Arbitrage Calculator
Find the stake split that locks in a guaranteed profit across both sides.
This arb calculator tells you whether two prices guarantee a profit. Enter the best available odds on each side of a market and your total stake, and it shows whether a risk-free arbitrage exists, exactly how to split your money, and the profit you lock in either way.
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How the Arbitrage Calculator works
What is arbitrage betting?
Arbitrage, or arbing, means backing every outcome of a market at prices that guarantee a profit no matter who wins. It happens when two books disagree enough that the combined implied probability drops below 100%. You are not predicting anything; you are exploiting a pricing gap.
The arbitrage betting formula
Convert both sides to decimal odds and add their inverses (1/odds). If the total is below 1.0, an arbitrage exists, and the profit margin is 1 divided by that total, minus 1. At +110 and +105 (2.10 and 2.05 decimal) the total is 0.476 + 0.488 = 0.964, so the arb returns about 3.7% on the money staked.
How to split your stakes
To lock the profit, stake each side in proportion to its inverse odds so both outcomes return the same amount. On $100 at +110 and +105 that is $49.40 and $50.60, and either result pays back $103.73. The calculator does the division for you.
Three-way arbitrage (soccer and other 1X2 markets)
The same formula works with three outcomes: add the inverse of all three decimal prices and check that the total is under 1.0. At 2.55 home, 3.55 draw, and 3.30 away the total is about 0.977, a 2.4% arb. Split $100 as $40.14, $28.84, and $31.02 and every result returns about $102.37. This calculator handles two-way markets, so work a three-way arb with that formula.
Betting both sides without an arb
Backing both sides of a normal line locks in a loss, not a profit. At -110 on each side, $50 and $50 returns $95.45 whichever side wins, because the vig pushes the combined total over 1.0. Enter any two prices above and the calculator shows the guaranteed result either way, gain or loss.
Why real edge beats chasing arbs
True arbs are rare, small, and quickly limited by sportsbooks. The more durable edge is simply getting a better price in the first place. On BettorEdge you trade at market-fair odds with no house margin, which is where most of the value actually lives.
Arbitrage betting examples on a $100 stake
Each row splits $100 across both sides so either result pays the same. When the combined implied probability is under 100%, the guaranteed result is a profit; at or over 100%, betting both sides locks in a loss. Enter any two prices above for your own split.
| Side A | Side B | Combined implied | Stake A / Stake B | Locked result |
|---|---|---|---|---|
| +110 | +105 | 96.4% | $49.40 / $50.60 | +$3.73 |
| +120 | -110 | 97.8% | $46.46 / $53.54 | +$2.21 |
| +105 | +100 | 98.8% | $49.38 / $50.62 | +$1.23 |
| +115 | -105 | 97.7% | $47.59 / $52.41 | +$2.32 |
| -110 | -110 | 104.8% | $50.00 / $50.00 | -$4.55 |
| +100 | -120 | 104.5% | $47.83 / $52.17 | -$4.35 |
Prices that line up like the top rows usually come from two venues disagreeing for a few minutes. To see how much margin a single line carries, use the hold calculator.
Frequently asked questions
How does an arbitrage calculator work?+
It checks whether the combined implied probability of both sides is under 100%. If it is, the calculator shows the stake split that returns the same amount on either outcome, locking in profit.
How do I split stakes for an arbitrage bet?+
Stake each side in proportion to its inverse decimal odds. The calculator computes the exact amounts so both outcomes pay back equally.
How do you calculate a three-way arb?+
Add 1 divided by each of the three decimal odds. If the total is below 1.0 the market is an arb, and each stake is your total stake times that outcome's inverse odds, divided by the total. 2.55 / 3.55 / 3.30 totals about 0.977, about a 2.4% guaranteed return.
Is arbitrage betting legal?+
Arbitrage betting is legal, but sportsbooks dislike it and often limit accounts that do it. Arbs are also usually small and short-lived.
Is arbing worth it?+
It can be, but the margins are thin and books limit you fast. Getting consistently better prices, like a no-vig marketplace, tends to be more sustainable than chasing arbs.