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Odds to probability

Implied probability calculator

Find the implied probability behind any price: this calculator turns decimal, fractional or American odds into the percentage a single quoted price represents.

Convert odds to implied probability

Implied probability is the percentage represented by a quoted price. It is a property of the odds, not a forecast that the outcome will happen.

JavaScript is required to run the calculator. The formula and example below remain available.

Quoted odds

Example: 2.50, 3/2 or +150 after selecting the matching format.

Results

Implied probability
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Decimal odds
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The quoted odds are calculated on this page and are not stored.

Formula and worked example

Implied probability = 1 / Decimal odds

Decimal odds of 2.50 imply a probability of 1 / 2.50 = 0.40, or 40%. Fractional odds of 3/2 and American odds of +150 represent the same price.

Why this is not a no-vig probability

A single implied probability does not reveal the bookmaker margin. You need the prices for every mutually exclusive outcome, add their implied probabilities, then normalise each one against that total. Use the vig calculator for that market-wide calculation.

Limits and responsible use

The result does not predict the outcome and does not account for settlement rules. UK-licensed operators must publish rules covering voids, errors, withdrawals and maximum payouts. See Gambling Commission LCCP 4.2.6.

Set a spending limit before gambling and do not chase losses. Read GambleAware's advice and our responsible gambling guidance.

Related tools and guides

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Frequently asked questions

How do you convert odds to a percentage?

Implied probability = 1 / decimal odds, expressed as a percentage. Decimal odds of 2.50 give 1 / 2.50 = 0.40, or 40%. For moneyline, negative odds use odds / (odds + 100) and positive odds use 100 / (odds + 100).

What does implied probability mean?

It is the chance of an outcome that a price represents. A shorter price implies a higher chance. It reflects what the market is charging, not a guarantee of what will happen.

Why do the probabilities add up to more than 100%?

Because the bookmaker's margin is included in every price. A two-way market at -110 on both sides implies 52.4% twice, or 104.8% in total. The 4.8% above 100% is the margin.

How do I get the true probability instead?

Divide each implied probability by the market total so they sum to 100%. That removes the margin proportionally and gives the fair, or no-vig, probability. The no-vig calculator does this for two to six outcomes.

Sources