Free toolsparlay
A parlay pays the product of its legs, so the payout climbs fast — and so does the vig, because every leg brings its own. This combines 2–12 legs into one price and, when you give it both sides of each leg, shows exactly how much margin compounds along the way. Independent-leg arithmetic, with the correlation caveat stated before the payout rather than after it.
Decimal 1.909
Only needed to measure this leg's margin — never to price the parlay.
Decimal 1.909
Only needed to measure this leg's margin — never to price the parlay.
Decimal 1.909
Only needed to measure this leg's margin — never to price the parlay.
2–12 legs. Two legs is a parlay; one leg is just a bet.
Independent-leg math is what the calculator does; correlated legs (same-game, QB-passing-yards + team-total) break it in both directions, and books price SGPs off a correlation model we do not have.
In plain terms: multiplying the leg prices is only the right answer when the legs are genuinely independent events. Anything drawn from the same game usually is not, and a same-game parlay price is set by the book's own correlation model, so the number below will not match what it quotes you.
Decimal
6.9579
American
+596
Implied probability
14.37%
About 1 in 7 — vig included, before correlation.
Return on a win
$695.79
$595.79 profit on a $100.00 stake, stake returned.
The parlay price is exactly the product of the leg prices — books add no separate parlay surcharge. What grows is each leg's vig, compounding.
Compounded overround
14.98%
Π(1 + overround per leg) − 1, across all 3 legs.
Compounded hold
13.03%
The same overround ÷ (1 + overround) relationship a single market has.
Worst single leg
4.55%
The most expensive leg on its own — the parlay charges more than any leg does.
Three standard −110 / −110 legs hold 13.03% against 4.55% on any one of them. That compounding is the entire economics of a parlay, and it is why the payout looks generous: it is priced off probabilities that already include the margin, 3 times over. See the hold calculator for the single-market version of the same arithmetic.
Converting each American price to decimal and multiplying gives the combined price. Nothing else happens — there is no separate parlay surcharge:
Because each price already carries the book's margin, multiplying the prices multiplies the margins too. Take the overround of each leg as a two-way market, compound them, and convert to a hold the same way a single market does:
That is the number worth carrying around: a standard three-leg parlay charges roughly 13% where each of its legs charges 4.55%. Nothing about that makes a parlay a mistake — a small stake for a large, unlikely payout is a perfectly coherent thing to want. It does mean the price you are paying for it is several times the price of the same bets placed separately, and that is a fact worth having in front of you rather than behind a payout figure. Strip a single leg with the no-vig calculator or measure one market with the hold calculator to see where each leg's contribution comes from.
The independence assumption is the other half. Multiplying probabilities is valid when the legs cannot influence one another — different games, different days. Legs from the same game are correlated, sometimes strongly, and the correlation runs in both directions: a quarterback throwing for 350 yards makes his team's total going over more likely, not less. Books price same-game parlays off their own correlation models, so a same-game quote will differ from the product below in ways this page cannot reproduce. Treat the number here as the independent-leg benchmark, not as what the book will offer.
And the usual reminder: none of this says a parlay will win. It says what the combined price implies and what it charges. If you gamble, keep it entertainment-sized — responsible-gambling resources here.
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These calculators run the exact helpers the Blitzen terminal uses on every board. See them applied to real markets — and how we grade everything against the close.