Guide
Implied probability, fair price and value
Updated 12 November 2026 · 3 min read
Implied probability is 1 divided by the decimal odds. Across all the results of a match those chances add up to more than 100 %, and the extra is the bookmaker's margin. Divide each chance by the total and you have the market's fair chances and fair prices. A bet has value when your chance times the price is more than 1.
Implied probability
Every price implies a chance: 1 divided by the decimal odds. A price of 2.00 implies 50 %, a price of 4.00 implies 25 % and a price of 1.25 implies 80 %. Fractional and American prices work the same once they are turned into decimal; the odds converter does that for you.
The bookmaker's margin
Price a coin toss fairly and each side is 2.00. A bookmaker prices both sides lower, say 1.91 each, and keeps the difference. Add up the implied chances of every result in a market and the total is above 100 %. The excess is the margin, also called the overround.
| Result | Price | Implied chance | Fair chance | Fair price |
|---|---|---|---|---|
| Home win | 2.10 | 47.6 % | 45.4 % | 2.20 |
| Draw | 3.40 | 29.4 % | 28.1 % | 3.56 |
| Away win | 3.60 | 27.8 % | 26.5 % | 3.77 |
| Total | 104.8 % | 100 % |
Here the implied chances total 104.8 %, so the margin is 4.8 %.
Finding the fair price
To take the margin out, divide each implied chance by the total. For the home win, 47.6 % ÷ 104.8 % = 45.4 %. The fair price is one over that fair chance: 1 ÷ 0.454 = 2.20. These are the market's own estimate of each result with the bookmaker's cut removed. This simple method spreads the margin evenly across the results; sharper methods put more of it on the longer prices, but the idea is the same.
A fair price is the price at which a bet would break even over many bets, if the chance were right.
What value means
A bet has value when its price is higher than the fair price for the true chance. Value is your chance multiplied by the price, less 1.
- You make a result 50 % likely and the price is 2.20: 0.50 × 2.20 - 1 = +10 %. Over many such bets you would expect to win 10 % of what you stake.
- At 1.90 the same bet is worth 0.50 × 1.90 - 1 = -5 %: a loser, although the result is just as likely.
Value depends on the chance being right, and chances are estimates. A bet with value on paper can still lose, and often does; value is about the long run, not the next match.
Why a likely bet is not always a good bet
A result that is 80 % likely is not a good bet at a price of 1.20, because it breaks even at 1.25. How likely a bet is tells you how often it wins; value tells you whether the price pays enough for it. Our tips need both: a likely market at a price better than its fair price. How it works has the rule in full.
Try it
The odds converter turns any price into a chance, and the value screen sets prices against our chances (the prices open with membership).
Questions
How do you calculate implied probability?
Divide 1 by the decimal odds. For fractional odds, turn them into decimal first (divide the fraction and add 1); for American odds, +150 is 2.50 and -150 is 1.67.
What is the overround?
The total of the implied chances of every result in a market, which is always above 100 %. The amount above 100 % is the bookmaker's margin.
What is a fair price?
One over the true chance of a result. It is the price at which a bet would break even over many bets. When a bookmaker pays more than the fair price, the bet has value.
How do I know whether a bet has value?
Multiply your chance by the decimal price and take away 1. If the answer is above zero, the bet has value, but only if your chance is right.
Read next
- Betting odds explained
What betting odds mean, how to read decimal, fractional and American odds, how to work out what a bet returns and the chance a price implies.
- Bankroll management and the Kelly criterion
How to size bets: what a bankroll and a unit are, how the Kelly criterion works with a worked example, and why we suggest a quarter of Kelly on our tips.
- Are football tips accurate?
No tip is sure. What accuracy means for football tips, why losing runs are normal and how to judge a tipster's record over a fair number of tips.
See today’s football tips and the other guides. You must be 18 or over. Betting carries the risk of losing money: only stake what you can afford to lose, and see responsible gambling if it stops being fun.