Odds-to-probability calculator

Enter odds in any format to see implied probability. Or enter your estimate to calculate fair odds.

Odds → probability

Odds format
Implied probability
40,00%
1 / decimal odds
Decimal odds
2,500

Probability → odds

Fair odds
2,50
decimal, no margin
American
+150
Fractional
3/2

Pure maths. No sign-in needed. Amounts are in USD, just like the platform.

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Formula

How odds become probability

  1. 01

    Convert to decimal odds

    American +150 = 1 + 150/100 = 2.50; −200 = 1 + 100/200 = 1.50. Fractional 3/2 = 1 + 3/2 = 2.50.
  2. 02

    Divide 1 by the odds

    Probability = 1 / decimal odds. 2.50 gives 1 / 2.50 = 40%.
  3. 03

    Reverse it: divide 1 by probability

    Fair odds = 1 / probability. A 40% probability gives odds of 2.50; 25% gives 4.00.

Example

Example: American odds −150

Questions

Frequently asked questions

What is implied probability?

The probability implied by a price: 1 / decimal odds. Odds of 2.50 imply 40%. The price includes margin, so it isn't an unbiased probability estimate.

Why convert probability to odds?

If you estimate 40%, fair odds are 2.50. A higher price has positive expected value under your estimate; a lower one does not.

Why do implied probabilities total more than 100%?

Sportsbook prices include margin. Calculate it in the margin tool. Best prices across sportsbooks totalling less than 100% create an arb.

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