Betting Math

Parlay

A single bet combining multiple selections — all must win for the parlay to pay out.

Also known as: accumulator, acca, multi-bet, combo bet

Definition

A parlay (called an accumulator in the UK) combines two or more individual bets into one. All selections must win for the parlay to pay out. The odds multiply together, creating larger potential payouts but lower win probability.

Parlays are the sportsbook's most profitable product because the vig compounds with each leg. A 4-leg parlay at -110 each has roughly 18% combined vig, compared to 4.5% on a single bet.

Correlated parlays (legs whose outcomes are related) can occasionally offer value, but standard parlays are mathematically disadvantageous.

Formula

parlayDecimalOdds = leg1 × leg2 × ... × legN
impliedProb = 1 / parlayDecimalOdds

Worked Example

3-leg parlay at -110 each: 1.909 × 1.909 × 1.909 = 6.966. A $10 bet pays $69.66. True probability ≈ 12.5%, implied probability from fair odds = 14.4%.

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