Implied Probability Calculator

See the probability behind the odds.

Result

29.41%

How it is calculated

The tool takes decimal odds (also called European odds), which show the total return per 1 unit staked, stake included. The implied probability is P = 100 ÷ odds, printed as a percentage with 2 decimal places. Decimal odds must be greater than 1.00. A value of 1 or less, a negative number and an empty box give no result, because odds of exactly 1.00 would mean a 100 % certainty with no profit. Fractional odds (5/2) and American odds (+250, −150) are not accepted; convert them to decimal first. The figure is the probability the bookmaker's price implies, margin included, and not a fair estimate of the true chance. It handles one outcome at a time and does not strip out the margin.

Worked example

A bookmaker offers decimal odds of 3.40 on a team to win. The implied probability is 100 ÷ 3.4 = 29.41, so the tool prints 29.41%. A 10 stake would return 34 in total, which is 24 of profit plus the stake. If you believe the team wins more than 29.41 % of the time, the bet may have value; if you think less, it does not.

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Common mistakes

  • Entering fractional odds such as 5/2 or American odds such as +250. Only decimal odds work; 5/2 is 3.50 in decimal and +250 is also 3.50.
  • Confusing profit with return. Decimal odds of 3.40 include your stake back, so the profit is 2.40 per unit, not 3.40.
  • Adding implied probabilities of all outcomes and expecting 100 %. Bookmaker margin makes the total higher, so a single result here is slightly too high as a fair probability.
  • Treating the output as the real chance of winning. It is only the price's implication; a team can be priced at 29.41 % and truly have 35 % or 25 %.
  • Typing odds of 1.00 or less, such as 0.5, and expecting a result. Decimal odds start above 1, so these entries return nothing.

About this calculator

Bookmakers express the price of a bet as decimal odds — a number like 2.50 that tells you your total return (stake included) for every 1 unit staked. Converting those odds into a probability is simple: implied probability = 1 / decimal odds, so 2.50 implies a 40% chance the bookmaker is pricing in. Because bookmakers build in a profit margin (the "overround" or "vig"), the implied probabilities across all outcomes of an event typically add up to more than 100% — the excess is the house edge.

Bettors use implied probability to judge whether odds represent good value: if your own estimate of an outcome's true probability is higher than the bookmaker's implied probability, the bet may be worth taking. It's also how bettors compare odds across bookmakers, spot arbitrage opportunities, and translate between American, fractional and decimal odds formats used in different markets (US sportsbooks vs. UK/European exchanges).

This calculator converts any decimal odds you enter into the implied win probability the bookmaker is quoting.

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