Statistics & probability

Information content of an event calculator

Convert a single outcome probability into its information content.

Your numbers

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Your result

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Enter your inputs and select Calculate.

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Behind the numbers

How this calculation works

Convert a single outcome probability into its information content.

THE FORMULAI=−log₂(p)

A worked example

An outcome with a one-in-eight probability carries 3 bits of information.

Good to know

This measures surprise for an outcome. Entropy averages it over possible outcomes.

Read the result

Convert a single outcome probability into its information content.

The primary result is labeled “Information (bits)”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

This measures surprise for an outcome. Entropy averages it over possible outcomes.

For a related exercise, try the statistics calculator.

A few questions, answered

How can I check the default inputs by hand?

An outcome with a one-in-eight probability carries 3 bits of information.

Which rule does this calculator apply?

I=−log₂(p)

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