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At least one probability calculator

Enter probabilities as values from 0 to 1.

Probability: —

Fill in the fields above — the result is computed on this page.

Branch probabilities

Bars show the calculated outcomes.

Calculation branches

Event Probability
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • Probabilities must stay between 0 and 1.
  • Define events before entering numbers.

The result assumes the supplied conditional probabilities are correct; repeated-trial mode assumes independence.

How do I use this page?
  1. Enter inputs.
  2. Check the branches and formula.

What this page does not do: The result assumes the supplied conditional probabilities are correct; repeated-trial mode assumes independence.

Further reading

Theory — how is the probability of at least one event calculated?

This calculator estimates the chance that at least one of several independent events occurs. Probabilities are entered as decimal values between 0 and 1, so 25% becomes 0.25. The tool applies the complement rule together with the multiplication rule: it first finds the probability that none of the events happen, then subtracts that result from one, showing every intermediate step.

Frequently asked questions

Can I enter percentages?
Use decimals: 25% is 0.25.

See also

← All calculators

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Offline app and draw notifications

My saved selections

Selections saved only in this browser. Numbers are shown exactly as saved; this is not a lottery ticket.

Open the My saved selections hub
Restore with preview

Restore in the hub: review the file and confirm first. Both old backups and the complete selections + journal backup are supported. Nothing is uploaded.