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How an arb comes together.

Backing both sides only works when the prices, coverage and accepted stakes all line up.

By BetBible3 min readUpdated
Illustrative example
Two-outcome coverage
Outcome A$50at 2.10
Outcome B$50at 2.10
Calculated return
on either outcome
$105

Assumes accepted stakes, matching rules and full coverage. Execution risks remain.

Short answer

An arb uses different prices to cover every possible outcome with a combined return above the total stake. In a hypothetical two-outcome market at 2.10 each, $50 on each side returns $105 whichever side wins. Both bets must be accepted in full under matching rules. A moving price, rejected stake or different settlement can undo the calculation.

Try a two-outcome split

An arb is more than seeing two attractive prices. You need all possible outcomes covered, the intended stakes accepted and the same settlement rules on both bets.

Try a hypothetical split below. The calculator uses whole dollars and shows the lower of the two possible returns. It cannot check availability or place either bet.

Betfair’s glossary describes the all-outcome coverage behind the term. That definition does not remove the acceptance, timing and settlement risks described here.

Example inputs · yours to change

Two opposing outcomes covering the whole market. Use bookmaker prices, with matching settlement rules. No exchanges, fees or third outcome.

Calculated minimum profit$5.00

5.00% on your total stake, at these prices.

OutcomeStakeReturn if it wins
A$50.00$105.00
B$50.00$105.00

Calculated from your inputs. Prices can move, stakes can be limited and bets can be voided. Nothing is placed or checked with a bookmaker.

A worked example

Imagine a market with exactly two opposing outcomes, each priced at 2.10 with identical rules. Split a $100 total stake into $50 on each side.

ResultWinning stakeReturn from winning sideTotal stakeCalculated profit
Outcome A wins$50 at 2.10$105$100$5
Outcome B wins$50 at 2.10$105$100$5

This is a hypothetical example. It assumes an ordinary win or loss, both stakes accepted in full and no fees or special settlement.

The reciprocal sum is 1/2.10 + 1/2.10, or approximately 0.95238. The calculated return on the total stake is 5%. The gap between 100% and the implied-probability total is a different number; do not treat the two measures as interchangeable.

Why whole-dollar rounding matters

The ideal split may contain cents. Rounding changes the return from each side, and a small theoretical margin can disappear at the requested stake.

The calculator checks neighbouring whole-dollar splits and uses the lower of the two outcome returns. If that lower amount does not exceed the total stake, the entered prices and outlay do not create a profitable whole-dollar split. Increasing the outlay is not a solution to unrelated execution or settlement risks.

Where the calculation can fall apart

  • One side moves: the second price changes after the first bet is accepted.
  • A stake is limited: the accepted amount differs from the calculation.
  • Rules differ: a draw, void, extra-time result or participant rule changes the coverage.
  • A third outcome exists: two selections do not cover the whole market.
  • Costs change the return: exchange commission or other fees are omitted.

If only one side is accepted, you hold an ordinary exposed position. There is no universal repair that restores the original result at any later price.

Which markets does this calculator cover?

Only two opposing outcomes that cover the entire market. It does not calculate a three-way football market, a race field, exchange back/lay stakes or a multi with correlated legs.

Read both bookies’ rules. Two identical-looking prices cannot tell the calculator whether a void, draw or extra-time result will be treated the same way.

Arbitrage and value betting are different

Arbitrage calculations consider the return across all covered outcomes. Expected value betting evaluates a single offered price against an estimated probability and can lose over any run of bets.

The public calculator works without an account. Full Odds is available with a free account for comparing prices; Arbs is a separate membership feature. Comparing prices can be useful even when there is no arb.

Source checks and dates

These checks describe the evidence used for this explanation. Follow the primary source for current event details.