Implied probability explained
Implied probability is the chance a price is telling you an outcome will happen, expressed as a percentage. Convert it with one line of maths: implied probability = 1 ÷ decimal odds. So 2.00 = 50%, 4.00 = 25%, 1.50 = 66.7%. Once you can read a price as a percentage, you can compare a bookmaker's number against your own estimate, spot when a market has been shortened, and work out how much the built-in margin is costing you across a football coupon or a racing market.
This guide covers the formula, a worked Premier League example, how the overround inflates every price, and how implied probability links to finding value on the actual fixtures you're pricing up.
The formula: decimal odds to a percentage
For decimal odds, the maths is a single division:
- Implied probability = 1 ÷ decimal odds × 100
Run the common prices through it:
- 1.20 → 1 ÷ 1.20 = 83.3%
- 1.50 → 66.7%
- 2.00 → 50.0%
- 2.50 → 40.0%
- 3.00 → 33.3%
- 5.00 → 20.0%
- 10.00 → 10.0%
Short prices carry a high implied probability; long prices carry a low one. A 1.20 favourite is the market saying "this happens roughly 83 times in 100". That is the number to hold in your head, not the raw decimal.
If you bet in fractions, convert to decimal first: 5/2 = (5 ÷ 2) + 1 = 3.50, which is 28.6%. Evens (1/1) = 2.00 = 50%.
Worked example: a Premier League match
Take a typical Premier League match priced up in the 1X2 (match result) market:
- Home win: 1.90
- Draw: 3.60
- Away win: 4.20
Convert each price:
- Home 1.90 → 1 ÷ 1.90 = 52.6%
- Draw 3.60 → 27.8%
- Away 4.20 → 23.8%
Add them up: 52.6 + 27.8 + 23.8 = 104.2%.
In a fair market with no margin the three probabilities would total exactly 100%. The extra 4.2% is the bookmaker's overround — the cushion built into the prices. That is what stands between the posted odds and true probability.
To strip it out and estimate the "true" implied chance, divide each figure by the total:
- Home: 52.6 ÷ 104.2 = 50.5%
- Draw: 27.8 ÷ 104.2 = 26.7%
- Away: 23.8 ÷ 104.2 = 22.8%
Now they sum to 100%. Those adjusted numbers are a cleaner read of what the market actually thinks, with the margin removed.
Implied Probability Calculator
Overround: why the percentages beat 100%
The amount by which implied probabilities exceed 100% is the overround (or vig). It is the single most useful thing implied probability reveals, because it tells you how much room the price has been shaved by.
A tighter overround means prices sit closer to true probability, so more of any theoretical edge stays with you. On our sampled markets across UK bookmakers the average margins spread noticeably:
- Betfair: 4.6% average margin (sampled 278 markets)
- BetMGM: 5.2%
- Coral: 5.7%
- Ladbrokes: 5.9%
- Unibet: 5.9%
- Sky Bet: 6.5%
- Betway: 6.8%
- Paddy Power: 7.1%
- bet365: 7.4%
- BetVictor: 7.7%
- BoyleSports: 7.8%
Read those as factual margin averages from the sample, not a promise about any individual price. A 4.6% book and a 7.8% book on the same three-way football market are the difference between implied probabilities totalling around 104.6% and around 107.8%. Over a season of coupons, that gap compounds. It is also why shopping the same fixture across several books matters — see our betting odds United Kingdom pages for live prices.
Using implied probability to spot value
Value exists when your own estimated probability is higher than the market's implied probability. The rule:
- If your estimate > the price's implied probability → potential value bet.
- If your estimate < the implied probability → the price is too short.
Example. Say you rate an ATP Tour player at 60% to win a match. The bookmaker prices him at 1.80, which is an implied probability of 55.6%. Your 60% is above 55.6%, so on your read there is an edge. Flip it: if he were priced at 1.60 (62.5% implied), your 60% now sits below the market and there is no value.
The honest catch is that your estimate has to be good. The market's implied probability already bakes in team news, form and money flow. Implied probability doesn't hand you winners — it gives you a fair yardstick to test your own opinion against the posted price. Track how markets shift with our market movers feed and sharpen estimates using predictions.
Quick reference and margin per selection
Keep this table for fast conversions at match time:
- 1.10 → 90.9%
- 1.25 → 80.0%
- 1.40 → 71.4%
- 1.67 → 59.9%
- 1.80 → 55.6%
- 2.20 → 45.5%
- 3.50 → 28.6%
- 6.00 → 16.7%
- 11.00 → 9.1%
One practical point on multi-runner markets like horse racing or an outright: the more selections in the book, the larger the total overround tends to be, because a margin sits on every runner. A 12-runner handicap can total well over 120% once every price is converted. Divide each runner's implied probability by the book total to get the margin-free read, exactly as in the football example above. Our betting tools and horse racing odds pages help you compare those prices across bookmakers before you commit.
FAQ
What is implied probability in betting?
It is the percentage chance a set of odds implies for an outcome. For decimal odds, implied probability = 1 ÷ odds × 100. Odds of 2.50 imply a 40% chance.
How do I convert decimal odds to a percentage?
Divide 1 by the decimal odds and multiply by 100. For 1.90 that's 1 ÷ 1.90 × 100 = 52.6%. For 4.00 it's 25%.
Why do the implied probabilities add up to more than 100%?
Because the bookmaker builds a margin (overround) into the prices. A three-way football market might total 104–108%. The amount above 100% is the margin. Divide each selection by the total to strip it out and estimate the true probability.
How does implied probability help me find value?
Compare the market's implied probability with your own estimate. If you think an outcome is more likely than the price implies, there may be value. If your estimate is lower, the price is too short. The quality of your estimate decides whether that edge is real.
Which bookmaker has the lowest margin?
In our sample, Betfair posted the lowest average margin at 4.6%, followed by BetMGM at 5.2% and Coral at 5.7%. Lower margins mean prices sit closer to true probability, though individual markets vary — always compare the actual price on the fixture you want.
Do fractional odds work the same way?
Yes, once converted to decimal. Add 1 to the fraction divided out: 5/2 = 2.5 + 1 = 3.50 → 28.6%. Evens (1/1) = 2.00 → 50%.