Quick Answer
To work out a parlay, convert each leg to decimal odds and multiply them. Three legs at −110 are 1.909 each, so the parlay is 6.958 in decimal, or +596 in American odds. A $10 bet pays $69.58 in total, a $59.58 profit, but the implied chance that all three win is only 14.4%.
Embed this calculator
Adjust the size if needed, then copy the code below into your page or blog. The calculator will load in an iframe and stay updated automatically.
Table of Contents
- Parlay Calculator
- Quick Answer
- Related Calculators
- How This Parlay Calculator Works
- How to Use the Parlay Calculator
- Parlay Formulas
- Key Terms
- Worked Example
- Real-Life Examples
- Parlay vs Single Bets
- Parlay Payouts at −110 per Leg
- Why Parlays Are Hard to Win
- Common Mistakes to Avoid
- Frequently Asked Questions
- References & Sources
How This Parlay Calculator Works
Choose American or decimal odds, enter your stake, and fill in the odds for each leg of the parlay. Leave the boxes for unused legs empty. The calculator converts every leg to decimal odds, multiplies them together to get the parlay odds, and shows the total payout, the profit, the parlay odds in both formats, and the implied chance that every leg wins.
Quick explanation: a parlay combines several bets into one.
- Bigger payout: the odds multiply, so the price grows fast.
- All or nothing: every leg has to win.
- Lower chance: the probability of winning shrinks with each leg.
How to Use the Parlay Calculator
- Choose American or decimal odds.
- Enter your stake.
- Enter the odds for each leg, leaving unused legs empty.
- Press Calculate.
- Read the payout, profit, parlay odds and implied chance.
Parlay Formulas
- Leg to decimal: +odds → 1 + odds ÷ 100; −odds → 1 + 100 ÷ |odds|
- Parlay decimal odds: leg 1 × leg 2 × … × leg n
- Payout: stake × parlay decimal odds; profit: payout − stake
- Implied chance all legs win: 1 ÷ parlay decimal odds (the product of each leg's implied probability)
- Back to American: decimal ≥ 2 → (decimal − 1) × 100; below 2 → −100 ÷ (decimal − 1)
Key Terms
- Parlay: a single bet linking two or more selections that all must win.
- Leg: one selection in a parlay.
- Push: a tie on a bet, usually refunded; in a parlay the leg is often removed.
- Implied probability: the chance suggested by the odds.
- Correlated parlay: a parlay whose legs depend on each other, often limited by sportsbooks.
Worked Example
A 2-leg parlay: a +150 underdog and a −120 favorite, with a $20 stake.
- +150 = 2.500 decimal; −120 = 1 + 100 ÷ 120 = 1.8333
- Parlay odds = 2.500 × 1.8333 = 4.5833, or +358 American
- Payout = $20 × 4.5833 = $91.67; profit = $71.67
- Implied chance both win = 21.82%
Real-Life Examples
- 3 legs at −110: $10 pays $69.58 (+596).
- +150 and −120: $20 pays $91.67.
- 4 legs (−200, +120, +105, −150): $5 pays $56.37, with an implied 8.87% chance.
- 6 legs at −110: the parlay is about +4,741, but the implied chance is only 2.07%.
Parlay vs Single Bets
- Single bets: each bet stands alone; you can win some and lose some.
- Parlay: one bet that needs every leg to win, for a much bigger payout.
- Round robin: a set of smaller parlays from the same picks, so one loss does not lose everything.
Parlay Payouts at −110 per Leg
| Legs | Decimal odds | American odds | Payout on $10 | Implied chance |
|---|---|---|---|---|
| 2 | 3.645 | +264 | $36.45 | 27.44% |
| 3 | 6.958 | +596 | $69.58 | 14.37% |
| 4 | 13.283 | +1,228 | $132.83 | 7.53% |
| 5 | 25.359 | +2,436 | $253.59 | 3.94% |
| 6 | 48.413 | +4,741 | $484.13 | 2.07% |
| 7 | 92.424 | +9,142 | $924.24 | 1.08% |
| 8 | 176.446 | +17,545 | $1,764.46 | 0.57% |
Why Parlays Are Hard to Win
Each leg's odds include the sportsbook's margin, and in a parlay those margins multiply too. Three −110 legs each have an implied chance of 52.4%, but the chance that all three win is only about 14%, and the fair payout for three coin-flip bets would be +700 rather than the +596 offered. That is why parlays are popular for their big payouts but usually cost bettors more over time than single bets. Correlated legs, such as a team winning and its quarterback throwing for many yards, are often restricted because the outcomes are not independent.
Treat any bet as entertainment. Help is available from the National Problem Gambling Helpline at 1-800-GAMBLER in the US.
Common Mistakes to Avoid
- Adding the odds instead of multiplying. Parlay odds are the product of the decimal odds.
- Ignoring the falling chance of winning. Each extra leg lowers it a lot.
- Mixing formats. Enter every leg in the format you selected.
- Assuming a push loses. Usually the leg is removed and the parlay pays at lower odds.
- Betting more than you can afford. Set a limit before you bet.
Frequently Asked Questions
Convert each leg to decimal odds, multiply them, and multiply by your stake.
About +596: a $10 bet returns $69.58.
Most sportsbooks drop that leg and pay the parlay at the odds of the remaining legs.
It depends on the sportsbook; this calculator handles up to 8.
They pay more, but the chance of winning drops quickly and the house margin grows.
Yes, choose Decimal and enter odds such as 1.91 or 2.50.
The probability that all legs win suggested by the odds, before removing the bookmaker margin.
Several smaller parlays built from the same picks, such as every pair from 3 teams.
Gambling winnings are taxable income in the US.
References & Sources
| Source | Used For | Link |
|---|---|---|
| OpenStax, Contemporary Mathematics, 7.7 What Are the Odds? | Converting odds to probability. | https://openstax.org/books/contemporary-mathematics/pages/7-7-what-are-the-odds |
| OpenStax, Contemporary Mathematics, 7.6 Probability with Permutations and Combinations | Probability of combined events. | https://openstax.org/books/contemporary-mathematics/pages/7-6-probability-with-permutations-and-combinations |
| National Council on Problem Gambling | Help and the 1-800-GAMBLER helpline. | https://www.ncpgambling.org/ |