Calculate arbitrage opportunities and guaranteed profit from different bookmakers
Configure the arbitrage calculation
Enter the best odds available for each outcome
6.93% guaranteed profit opportunity
Total Stake
$1,000
Arbitrage %
6.93%
Guaranteed Profit
$74
ROI
7.44%
Common arbitrage scenarios
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Understanding arbitrage betting
Arb% = 100 - (100/odds1 + 100/odds2)
If result > 0, arbitrage exists
Stake = TotalStake × (1/odds) / Σ(1/odds)
Ensures equal returns regardless of outcome
TL;DR summary
A sure bet (arbitrage) exists when the combined implied probabilities from different bookmakers total less than 100%. For two outcomes with decimal odds 2.20 and 2.10: Implied Prob = (1/2.20) + (1/2.10) = 45.45% + 47.62% = 93.07%. Since 93.07% < 100%, this is a 6.93% arbitrage. On a $1000 total stake, you'd profit ~$69.3 guaranteed.
Important things to know
Common questions about arbitrage betting
A sure bet (also called arbitrage, arb, or surebet) is a betting strategy where you place bets on all possible outcomes of an event across different bookmakers, guaranteeing a profit regardless of the result. This works when the combined implied probabilities of all outcomes total less than 100%.
Convert all odds to implied probabilities (1/decimal odds × 100), then sum them. If the total is less than 100%, an arbitrage exists. The profit percentage equals 100% minus the total implied probability. For example, if outcomes sum to 95%, you have a 5% guaranteed profit margin.
Stake inversely proportional to the odds to guarantee equal returns. Stake on Outcome A = (Total Stake × Implied Prob of A) / Total Implied Probability. This ensures you win the same amount regardless of which outcome hits.
Bookmakers don't intentionally allow it - arbitrage opportunities arise from price discrepancies between different bookmakers. Each bookmaker prices events independently based on their own liability and information. These gaps create temporary arbitrage windows.
Risks include: account limitations/closures by bookmakers, odds changing before placing all bets, palpable error rules voiding winning bets, and betting limits preventing optimal stakes. Always read bookmaker terms carefully.
Typical arbitrage opportunities offer 1-5% profit margins. A 3% margin on $1,000 total stake yields $30 profit. While individual profits are small, they're guaranteed. Professional arbers may process hundreds of bets monthly.
Calculations follow the published mathematics of the game — combinatorics for cards, probability theory for dice, and expected-value accounting for wagers. Results are verified against independent references (primarily Wizard of Odds). No calculation here is an opinion or recommendation; it is arithmetic applied to the rules of the game.
This tool computes probability and expected value. It is not a betting system and cannot predict the outcome of any individual wager. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER.
Actuary; widely cited casino-game probability reference. Used for house-edge and EV verification.
Responsible-gambling guidance and 1-800-GAMBLER helpline.

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