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Home › Tools › Arbitrage Calculator
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Arbitrage Calculator

To split a stake across an arbitrage, put each side's share in proportion to its implied probability so both outcomes pay the same.

Side A odds
Side B odds
Total stake ($)
Stake on side A
--
Stake on side B
--
Arb % (under 100 = profit)
--
Profit either way
--
Total return (either side)
--
Return on investment
--
Under 100% is a real arb; over 100% is the vig
If the arb percentage is below 100, splitting your stake this way pays the same profit whichever side wins - provided both bets are accepted at these prices and the books settle the market the same way. Real arbs are small and disappear fast, and you need both prices live at the same moment across two books. Hunting them by hand is slow, which is exactly what our line shopping tool automates.
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Quick answer
To split a stake across an arbitrage, put each side's share in proportion to its implied probability so both outcomes pay the same. With two +110 prices on opposite sides and $1,000 to stake, $500 on each returns $1,050 either way, a $50 profit if both bets are accepted at those prices.
Written by the Wise Guy Desk, reviewed by Ross Thornton.

Enter the two prices and your total stake. We split it across both sides so the payout is the same whichever side wins, and show the arb percentage and ROI.

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How the arbitrage calculator works

An arbitrage, or arb, happens when two books price the sides of the same market so differently that betting both sides returns a profit whatever the result. Enter the best price for each side and a total stake, and the calculator shows how much to place on each side and the return in every outcome.

It first checks whether the prices truly form an arb: the implied probabilities must add up to less than 100%. Arbs are small and short-lived, books may limit accounts that take them, and a price can move between your first and second bet, which is the main risk. Check that both bets cover the same market, line and settlement rules before you place either one.

Worked example: Arbitrage

Two opposite prices, one total: the split and every outcome after fees and rounding.

+110 and -100, $100 total

1 · DraftKingsDraftKings · Side A · +110 · Stake$49
2 · FanDuelFanDuel · Side B · -100 · Stake$51
Side A wins ($49 x 2.1000 minus $100)+$2.90
Side B wins ($51 x 2.0000 minus $100)+$2.00
2.00% worst case $2.00 on $100, if both bets are accepted at these prices.
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What is arbitrage betting?

Arbitrage betting (also called arbing) is placing bets on every outcome of a market at different sportsbooks when the combined implied probability drops below 100%. When two books disagree enough on a price, you split your stake across both sides and the total return exceeds your total stake whichever result hits. That is a positive theoretical worst-case payout, not free winnings: it holds only if both legs are accepted at the shown prices, neither is limited or voided, and both books settle the market under the same rules.

How does arbitrage betting work?

Every price has an implied probability (100 divided by the decimal odds). Add the implied probabilities of both sides of a market. If the total is under 100%, there is an arb: the books have left a gap. This calculator turns that gap into exact stakes, sizing each side so the payout is identical whichever result hits. The amount your total return exceeds your total stake is your profit - the theoretical worst case if both legs are accepted at the shown prices and settlement rules match.

How to calculate an arbitrage bet

  • Convert both prices to decimal odds, then to implied probability (100 / decimal odds).
  • Add the two implied probabilities. Under 100% means a profitable arb exists.
  • Stake on each side = total stake x (that side's implied probability / the total). The tool does this instantly.
  • Your profit either way = total return minus total stake. ROI is that profit over your stake.

Is arbitrage betting legal?

Yes, arbitrage betting is legal everywhere sports betting is legal. You are just placing two normal bets. The real risk is not the law, it is the books: sportsbooks dislike arbitrage and can limit or restrict accounts they flag for it. To last, bettors keep bet sizes natural, mix in regular bets, and spread action across books rather than hammering arbs at one shop.

The Wise Guy Team way

Arbs are real but small, fleeting, and account-limiting if you abuse them. We treat them as one signal among many. The bigger, more durable edge is +EV betting on prices the market has wrong, and shopping every book for the best number. Our tools scan for arbs, middles, and +EV at once so you see everything live.

Frequently asked questions

What is arbitrage betting?

Betting every outcome of a market at different books so the combined implied probability is under 100%, producing the same positive return whichever side wins - provided both legs are accepted at the shown prices and the books settle the market the same way.

How does arbitrage betting work?

When two books' implied probabilities add up to less than 100%, you split your stake across both sides so the payout is identical either way and exceeds what you risked.

How do you calculate an arbitrage bet?

Convert both prices to implied probability, add them, and if under 100% stake each side proportionally. Stake = total x (side implied / total implied).

Is arbitrage betting legal?

Yes, it is legal wherever betting is legal. The catch is that sportsbooks can limit or restrict accounts they suspect of arbing.

Can you get banned for arbitrage betting?

You will not be banned legally, but books can cut your limits or close the account. Natural bet sizes and spreading action across books reduces the risk.

Can you lose money arbitrage betting?

If both legs land correctly, no. Losses come from mistakes: a line moving before your second bet, a voided leg, or a wrong stake. Place both sides fast and double-check.

No-Vig Calculator → Hedge Calculator → Line Shopping tool →

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How these numbers are built, and what can make them wrong: how we test our tools · how we make money

Know the terms behind the math: arbitrage betting, hedging, and line shopping. For the full walkthrough, read how to line shop.

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How to use the arbitrage calculator

  1. Find the same market at two books with prices that disagree.
  2. Enter both prices. If the two implied probabilities add to less than 100%, an arbitrage exists.
  3. Use the stakes shown so both outcomes return the same amount.
  4. Check the practical limits before you place anything: bet limits, rule differences, voids and how fast the price can move.

Worked example: Team 1 at +110 and Team 2 at +105

The implied probabilities are 47.62% and 48.78%, which add to 96.40%. Under 100%, so there is a gap.

With $1,000.00 to place, stake $493.98 on Team 1 and $506.02 on Team 2. Either side returns $1,037.35, a $37.35 profit, if both bets are accepted at those prices. Real arbitrage is small and short-lived, and a bet that is limited or voided on one leg leaves you holding the other.

The numbers above are an illustration of the math, not a prediction or a result.

Common questions

What is arbitrage betting?

Betting both sides of a market at different books so the combined return exceeds the combined stake.

Does arbitrage always work?

It is low risk when both bets are accepted at the stated prices. The real risks are limits, voided bets, mistakes and price moves between the two bets.

Why do arbitrage windows close fast?

Books adjust to each other's prices within minutes, so the gap is often gone before the second bet is placed.

Keep going: middle bet calculator, line shopping, how to use arbitrage, hedge calculator.

How do you split a stake for an arbitrage bet?

Definition. An arb stake split sizes each bet so the payout is equal whichever side wins.

Worked example. Two prices of +110 (2.10 decimal) on opposite sides: implied probabilities 47.62 percent each, total 95.24 percent, below 100 so an arb exists. Total stake $1,000 gives $500 per side, payout $1,050, profit $50, a 5 percent return.

  1. Enter the two prices and your total stake.
  2. Check that the implied probabilities total under 100 percent.
  3. Stake each side in proportion to its probability so the payout matches.

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