Implied Probability Calculator
Implied probability is what a price says about the chance of an outcome. Convert odds into a percentage below, or go the other way and turn your own estimate into the fair price you would need.
Odds to probability
Odds format
Implied probability
40.00%
Includes the bookmaker's margin.
Expressed as
1 in 2.5
How often the price says this lands.
Probability to fair odds
Fair decimal odds
2.50
Break-even price with no margin.
Fair American
+150
Fair fractional
3/2
The formulas
implied probability = 1 ÷ decimal odds × 100
fair decimal odds = 100 ÷ probability%
market total = sum of every outcome's implied probability
fair probability = outcome probability ÷ market total
Only the last line removes the margin, and it needs every outcome in the market — a single price cannot tell you the bookmaker's true estimate.
Odds and the chance they imply
| Decimal odds | Implied probability | Roughly |
|---|---|---|
| 1.10 | 90.91% | 9 times in 10 |
| 1.50 | 66.67% | 2 times in 3 |
| 2.00 | 50.00% | a coin flip |
| 3.00 | 33.33% | 1 time in 3 |
| 5.00 | 20.00% | 1 time in 5 |
| 10.00 | 10.00% | 1 time in 10 |
| 21.00 | 4.76% | 1 time in 21 |
| 51.00 | 1.96% | 1 time in 51 |
Common mistakes
- Treating implied probability as truth. It is the price's view with margin included, not a measured frequency.
- Comparing your estimate against the raw implied figure. Strip the margin out first with the bookmaker margin calculator.
- Assuming a small edge is real. A 1–2 percentage-point difference is usually inside the error bars of your own estimate.
Frequently asked questions
Related calculators
- Bet Payout CalculatorWork out exactly what a single bet returns and what profit is left after your stake.
- Odds ConverterMove between decimal, American and fractional odds without a lookup table.
- Bookmaker Margin CalculatorMeasure the overround baked into a market and see the fair odds without it.
- Kelly Criterion CalculatorSize a stake from your own probability estimate — and see when the maths says zero.
Last reviewed: 24 August 2026. Formulas on this page are checked against the unit test suite that powers every bet.ing calculator.