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Arbitrage Calculator

Find guaranteed profit by betting on every outcome across different bookmakers. Enter the best odds for each outcome and see if an arb opportunity exists.

Setup

Home/Away — win/loss markets (most common)

Amount you want to spread across all bets

Outcome Odds

Enter the best odds available at any bookmaker for each outcome.

Quick Odds Reference

American Decimal Fractional +1002.001/1 +1502.503/2 -1101.9110/11 -2001.501/2 +3004.003/1
Full odds converter →

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Total Investment

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Guaranteed Profit

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ROI

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Optimal Stakes per Outcome

Outcome Decimal Odds Stake Payout Bookmaker
Enter odds to see optimal stakes

Implied Probability Breakdown

Enter odds to see probability breakdown

Total implied probability --%

If total < 100%, an arb opportunity exists (the gap = your profit margin)

What Is Sports Betting Arbitrage?

Sports betting arbitrage (also called "arbing" or "sure betting") is the practice of placing bets on all possible outcomes of a sporting event across different bookmakers, in proportions that guarantee a profit regardless of the result.

It works because different bookmakers set their own odds, and occasionally the combination of their best odds creates a total implied probability below 100%. That gap below 100% is your guaranteed profit margin.

For example: if Bookmaker A offers Team A at 2.10 and Bookmaker B offers Team B at 2.05, the implied probabilities are 47.6% and 48.8% — totalling 96.4%. Betting proportionally locks in a 3.6% profit no matter who wins.

How to Use This Calculator

  1. Choose 2-way or 3-way depending on the market (most are 2-way)
  2. Select your preferred odds format (decimal is easiest)
  3. Enter the best available odds for each outcome from any bookmaker
  4. Set your total investment amount
  5. If the arbitrage % is below 100%, you have a profitable opportunity
  6. Place each stake exactly as shown in the table

Risks & Important Warnings

  • Account bans: Bookmakers actively detect and ban arbers. Expect account limitations or closures.
  • Odds changes: Odds can shift between placing your first and last bet — window closes fast.
  • Voided bets: If one leg is voided, your hedge collapses and you may lose.
  • Maximum bet limits: Books may cap your stake below what's needed.
  • Withdrawal delays: Having funds spread across multiple books creates liquidity friction.

The Math Behind Arbitrage

Arbitrage % Formula

Arb% = (1/Odds₁ + 1/Odds₂) × 100

If Arb% < 100 → Profit opportunity
If Arb% > 100 → No arb (bookmaker wins)

Optimal Stake Formula

Stake_n = Total × (1/Odds_n) / Arb%

Profit = Total × (1 - Arb%) / Arb%

ROI = (1/Arb% - 1) × 100%

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