Parlay Calculator
Calculate the combined odds and potential payout for a multi-leg parlay bet. Convert American odds, see implied probabilities, and understand your risk.
Parlay Calculator
Calculator
Adjust values & calculateEnter your values below. Every result is computed in your browser — no data is sent to any server.
Formula: Combined Odds = Leg1 Decimal x Leg2 Decimal x ... x LegN Decimal
Worked example — Payout: $422.16 | Profit: $372.16 | Combined odds: +744 | Win probability: 11.8%
Formula
Combined Odds = Leg1 Decimal x Leg2 Decimal x ... x LegN Decimal
Each leg's American odds are converted to decimal odds. Positive odds: Decimal = 1 + (odds/100). Negative odds: Decimal = 1 + (100/|odds|). The decimal odds of all legs are multiplied to get combined odds. Payout = Stake x Combined Decimal Odds. Implied probability is the product of each leg's individual probability.
Worked Examples
Example 1: Three-Leg NFL Parlay
Problem:A bettor wagers $50 on a three-leg parlay: Team A at -110, Team B at +150, Team C at -130.
Solution:Convert to decimal odds: Team A: -110 -> 1 + (100/110) = 1.909 Team B: +150 -> 1 + (150/100) = 2.500 Team C: -130 -> 1 + (100/130) = 1.769 Combined odds: 1.909 x 2.500 x 1.769 = 8.443 Payout: $50 x 8.443 = $422.16 Profit: $422.16 - $50 = $372.16 Implied probability: 52.4% x 40.0% x 56.5% = 11.8%
Result:Payout: $422.16 | Profit: $372.16 | Combined odds: +744 | Win probability: 11.8%
Example 2: Two-Leg Favorites Parlay
Problem:A bettor places $200 on a two-leg parlay with two favorites: Game 1 at -200 and Game 2 at -150.
Solution:Convert to decimal odds: Game 1: -200 -> 1 + (100/200) = 1.500 Game 2: -150 -> 1 + (100/150) = 1.667 Combined odds: 1.500 x 1.667 = 2.500 Payout: $200 x 2.500 = $500.00 Profit: $500.00 - $200 = $300.00 Implied probability: 66.7% x 60.0% = 40.0%
Result:Payout: $500.00 | Profit: $300.00 | Combined odds: +150 | Win probability: 40.0%
Frequently Asked Questions
What is a parlay bet and how does it work?
A parlay, also known as an accumulator or combo bet, is a single wager that links together two or more individual bets. All selections must win for the parlay to pay out, which is why parlays offer much higher payouts than individual bets. The odds of each leg are multiplied together to produce the combined odds. For example, if you combine three bets each at even odds (2.0 decimal), the parlay odds would be 2.0 x 2.0 x 2.0 equals 8.0, meaning a $100 bet would pay $800. However, the probability of winning also decreases multiplicatively. Each individual bet at even odds has a 50 percent chance, so a three-leg parlay at even odds has roughly a 12.5 percent chance of winning. The high reward comes with correspondingly high risk.
How do you convert American odds to decimal odds?
American odds use positive and negative numbers to indicate underdogs and favorites respectively. For positive American odds like plus 150, divide by 100 and add 1 to get the decimal odds. So plus 150 becomes 1.50 plus 1 equals 2.50 in decimal. For negative American odds like minus 110, divide 100 by the absolute value and add 1. So minus 110 becomes 100 divided by 110 equals 0.909 plus 1 equals 1.909 in decimal. Decimal odds represent the total return per dollar wagered including your stake. So 2.50 decimal odds mean you get back $2.50 for every $1 bet, which is $1.50 profit plus your $1 stake. Understanding these conversions is essential for comparing odds across different sportsbooks that may use different formats.
What is implied probability and why does it matter for parlays?
