Calculate modeled-profit stakes for soccer, hockey, and any three-outcome arbitrage opportunity. Enter the odds from three different sportsbooks and get exact stakes to lock in profit on every outcome.
Use the calculator →Three-way arbitrage covers markets where there are three possible outcomes: home win, draw, and away win. Soccer match result markets are the most common example. By placing bets on all three outcomes across different sportsbooks — where each book has priced a different outcome more generously — the combined implied probabilities can fall below 100%, creating a modeled return regardless of which team wins or whether the game ends in a draw.
Standard 2-way arb requires only two sportsbooks. A 3-way arb requires three different books offering competitive prices on three different outcomes simultaneously. The coordination window is tighter — odds move quickly, and you must place all three bets before any line shifts. Additionally, larger total stakes are spread across three books instead of two, requiring more capital to generate the same dollar profit.
Convert each outcome's American odds to decimal, then compute the margin formula: sum the inverse of each decimal odd (1/odds1 + 1/odds2 + 1/odds3). If this sum is less than 1.0, an arb exists. The arb percentage is (1 − sum) × 100. To find each bet's stake: multiply your total bankroll by each outcome's implied probability divided by the total margin. PromoGrind's calculator automates this — enter three odds and your total stake to get exact amounts for each book.
The margin (also called overround or juice) of a 3-way market is: (1/decimal_odds_home) + (1/decimal_odds_draw) + (1/decimal_odds_away) − 1. A typical sportsbook 3-way market has a margin of 5–8%. When you find a combination where this calculation produces a negative result — meaning the sum is below 1.0 — the difference is your modeled ROI on that arb.
Many 3-way arb screens show between 0.5% and 2% return on total stakes before execution friction. A displayed 1% arb on $3,000 in total stakes is $30 on paper, but line movement, limits, rejection, settlement, and void rules can change the realized result.
Modeled returns are not promises. Execution, voids, limits, eligibility, and changing odds can alter results.