Somewhere online, someone is promising you "risk-free" profit from sports betting. Bet both sides at two different books and come out ahead no matter who wins. It sounds like a cheat code. It's actually just math — and the math is real.
What they leave out is everything that happens between the spreadsheet and the bet slip. This guide shows you exactly how an arbitrage works, how to size both sides, and the five ways a "sure" arb turns into an ordinary bet you didn't want.
- An arbitrage exists when the implied probabilities of every outcome, taken from different books, add up to less than 100%.
- Real arbs are rare and thin — think a fraction of a percent of the money you put down, not a payday.
- The risk lives in execution: the second line moves, a max-bet cap shrinks your stake, or a book voids one side as an obvious error.
- Books write broad rights to limit stakes, refuse bets and void errors into their house rules. Read them before you try.
- The skill behind arbing — comparing prices across books — is line shopping, and that's worth doing on every bet.
What arbitrage betting actually is
Arbitrage betting ("arbing") means betting every possible outcome of the same event at different sportsbooks, at prices where the total payout beats your total stake on paper. Whoever wins, one ticket cashes for more than you spent on both.
It's possible for one reason: books don't all agree. Each one sets and moves its own lines. Most of the time, every book's prices include the vig, so betting both sides at one book loses money by design. But when Book A is a little high on Team A and Book B is a little high on Team B, the two prices together can briefly leave a gap with no vig in it at all.
That gap is the arb. Your job is to measure it, and the measuring tool is implied probability.
How to spot an arb with implied probability
Convert each price to the probability it implies. Then add up the best price for every outcome. If the total is under 100%, you've found an arb. If it's over 100%, the books are collecting a margin from you.
Positive odds: Implied % = 100 ÷ (Odds + 100)
Arb exists when: Implied % (Side A) + Implied % (Side B) < 100%
One book, standard pricing: Team A -110, Team B -110. Each side implies 52.38%. Total: 104.76%. That extra 4.76% is the book's margin. No arb.
Two books, hypothetical prices: Book A has Team A at +104 (implied 49.02%). Book B has Team B at -101 (implied 50.25%).
Total: 49.02% + 50.25% = 99.27%. Under 100%. That's an arb — a small one.
Notice how close those prices are to normal. Arbs don't look like +300 on both sides. They look like two ordinary lines that each lean the "wrong" way by a few cents.
How to split your stakes
Finding the gap is half the job. You also have to size each bet so both tickets pay the same amount. Bet too much on one side and you've just made a lopsided bet.
Payout either way = Total stake ÷ (Sum of implied %)
Profit = Payout − Total stake
Using the hypothetical +104 / -101 prices above, with a $1,000 total:
Stake on Team A (+104) = $1,000 × 49.02% ÷ 99.27% = $493.81
Stake on Team B (-101) = $1,000 × 50.25% ÷ 99.27% = $506.19
If Team A wins: $493.81 × 2.04 (decimal odds) = $1,007.37 back. If Team B wins: $506.19 × 1.990 = $1,007.37 back.
Profit either way: about $7.37 on $1,000 tied up — roughly 0.74%.
Not exactly life-changing. And this example assumes everything goes perfectly. Run your own numbers through the Odds Converter to turn both prices into implied probability before you commit a dollar.
Why arbs are rare and tiny
Sportsbooks watch each other and the wider market. When one book's line drifts away from everyone else's, it tends not to stay there long. That's why most arbs you'll find are:
- Thin. A fraction of a percent of the total stake, like the example above.
- Short-lived. The line that created the gap is usually the one about to move.
- Capital-hungry. To make meaningful dollars at under 1%, you have to move large amounts — split across multiple funded accounts.
Compare that to the unit system. If your purse is $1,000, a unit is $10. The arb above asks you to put your entire purse on the table — 100 units — for a $7 return. Everything has to go right for that trade to make sense.
Five ways a "risk-free" arb goes wrong
On paper, the math works. The process is where the risk lives. Here's where it breaks.
1. The second line moves before you bet it
You place the first bet. By the time you open the second book, the price is gone. Now you're holding a one-sided bet, or you cover it at a worse price.
You've already bet $493.81 on Team A at +104. Book B moves Team B from -101 to -110 before you click.
To make both tickets pay the same $1,007.37, you'd need $527.67 on Team B at -110. Total staked: $1,021.48.
Result: a guaranteed loss of about $14.11 — or an unhedged $493.81 bet you never meant to make.
2. A max-bet cap shrinks your stake
Books set their own minimum and maximum wager amounts, and they can set them per customer. If Book B only lets you put $200 on Team B, your whole arb has to shrink to match. In our example, $200 on Team B means only $195.11 on Team A — about $2.91 profit. If you already placed the full $493.81 on Team A before seeing the cap, you're mostly unhedged.
