Statistics & Probability

Odds Converter

Convert a probability into the common odds formats.

Your numbers

Your results

Decimal odds
Decimal odds
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Fractional odds
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American odds
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Odds against : for
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Odds Converter by TheCalcTools

How the Odds Converter works

Enter the probability of the outcome as a percentage.

Decimal odds are the reciprocal of the probability.

Fractional odds are the chance of not happening divided by the chance of happening.

The formula

decimal = 1 ÷ pfractional = (1 − p) ÷ p

Worked example

Using the default values shown in the calculator:

Probability (%)25
  1. Decimal odds = 100 ÷ 25 = 4.00.
  2. Fractional odds = 75 ÷ 25 = 3.000 to 1.
  3. American odds = +300.

Result:

Decimal odds4.000
Fractional odds3.000 to 1
American odds+300
Odds against : for75.00 : 25.00

Frequently asked questions

What do the plus and minus signs mean in American odds?

A plus number is the profit on a 100 stake for an underdog. A minus number is the stake needed to win 100 on a favourite.

Do bookmakers' odds equal true probabilities?

No. Odds include the bookmaker’s margin, so implied probabilities usually add up to more than 100%.

Sources and further reading

More in Statistics & Probability · All calculators

This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.