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Free Tool · Sports Betting Maths

BOOKMAKER MARGIN CALCULATOR

Enter the decimal odds for every outcome of one market and see what the book is charging: the overround, the margin, the payout rate and the fair odds with the margin removed. Use the 3-way setting for 1X2 football prices and 2-way for handicaps, totals, tennis and anything else with two outcomes.

AM
Built by Alex Mercer · Crypto-casino analyst
Pure arithmetic, no odds feed — see our methodology · Last updated
Enter the Market
American or fractional prices? Convert them first with the odds converter.
Results
Implied probabilities total (overround)—
Bookmaker margin—
Payout rate—
Fair odds (margin removed)—
Reading—
WORKED EXAMPLES

Illustrative prices, computed with the formula below. They are not quotes from any bookmaker.

MarketOddsOverroundMarginPayout rateFair odds
Tennis, two-way1.91 / 1.91104.71%4.71%95.50%2.00 / 2.00
Handicap, two-way1.95 / 1.95102.56%2.56%97.50%2.00 / 2.00
Lopsided two-way1.80 / 2.00105.56%5.56%94.74%1.90 / 2.11
Football 1X22.10 / 3.50 / 3.65103.59%3.59%96.54%2.18 / 3.63 / 3.78
Football 1X22.00 / 3.40 / 3.60107.19%7.19%93.29%2.14 / 3.64 / 3.86

Not sure which to choose? See what we recommend for each type of player.

Calculating the margin by hand

A bookmaker’s margin is the amount by which a market’s implied probabilities exceed 100%. Turn each decimal price into a probability with 1 ÷ odds, add them, and subtract 1. For 2.10 / 3.50 / 3.65: 0.476 + 0.286 + 0.274 = 1.036, a 3.6% margin. If every outcome were priced fairly the probabilities would sum to exactly 1, and a bettor backing all of them in proportion would get every stake back. The margin is what stops that from happening.

Margin and payout rate

The payout rate states the same thing the other way round: 1 ÷ overround. A 103.6% market pays out 96.5% of the money staked on it on average, and keeps 3.5%. That is slightly less than the 3.6% margin figure because the margin is measured against fair probabilities and the payout rate against stakes. Either number works for comparisons, as long as you use the same one for every book.

Fair odds and their limits

To strip the margin out, divide each implied probability by the total and invert it, which is the same as multiplying each price by the overround: 2.10 × 1.036 = 2.18. That proportional method assumes the book spread its margin evenly. In practice many books load more of it onto longshots, so the fair price of a heavy favourite tends to be a little shorter, and of a big underdog a little longer, than the proportional figure suggests. For two-way markets, the odds converter gives the same no-vig price for a single selection.

Exchange commission as a margin

A betting exchange charges commission on net winnings instead of building a margin into the price. The two can be compared by converting the commission. On a fair even-money back bet at 2.00, a commission c leaves a net price of 2 − c, which is an effective margin of 2 ÷ (2 − c) − 1:

Commission on winningsNet price of a 2.00 back betEffective margin
2%1.981.0%
3%1.971.5%
5%1.952.6%

Commission falls only on winning bets, so at the same headline percentage it costs less than a bookmaker margin. Exchanges also take a spread between back and lay prices in thin markets, so read the price you can actually match, not the best one on the screen.

Accumulators multiply the margin: each leg carries its own margin, so a four-leg accumulator at 5% per leg keeps about 17.7% of stakes on average. The full table is on our football betting guide.
FREQUENTLY ASKED QUESTIONS
Convert every outcome’s decimal odds to an implied probability (1 ÷ odds), add them up and subtract 100%. A 1X2 market priced 2.10 / 3.50 / 3.65 gives 47.6% + 28.6% + 27.4% = 103.6%, so the margin is 3.6%. The same method works for any market where exactly one outcome wins.
They describe the same price from opposite ends. The payout rate is 100% ÷ the implied-probability total: a 103.6% market pays back 96.5% of the money staked across all outcomes on average. A 4.7% margin (1.91 / 1.91) is a 95.5% payout rate.
Lower is better, and the market type matters more than the book. Two-way main lines such as handicaps and totals at sharp books are often priced near 2–3%; a typical 1.91 / 1.91 line is 4.7%; three-way match odds commonly run higher; player props and outright markets usually carry far more. Compare the same market across books rather than against a single benchmark.
The calculator divides each outcome’s implied probability by the market total and inverts it, which is the same as multiplying each price by the total. 2.10 in a 103.6% market becomes about 2.18. This proportional method spreads the margin evenly; bookmakers often load more of it onto longshots, so treat the fair price of a heavy underdog as an upper estimate.