Arbitrage calculator: stakes for 2- and 3-way arbs

Arbitrage calculator

Enter the best available price for every outcome of one market, each from a different sportsbook if needed.

Odds format

Outcomes

Outcome 1 odds

Outcome 2 odds

Total stake

Round stakes to

Arbitrage at these prices: implied total 96.40%

Stake split and returns per outcome
Outcome	Stake	Returns	Profit
Outcome 1	$49.40	$103.73	$3.73
Outcome 2	$50.60	$103.73	$3.73

Total staked: $100.00
Modeled return: 3.73%; Same result whichever outcome wins

Assumptions and limitations

Stake on each outcome = total × (1 ÷ its decimal odds) ÷ the sum of all (1 ÷ decimal odds). Every outcome then returns the same amount.
The result is a model. It assumes every leg is accepted at exactly these prices, at full stake, and settled normally. In practice odds move, bets get rejected or limited, and stake caps apply.
If one leg is placed and the other isn't, you are left with an ordinary, one-sided bet.
Check each sportsbook's rules for voids, ties, overtime and palpable-error cancellations; they can differ between books for the "same" market.
Arbitrage betting can lead sportsbooks to limit or close accounts.

How the stakes are calculated

For each outcome, take 1 ÷ its decimal odds. Add those up; if the total is below 1 (100%), the prices form an arbitrage. Each outcome's stake is:

total stake × (1 ÷ its odds) ÷ (sum of 1 ÷ odds)

That split makes every outcome return the same amount: total stake ÷ the sum. The modeled return is 1 ÷ sum − 1.

Example: odds of 2.10 and 2.05 sum to 96.40%. A $100 total splits into $49.40 and $50.60, and either outcome returns about $103.73, a 3.7% return.

Before you place anything

The calculator assumes every leg is accepted, at these exact prices, at full stake, and settled the same way at every sportsbook. None of that is guaranteed.

Arbitrage calculator