Sports Arbitrage Calculator

Arbitrage betting (also called 'arbing' or 'sure betting') means placing proportional bets on every possible outcome of an event across different bookmakers. Because each bookmaker sets odds independently, discrepancies occasionally arise that allow you to cover all outcomes and guarantee a profit regardless of the result.

Enter the decimal odds for each outcome and your total stake. The calculator converts each set of odds into an implied probability, sums them, and checks whether the total is below 100%. If it is, an arbitrage exists. It then allocates your stake proportionally across each outcome so that every result returns the same guaranteed payout.

The arbitrage percentage is the sum of the implied probabilities (1 / decimal odds) for all outcomes expressed as a percentage. A value below 100% means a profitable arb exists — the lower the percentage, the bigger the margin. A value above 100% means there is no arbitrage and you would lose money regardless of the outcome.

Suppose Bookmaker A offers 2.10 on Team A to win and Bookmaker B offers 2.05 on Team B to win. The implied probabilities are 1/2.10 + 1/2.05 = 47.6% + 48.8% = 96.4%, which is below 100%. On a $100 total stake you would bet $49.40 on Team A and $50.60 on Team B, returning about $103.74 whichever team wins — a $3.74 guaranteed profit.

Arbitrage involves placing bets at the time the odds discrepancy is identified, locking in a guaranteed profit from the start. Hedging typically refers to placing a second bet after your initial bet to reduce risk or lock in a profit following a line movement — for example, cashing out after your team goes ahead.

Bookmakers set odds independently based on their own models, risk exposure, and the bets they have already accepted. They also adjust lines to balance their books and manage liability. These independent processes inevitably create small discrepancies that sharp bettors exploit for arbitrage.

The main risks include accounts being limited or closed by bookmakers who identify arbers, odds changing before both bets are placed, maximum stake restrictions preventing you from placing the required amounts, and human error when entering stakes or odds. Arbing is legal but bookmakers may restrict or ban accounts they consider unprofitable.

Yes. Enable the third outcome option and enter the odds for the draw (or third result). The calculator will allocate your stake across all three outcomes and check whether the combined implied probabilities fall below 100%, indicating a three-way arbitrage opportunity.