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What's the difference between +EV betting and arbitrage?

Strategy
3 diagrams5 min readUpdated Aug 17, 2026
Short answer
Arbitrage = guaranteed small profit, both sides, no opinion required. +EV = risky single side, bigger edge, requires an opinion you can defend.

Both strategies start from the same observation: sportsbooks disagree with each other. What you do with that disagreement is what separates them.

Two shapes of bankroll curveSame market inefficiency, two very different risk profiles.
ARBITRAGEBet every outcome+EVBet one side, at a better price
Small and locked in. Every book knows the pattern.
Bigger edge, real drawdowns, slow to confirm.
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Arbitrage: bet everything, guarantee a profit

An arbitrage exists when the implied probabilities of every outcome, taken at the best available price across books, add to less than 100%. Say Book A has Team A at +115 (46.5%) while Book B has Team B at -105 (51.2%). Those sum to 97.7%, a market with a 2.3% hole in it.

A market with a hole in itBest prices across two books, adding to less than 100%.
100% = A FAIRLY PRICED MARKETBOOK A · 46.5%Team A +115BOOK B · 51.2%Team B -1052.3% short of 100%the arbitrage margin
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$1,000 split: $475.91 on +115, $524.09 on -105
Either result returns $1,023.22, a locked $23.22, about 2.3%, before any account frictions.
Splitting the stake$1,000 divided so that both outcomes return the same amount.
$1,000TOTAL STAKEBOOK A · +115you stake$475.91if this side wins$1,023.22BOOK B · -105you stake$524.09if this side wins$1,023.22Either way: +$23.22, a 2.3% locked return
↔ swipe to see the whole diagram

You don't need an opinion about the game. You don't even need to know which sport it is. You need two accounts, enough bankroll on both sides, and the speed to place both legs before one of the prices moves.

+EV: bet one side, accept the variance

The +EV bettor looks at the same two prices and reaches a different conclusion: one of these books is wrong, and I'm going to take the wrong price without hedging it. There's no guaranteed profit. There's a bigger edge per bet and a much longer wait to find out whether you were right.

Arbitrage+EV
Outcome riskNone if executed correctlyEvery bet can lose
Typical edgeSmall, often 1–3%Larger per bet
Bets per opportunityAll outcomesOne side
Bankroll neededHigh, capital sits on both sidesLower per opportunity
Needs an opinion?NoYes, it's the whole thing
Time to know if it worksImmediatelyHundreds of bets

The risks arbitrage actually carries

'Risk-free' describes the math, not the activity. The real exposure sits in execution and account management:

One leg lands, the other price moves before you get it down, and you're now holding a naked position you never wanted.
A book voids or re-settles a bet on a palpable-error or wrong-line rule, leaving the other leg live.
Rules differ between books on overtime, pitcher changes and cancellations, so the two 'opposite' bets aren't always truly opposite.
Bonus-restricted or max-bet-limited accounts cap the size at which any of this is worth the effort.
Sportsbooks actively look for this pattern. Limiting and account closure is the normal end state, not a rare one.
They aren't rivals
Most people who do one end up doing both. The underlying skill is identical: knowing the fair price and having accounts everywhere. Arbitrage is what you do with a guaranteed hole; +EV is what you do with a price you merely believe is wrong.
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