3. One side gets voided as an obvious error
Licensed books publish rules for "obvious" or "palpable" errors — prices that are materially different from the rest of the market. Under those rules, a book can void the bet or resettle it at the correct price. An arb often exists precisely because one price is out of line with the market. That's the bet most likely to get voided, which leaves you holding the other side alone. At least one major book's rules filed with a state regulator say it won't void a bet for an obvious error without the regulator's prior approval, so the process varies — check your book's house rules for your state.
4. Stake rounding and minimums
Perfect splits come out to odd cents. Round $493.81 and $506.19 to $494 and $506 and the two payouts no longer match ($1,007.76 vs. $1,006.99). In a big arb, it barely matters. In a 0.7% arb, sloppy rounding eats a real slice of the profit.
5. Different settlement rules at each book
Two books can settle "the same" bet differently. Soccer markets at most US books are settled on regular time including stoppage time, while a hockey moneyline usually includes overtime and the shootout. If your two tickets don't define the market the same way — or one book voids for a postponement while the other doesn't — there's an outcome where both lose. Match the rules before you match the prices.
Watch out: anyone selling you "guaranteed" or "risk-free" profit is describing the spreadsheet, not the betting. No bet is risk-free once a person, an app and a rulebook get involved.
House rules, limits and legality
Placing an ordinary bet at a licensed book is the same act whether or not you've hedged it somewhere else. But two things decide whether arbing is open to you at all:
- Your state's law. Sports betting is legal only in some states, and each state sets its own rules. Check your state's gaming regulator first.
- Each book's terms. Licensed books reserve the right to decline all or part of a bet, set stake limits per customer, and void errors. Read the terms and house rules of every book you use — don't assume.
Practically, that means a book can make arbing pointless without accusing you of anything. Lower limits alone are enough.
Should a beginner try it?
Here's the honest version. Pure arbing asks you to tie up big money for tiny returns, work fast across several accounts, and absorb every execution mistake yourself. For a beginner with a small purse, the expected profit per arb is a few dollars and the expected cost of one mistake is more than that.
The useful part is the habit underneath it. Comparing prices across books is exactly what line shopping is. You don't need both sides to benefit. Take the best price on the one side you actually like, and you've improved your expected value on every bet — which also tends to show up as positive closing line value.
The bottom line: An arb is real when the implied probabilities across books add up to less than 100% — but the profit is thin, and line moves, stake caps, error voids and rule mismatches can flip it into a loss. Learn the math, then use it to line shop every bet.
Frequently asked questions
What is arbitrage betting in simple terms?
Arbitrage betting means betting every outcome of an event at different sportsbooks, at prices where the combined implied probability is under 100%. Sized correctly, each ticket pays back more than the total you staked, so you profit whichever side wins — as long as every bet goes through at the price you expected.
How do I know if two odds make an arb?
Convert each price to implied probability and add them up. Under 100% means an arb exists. For example, +104 implies 49.02% and -101 implies 50.25%, which totals 99.27%, a small arb. Two -110 prices total 104.76%, which is no arb at all.
Is arbitrage betting really risk-free?
No. The math is fixed, but the second line can move before you bet it, a book can cap your stake, a price can be voided as an obvious error, and two books can settle the same market differently. Any of those can leave you with a one-sided bet or a guaranteed small loss.
Is arbitrage betting legal?
Sports betting itself is legal only in some states, so check your state's gaming regulator first. Where it is legal, an arb is made of ordinary bets at licensed books, but each book's terms let it limit stakes, decline bets and void errors. Read the house rules of every book you use.
How much money can you make from arbitrage betting?
Usually very little per arb. A gap of under 1% is typical of what you'll find, so a perfectly executed $1,000 arb at 99.27% returns about $7.37. One mistake on a single arb can wipe out the profit from several good ones.
Check the gap before you bet.
Convert both sides to implied probability and see if they add up to under 100% — math, not gut feeling.
Open the Odds Converter →- DraftKings Sportsbook house rules (retail, Golden Nugget Lake Charles) — obvious errors, wager limits, right to decline bets, soccer settlement
- BetMGM house rules as filed with the Massachusetts Gaming Commission — obvious errors, per-patron wager limits
- Gila River Resorts sportsbook house rules — hockey wager types and settlement
- National Council on Problem Gambling — ncpgambling.org
Disclaimer: BeginnerBets provides educational content only. It is not legal, tax or financial advice. Sports betting involves risk — never wager money you can't afford to lose. Sports betting is legal only in some states, and rules differ by state; check your state's law before you bet. Must be 21+ in most states. If you or someone you know has a gambling problem, call 1-800-GAMBLER or visit ncpgambling.org.