Arbitrage Calculator

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Enter Your Odds

$
Outcomes (minimum 2)
Total Investment
Guaranteed Return
Guaranteed Profit
Profit Margin
# Odds (decimal) Stake Return if wins

How This Arbitrage Calculator Works

An arbitrage calculator (also called an arb calculator or arbing calculator) checks whether the odds offered by different bookmakers on the same event create a guaranteed-profit opportunity. When the combined implied probability of all outcomes is below 100%, you can distribute your stake so that you profit no matter who wins.

The Formula

Implied Probability (each leg) = 1 / Decimal Odds Combined Probability = Sum of all Implied Probabilities If Combined Probability < 1.00 → Arbitrage exists Stake per leg = Total Stake × (1 / Decimal Odds) / Combined Probability Guaranteed Return = Total Stake / Combined Probability Guaranteed Profit = Guaranteed Return − Total Stake Profit Margin (ROI) = Guaranteed Profit / Total Stake × 100% = (1 / Combined Probability − 1) × 100%

Worked Example

Two bookmakers disagree on a tennis match. Bookmaker A offers Player X at decimal odds 2.10. Bookmaker B offers Player Y at decimal odds 2.20. Your total stake is $1,000.

Implied Prob (X) = 1 / 2.10 = 0.4762 Implied Prob (Y) = 1 / 2.20 = 0.4545 Combined = 0.4762 + 0.4545 = 0.9307 (93.07% → below 100%, arb exists) Stake on X = $1,000 × 0.4762 / 0.9307 = $511.63 Stake on Y = $1,000 × 0.4545 / 0.9307 = $488.37 If X wins: $511.63 × 2.10 = $1,074.42 If Y wins: $488.37 × 2.20 = $1,074.41 (small $0.01 difference due to rounding to cents) Guaranteed Profit = $1,074.41 − $1,000.00 = $74.41 Profit Margin (ROI) = $74.41 / $1,000 × 100% = 7.44%

Both outcomes return approximately the same amount. The $0.01 difference is because stakes are rounded to the cent — the calculator takes the minimum return as the guaranteed return, so the profit figure you see is the worst-case scenario.

Odds Format Support

This tool accepts three odds formats. Use the dropdown on each outcome to switch:

Frequently Asked Questions

What is an arbitrage bet?

An arbitrage bet (or "arb") is when you place bets on all possible outcomes of an event across different bookmakers, exploiting odds discrepancies so that you lock in a guaranteed profit regardless of the result. An arbitrage betting calculator does the math for you — it converts the odds, checks if a profit is possible, and tells you exactly how much to stake on each outcome.

How many outcomes can I enter?

The calculator supports any number of outcomes from 2 upward. Two-way markets (e.g. tennis, basketball moneyline) and three-way markets (e.g. soccer win/draw/loss) are both handled. Click "Add outcome" to add more legs.

Does this arbing calculator use real-time odds?

No. You enter the odds you found manually. This tool does the math — it does not pull live odds from any bookmaker. Real-time odds scanning requires a paid subscription service; this calculator is free and runs entirely in your browser.

Do I need to create an account?

No. There is no registration, no login, and no popup. Open the page and use it.

How accurate are the results?

Stakes are calculated to the cent (two decimal places). Due to rounding, there may be a $0.01 difference between what each leg returns — this is normal and unavoidable when working with cents. The guaranteed profit figure accounts for this.

Is arbitrage betting risk-free?

The math is risk-free — if both bets are placed and accepted at the odds you entered, the profit is locked in. In practice, risks include odds changing before you place the second bet, a bookmaker rejecting or voiding a wager, and account limitations on bettors who arbitrage frequently. This calculator does not eliminate execution risk; it only handles the calculation.