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▌ Calculator · parlay · published 2026-10-13

Every leg in.
One honest
payout out.

Add up to twelve legs in any odds format. You get the combined odds, the total payout, the profit, and the hit rate the price needs from you.

One pushed leg and the ticket reprices. One boost and the profit moves. Both are one tap here, and the result is saved in the URL so you can send the slip to someone.

Calculate parlay See the math

Calculator

Live · client-side · zero tracking

▌ Your parlay · 3 legs

$

Legs — odds in any format (-110, 2.50, 5/2)

A boost is added to the profit only. Your stake is never boosted.

▌ Parlay payout

Total payout

$875.00

Net profit

+$775.00

Combined odds

+775

Implied hit rate

11.43%

Legs live

3 / 3

Combined odds = product of every leg's decimal odds · Payout = stake × combined odds. The implied hit rate includes the bookmaker's margin on every leg.

▌ Derivation · parlay formula

The math behind a parlay

A parlay is one bet that wins only if every leg wins. The payout formula is: Payout = Stake × D₁ × D₂ × … × Dₙ, where each D is a leg's decimal odds.

Take three legs at -110, +150 and -120. In decimal that is 1.909, 2.500 and 1.833. The product is 1.909 × 2.500 × 1.833 = 8.75. A $100 stake returns $875.00, which is $775.00 of profit.

Why it multiplies

Decimal odds are a payout multiplier on the stake. If leg one turns $100 into $190.91, the parlay rolls that whole amount onto leg two, and so on. Multiplying the decimals is the same as reinvesting the full return at every step.

The probabilities multiply the same way. If the legs are independent, the chance all of them win is the product of each leg's chance. Odds and probability both compound, which is why the payout grows fast and the chance of collecting it shrinks faster.

Pushes and voided legs

A push returns that leg's stake. Most US sportsbooks remove the leg and reprice the parlay on what is left, so the pushed leg multiplies the product by 1.00. The calculator does this when you tap Push on a leg. A few books and promotional tickets settle differently, so the house rules always win.

The hit rate the price needs

Break-even probability is 1 / combined decimal odds. At 8.75 that is 11.43%. Since every leg already carries the bookmaker's margin, the true chance of the parlay landing is lower than that figure. To see a leg without the margin, use the no-vig calculator, or turn a price into a probability with the implied probability calculator.

▌ Reference

What each extra leg costs you

Every leg at -110, $100 stake. "True chance" assumes each leg is a genuine 50/50 before the bookmaker's margin. The last column is the average loss per $100 staked in that case: each -110 leg keeps about 4.5% of the money, and the cut compounds.

Legs Combined American Payout Break-even True chance Avg. loss
2 3.64 +264 $364.46 27.44% 25.00% $8.88
3 6.96 +596 $695.79 14.37% 12.50% $13.03
4 13.28 +1228 $1,328.33 7.53% 6.25% $16.98
5 25.36 +2436 $2,535.91 3.94% 3.13% $20.75
6 48.41 +4741 $4,841.27 2.07% 1.56% $24.36
8 176.45 +17545 $17,644.64 0.57% 0.39% $31.08
10 643.08 +64208 $64,308.16 0.16% 0.10% $37.20

The gap between "break-even" and "true chance" is the bookmaker's margin, stacked once per leg. Shorter, sharper prices shrink it. To see a single price in all four formats, use the odds converter; to size a lone bet, the payout calculator. To spread the same picks over several smaller parlays, use the round robin calculator.

▌ FAQ

Common questions

How do you calculate a parlay?
Convert every leg to decimal odds, multiply them together, then multiply by your stake. Three legs at -110 are 1.909 × 1.909 × 1.909 = 6.958, so a $100 parlay returns $695.79 in total and $595.79 of that is profit. American and fractional odds work the same way once converted: +150 is 2.50 decimal and 5/2 is 3.50. The stake sits inside the decimal figure, which is why the product is a total return and not just a profit.
How are parlay odds calculated from American odds?
Convert each American price to decimal first. For positive odds the decimal is american / 100 + 1, so +150 becomes 2.50. For negative odds it is 100 / |american| + 1, so -110 becomes 1.909. Multiply the decimals, then convert the product back if you want an American figure. A -110, +150, -120 parlay is 1.909 × 2.50 × 1.833 = 8.75, which is +775 in American terms. You cannot add or average American odds directly — the scale is not linear.
What happens to a parlay if one leg is a push?
At most US sportsbooks, a pushed or voided leg is removed and the parlay is repriced on the legs that remain, which the calculator models by treating that leg as 1.00. A four-leg parlay with one push pays like a three-leg parlay. Settlement is not universal, though. Some promotional parlays, same-game parlays and teasers follow different rules, so check your sportsbook's house rules before relying on the repriced figure. If every leg pushes, you get your stake back.
Why is a parlay harder to win than it looks?
Every leg has to land, and the chances multiply. Four legs that are each a genuine 50% shot all win together 6.25% of the time. The sportsbook's margin multiplies as well: at -110 each leg carries about 4.5% expected loss on a true coin-flip, and across four legs that grows to about 17%. The table on this page shows the same compounding for 2 to 10 legs. A parlay is not a bigger version of a single bet — it is a single bet at a much worse price.
What is the implied hit rate shown in the results?
It is 1 divided by the combined decimal odds, shown as a percentage: the share of the time the parlay must win for the price to break even. Because every leg's odds already contain the bookmaker's margin, this number is higher than the true chance of the parlay landing. To strip the margin from a leg before you build the parlay, run it through the no-vig calculator and use the fair price instead.
How does a profit boost change a parlay payout?
A profit boost increases the winnings, not the stake. A 25% boost on a parlay that would profit $200 adds $50, for $250 profit and a $350 return on a $100 stake. Enter the percentage in the boost field and the calculator adds it on top of the base profit. Some boosts are capped, or only apply to a minimum number of legs, so the real terms of the offer matter more than the headline percentage.
Can I use this for same-game parlays?
You can enter the odds, but the number may not match your sportsbook. The product formula assumes the legs are independent. Legs from the same game usually are not — a quarterback's passing yards and his team winning move together — so sportsbooks price same-game parlays with a correlation adjustment, and the price shown on the betslip is usually shorter than the plain product of the legs. Use the betslip figure as the source of truth and this tool for the arithmetic.
How many legs can a parlay have?
It depends on the sportsbook. Many allow ten or more, and some lower the maximum for same-game parlays. This calculator accepts 2 to 12 legs. Past a handful of legs the combined odds become very long and the chance of winning very small, which is exactly what the longer payouts are compensating for.

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Bet return

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Total payout, profit and ROI on a single bet.

/ — methodology

Want the rest of the math?

Odds conversion, vigorish, implied probability and the push-handling assumptions used on this page are documented on the methodology page.

Read methodology