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Odds to probability calculator

Convert odds in favour, odds against and decimal odds to probability. See percentages and the difference between these formats.

In decimal mode, a and b are ignored.

Probability implied by the input: —

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

Complement probability
—

What do these numbers mean?
  • We compute it from the formula shown below — not from a prediction model and not from draw history.
  • Odds in favour 1:4 give 20%; decimal odds 2.5 give 40%.
  • Check the direction: odds in favour and odds against give different probabilities.

Components a and b must be nonnegative and cannot both be zero. Decimal odds must be at least 1. The result converts notation; it is not a forecast or a betting recommendation.

How do I use this page?
  1. Load an example or enter your own data.
  2. Choose the calculation type and units where available.
  3. Read the result, additional measures and substituted formula.

What this page does not do: Components a and b must be nonnegative and cannot both be zero. Decimal odds must be at least 1. The result converts notation; it is not a forecast or a betting recommendation.

Further reading

Formula

p = a/(a+b); p = b/(a+b); p = 1/d
Theory — how do odds differ from probability?

The calculator converts odds written as a:b, as well as decimal odds, into a probability percentage. Odds in favour of 1:4 mean one favourable outcome against four unfavourable ones, giving p = 1/(1+4) = 20%, while odds against 1:4 give the reverse, p = 4/(1+4) = 80%. This is not the same as “1 in 4”, which equals 25%. Decimal odds of 2.5 convert to a 40% probability.

Frequently asked questions

How can I check the example?
Odds in favour 1:4 give 20%; decimal odds 2.5 give 40%.
What should I check before interpreting the result?
Components a and b must be nonnegative and cannot both be zero. Decimal odds must be at least 1. The result converts notation; it is not a forecast or a betting recommendation.

See also

← All calculators

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