How do you calculate a betting arbitrage?
Convert every outcome to implied probability and add them together. A total below 100% creates a mathematical arbitrage before commissions, limits or settlement differences.
2–6 outcomes · equal return
Arbitrage betting calculator and dutching stakes.
Enter every mutually exclusive outcome, then split a total stake or target an exact equal return. The calculator checks whether the prices add to less than 100% and sizes every outcome.
These entered prices form a mathematical arbitrage.
Implied probability total95.24%
Total stake$100.00
Equal return$105.00
Result after stakes$5.00
Return on stake5.00%
Outcome 1 stake$50.00
Outcome 2 stake$50.00
How it works
Below 100% is the mathematical opening.
American odds first become implied probabilities. Their sum is the key number: below 100% produces a positive equal-return result; above 100% produces a loss even after the stakes are balanced.
The allocation is often called dutching. Choose whether to divide a fixed bankroll or work backward from a desired gross return. Neither mode can account for price movement, limits, commissions or inconsistent settlement rules.
How are arbitrage stakes divided?
Each stake is proportional to that outcome's implied probability. This dutching allocation produces the same gross return whichever entered outcome wins.
Why might a calculated arbitrage fail?
Prices can move, bets can be limited or rejected, and sportsbooks can apply different void and settlement rules. Confirm every price and rule before relying on the result.