PolyOddsTools
Odds conversion guide

How to Calculate Implied Probability

Convert decimal, American, and fractional odds into implied probability and understand what the result does and does not mean.

Implied probability expresses an odds quote as a break-even percentage. It is useful for comparison, but a bookmaker quote usually includes margin.

Last reviewed: 2026-08-10

Decimal odds

Divide one by decimal odds. Decimal odds of 2.50 imply 40%, while 1.67 implies about 59.9%.

American odds

For positive odds, divide 100 by the odds plus 100. For negative odds, divide the absolute value by that value plus 100.

Fractional odds

For a fraction A/B, divide B by A plus B. Fractional odds of 3/2 imply 2 divided by 5, or 40%.

Implied is not the same as fair

A complete market can add to more than 100% because of margin. Use a no-vig calculation before treating a market quote as a fair probability estimate.

Step-by-step workflow

  1. 1Identify the odds format.
  2. 2Apply the matching conversion formula.
  3. 3Express the result as a percentage.
  4. 4Check market margin before interpreting it as fair probability.

Frequently asked questions

Can implied probability exceed 100%?

A valid individual outcome should not, but the probabilities across a priced market commonly sum above 100% because of margin.

What does +200 imply?

Positive American odds of +200 imply approximately 33.33%.