Arbitrage Calculator
Find arbitrage opportunities across different bookmakers and calculate optimal bet distribution to guarantee profit. Our free arbitrage calculator works in real-time and shows you exactly how much to bet on each outcome. No registration required.
Use the free calculator below to find arbitrage opportunities.
Arbitrage Calculator
Best Sportsbooks for Betting in 2026
How It Works
Arbitrage betting (arbing) occurs when the combined implied probabilities of all outcomes are less than 100%, creating a guaranteed profit opportunity regardless of the result.
How Arbitrage is Calculated:
First, calculate the combined implied probability:
Combined Probability = (1 / Odds1) + (1 / Odds2)
If Combined Probability < 1.00, arbitrage exists!
Then calculate stake distribution:
Stake1 = Total Stake × (1/Odds1) / Combined Probability
Stake2 = Total Stake × (1/Odds2) / Combined Probability
Profit = Total Stake × (1 - Combined Probability)
Example:
If you have $1000 total stake with odds of 2.10 and 2.20:
- Combined Probability = (1/2.10) + (1/2.20) = 0.476 + 0.455 = 0.931
- Since 0.931 < 1.00, arbitrage exists!
- Stake1 = $1000 × 0.476 / 0.931 = $511.28
- Stake2 = $1000 × 0.455 / 0.931 = $488.72
- Guaranteed Profit = $1000 × (1 - 0.931) = $69.00
Arbitrage Calculator Examples
Real-world examples of arbitrage betting calculations using actual odds from different bookmakers.
Example 1: Tennis Match Arbitrage
Example 2: Soccer Match Arbitrage
Example 3: High Value Arbitrage
How to Use the Arbitrage Calculator
Enter Total Stake
Enter the total amount you want to invest in the arbitrage opportunity.
Enter Odds from Different Bookmakers
Enter the decimal odds for each outcome from different bookmakers. The calculator will automatically detect if an arbitrage opportunity exists.
View Results
The calculator shows the combined probability, optimal stake distribution, and guaranteed profit in real-time.
Place Your Bets
Place the calculated stakes at each bookmaker to guarantee profit regardless of the outcome.
How the Arbitrage Calculator Works
Arbitrage betting uses mathematical formulas to calculate optimal stake distribution when bookmakers offer different odds on the same event.
Formula:
Combined Probability = (1 / Odds1) + (1 / Odds2)
If Combined Probability < 1.00, arbitrage opportunity exists!
Stake Distribution:
Stake1 = Total Stake × (1/Odds1) / Combined Probability
Stake2 = Total Stake × (1/Odds2) / Combined Probability
Guaranteed Profit:
Profit = Total Stake × (1 - Combined Probability)
Profit Margin = (1 - Combined Probability) × 100%
Example: With odds of 2.10 and 2.20, combined probability is 0.931 (93.1%), leaving a 6.9% guaranteed profit margin.
Frequently Asked Questions
Arbitrage betting (arbing) is a strategy that guarantees profit by placing bets on all possible outcomes of an event at different bookmakers, taking advantage of odds discrepancies.
An arbitrage opportunity exists when the combined implied probability of all outcomes is less than 100%. Our calculator automatically detects this and shows you the guaranteed profit.
Yes, arbitrage betting is legal. However, bookmakers may limit or close accounts of users who consistently engage in arbitrage betting.
Typical arbitrage opportunities offer 1-5% profit margin. Higher margins are rare but more profitable. Anything above 2% is considered good.
Yes, you need accounts at different bookmakers to take advantage of arbitrage opportunities, as you'll be placing bets on different outcomes at different sites.
Yes, our arbitrage calculator is completely free to use. No registration required, no hidden fees.