Formula / logic
Let S = Σ(1/oddsᵢ). A theoretical underround exists when S < 1. Allocationᵢ = total stake × (1/oddsᵢ) / S, which equalizes mathematical gross return at total stake / S.
Sports utilities
Arbitrage Calculator
Measure whether entered decimal prices sum to an implied probability below 100% and calculate equal-return allocations.
Calculator
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Calculation result
Result
Enter the values and calculate to see the result.
Example
Two outcomes both priced at 2.10 have a combined implied probability of about 95.24%. Equal allocation is 50/50, with the mathematical return based on those unchanged prices. Real execution can differ.