Poisson Distribution Calculator
Math ToolsChance of k events in a fixed time or space
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History
All history →Poisson Distribution Calculator — at a glance
Find the chance of a given number of random events.
How to use it — step by step
The average number of events (λ) and k.
Enter your values
Fill in the fields. Default numbers are shown so you can see how it works.
Press Calculate
The answer appears at once as large result cards.
Copy or share
Copy the result, or share a link that opens with your numbers filled in.
Pro tips
Small things that make the result better.
Quick facts
Frequently Asked Questions
What is λ?+
The expected average number of events in your time or space interval.
When is Poisson used?+
For counting rare, random events such as arrivals, errors or accidents.
Is my data safe?+
Yes. Everything runs inside your own browser. Your text, files and images are never uploaded to any server.
Is this tool really free?+
Yes — completely free, no signup, no watermark and no usage limit.