under a Poisson count model. Review the symbolic equation, substituted values, interpretation boundary, and result in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate the probability of exactly k events under a Poisson count model. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
P(X=k)=e^-lambda lambda^k/k!
What you receive
What you receive
- Exact-event probability from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
Interpret the result only when the sampling design, independence, distribution, and measurement assumptions fit the data.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors