Formulas used
Implied sum = (1 ÷ odds 1) + (1 ÷ odds 2) + ...Arbitrage exists when the implied sum is less than 1Target payout = total stake ÷ implied sumStake per selection = target payout ÷ selection oddsTheoretical ROI = (1 ÷ implied sum) − 1Free tool
Betting Arbitrage Calculator
Compare odds across every outcome and calculate the stake allocation, payout, and return of an arbitrage scenario.
Arbitrage compares prices across every outcome. Explore how stake allocation, available odds, bookmaker limits, and settlement rules affect the result.
Direct answer
The arbitrage betting calculator checks whether the sum of implied probabilities is below 100% and distributes a total stake among all outcomes of the same market. The return is only theoretical: it depends on all bets being accepted at the odds provided, without price changes, limits, cancellations, or rule differences.
Calculator
Calculate stakes, payout and ROI
What does this calculator calculate?
This arbitrage betting calculator shows whether the odds of the same market allow you to mathematically distribute the stake among all outcomes and achieve a positive theoretical return in any scenario. It also calculates the allocation per selection, expected payout, net profit, and ROI. The result depends on all odds and conditions provided remaining valid.
Calculation summary
| Item | What it means | What to compare |
|---|---|---|
| Arbitrage | Odds difference between bookmakers to cover all outcomes. | Depends on fast execution. |
| Implied sum | Sum of 1/odds for each selection. | Must be less than 100%. |
| Theoretical ROI | Expected return if everything is accepted. | Can disappear as odds change. |
| Stake per selection | Mathematical allocation calculated for each side. | Limits and rounding can break the calculation. |
| Hedge | Hedging an already placed bet. | Not always +EV. |
Example in Brazilian football
Imagine a football match in the 1X2 market. The best odds for Home are 2.40, for Draw are 3.60, and for Away are 3.80, each at a different bookmaker. The calculator sums the implied probabilities of these odds. If the sum is below 100%, it calculates the distribution of a total stake, for example $100, which roughly equalizes the payout across the three outcomes.
Implied sum = 1 ÷ 2.40 + 1 ÷ 3.60 + 1 ÷ 3.80 = 95.76% Target payout = $100 ÷ 0.9576 = $104.43 Theoretical ROI = (1 ÷ 0.9576) − 1 = +4.43%This is a theoretical profit, meaning a mathematical return if all entries are accepted at the odds provided and under the same rules.
What determines an arbitrage scenario’s result?
Odds can change
The price can disappear or change between the first and last entry.
Maximum limit
A bookmaker can limit the allowed amount and prevent the calculated stake.
Refusal or void
A bet refused, canceled, or voided due to an obvious error breaks the calculation.
Identical market
Same match, line, game time and rules must match exactly.
Rounding
Pennies, minimum units, and bookmakers without broken stakes can reduce the ROI.
Account operation
Withdrawal, account limits, availability, and delay affect execution.
Small margin
The lower the theoretical ROI, the greater the risk of any detail erasing the edge.
Arbitrage is not the same as value betting
| Arbitrage | Value bet |
|---|---|
| Calculates the theoretical return when considering all outcomes. | Looks for odds above the estimated fair price. |
| Depends on divergent odds at different bookmakers. | Depends on estimated probability, fair odds, and EV. |
| It is very sensitive to execution, limits, and timing. | Accepts short-term variance. |
| Usually has small margins. | It is more aligned with Predora's main use: comparing the Active Model with the best odds and interpreting factors. |
Use Predora to connect probability estimates, bookmaker prices, and match evidence. The arbitrage calculator adds a different perspective: compare all outcomes and explore how prices and stake allocation shape the result.
How to apply this at Predora.si
Want to compare real odds with estimated probability, EV, and game factors? Use Predora to analyze football with more method and less guesswork.
Related content and tools
Want to move beyond an isolated calculation and analyze real games?
Active Model chance, best odds, EV, and Factors form independent and complementary comparisons.
View Upcoming Matches with EV+FAQ about the arbitrage betting calculator
What is an arbitrage betting calculator?
It is a tool that calculates whether the odds of all outcomes in the same market allow you to distribute the stake to achieve a positive theoretical return in any scenario.
What determines an arbitrage calculation’s profit?
The calculated profit depends on all selections being accepted at the entered odds and settled under matching rules. Compare stake rounding, limits, and price changes to assess the scenario.
How do I know if arbitrage exists?
Sum of 1 divided by each decimal odd in the market. If the result is less than 1, there is a theoretical arbitrage before considering limits, odd changes, and rounding.
What is the difference between arbitrage and value betting?
Arbitrage tries to cover all outcomes with divergent odds. Value betting seeks an odd above the estimated fair price, accepting variance and thinking long term.
Can I use arbitrage in football?
The math can be applied to 2-outcome markets or 1X2, as long as the compared odds represent the same game, line, regular time, and rules.