Independent event combination calculator

Calculate all occur and at least one with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use all occur and at least one to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Independent event probabilities
0.5,0.5
All occur
0.25
At least one
0.75

Try another scenario

Independent event probabilities
1,1
All occur
1
At least one
1
Calculation method

Calculation method

All occur

Multiply the independent event probabilities.

At least one

Use −expm1(sum(log1p(−p))) to compute one minus the probability that none occurs; an event with probability one makes this result one.

Symbols and units
a
Independent event probabilities

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

sum(list) adds all entries in the list.

Assumptions & limits

Assumptions & limits

  • The product rules here require independent events. Lists support up to 1,000 finite values.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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