Implied probability is the likelihood of an outcome as suggested by the betting odds. It is calculated from American odds as follows: for negative odds, implied probability equals the absolute odds value divided by the absolute odds value plus 100. For positive odds, implied probability equals 100 divided by the odds plus 100. For example, minus 150 implies a 60 percent probability and plus 200 implies a 33.3 percent probability. For parlays, implied probabilities are multiplied together, revealing how unlikely the combined outcome truly is. A three-leg parlay with implied probabilities of 60 percent, 55 percent, and 50 percent has a combined probability of only 16.5 percent. This helps bettors understand whether the payout adequately compensates for the risk taken.
Are parlays a good betting strategy from a mathematical perspective?
From a pure mathematical standpoint, parlays generally offer worse expected value than individual straight bets. This is because the house edge, also called the vig or juice, compounds with each additional leg. If a sportsbook has a 4.5 percent edge on each individual bet, a two-leg parlay has an effective house edge of about 8.8 percent, a three-leg parlay about 12.9 percent, and a four-leg parlay about 17 percent. The more legs you add, the more the odds tilt in the sportsbook's favor. However, some professional bettors use correlated parlays where outcomes are linked, such as betting on a team to win and the game total to go over, which can occasionally offer positive expected value when the sportsbook does not properly correlate the lines.
What is the difference between a parlay, a teaser, and a round robin?
These are all multi-bet formats but with important differences. A standard parlay requires all legs to win for any payout at all. A teaser is a type of parlay specific to point spread and total bets where you receive additional points in your favor on every leg, but the payout is reduced accordingly. For example, a six-point teaser on a football game might move a minus 7 spread to minus 1. A round robin takes three or more selections and creates every possible two-team or three-team parlay combination from those picks. So with four selections, a round robin of two-team parlays creates six separate bets. Round robins cost more because you are placing multiple bets but provide protection since you can still profit even if one or two selections lose.
What happens to a parlay when one leg pushes or is voided?
A push or void leg is normally removed and the bet is recalculated with the remaining legs, so a four-leg parlay with one push settles as a three-leg parlay at the product of the three surviving decimal odds. The stake is unchanged, which means the payout falls sharply because you lose an entire multiplier. A cancelled event, a fixture postponed beyond the book cutoff, or an exact-number push on a whole-number line are the usual causes. House rules vary, so confirm whether a push voids the leg or the whole ticket.
How much does adding one more leg change the payout and the win chance?
Each added leg multiplies both the payout and the difficulty. Three legs at minus 110 convert to 1.9091 decimal each, giving combined odds of about 6.96 and an implied probability of 0.5238 cubed, or roughly 14.4 percent. Adding a fourth leg at the same price lifts the payout to about 13.28 but drops the combined probability to about 7.5 percent. Payout grows geometrically while probability shrinks geometrically, and because the book margin is embedded in every leg it compounds along with them.
What is a correlated parlay and why do sportsbooks restrict them?
Legs are correlated when the outcome of one makes another more or less likely, such as a team moneyline paired with the game going over the total when that team scores heavily. Standard parlay pricing multiplies each leg independent probability, so positive correlation makes the true joint probability higher than the priced one and hands the bettor an edge. Books respond by blocking the combination outright or by repricing the ticket through a correlated-parlay model rather than a simple product of prices.
How does a same-game parlay differ from a traditional parlay?
A traditional parlay combines legs from separate events, which are close enough to independent that multiplying the decimal odds is a fair pricing method. A same-game parlay combines legs from a single event, where outcomes are heavily interdependent, so the book must price the whole combination with a joint model rather than a straight product. Those models generally carry a larger margin than the equivalent set of standalone bets, which is why same-game parlays typically hold more for the book than their leg prices alone would suggest.
Should I parlay several selections or bet them separately?
Betting the legs separately gives a much lower variance outcome and lets partial success still return money, whereas the parlay pays nothing unless every leg lands. On expectation the parlay is usually worse, because the bookmaker margin built into each leg compounds through the multiplication instead of being applied once per bet. Parlays make sense when you specifically want a low-probability, high-payout shape from a small stake, or when you hold a genuine edge on every leg so the compounding works in your favour.
References
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer · Editorial policy
Related Calculators
🧮Card Hand Probability Calculator
Calculate card hand probability with inputs, formulas, and instant results.
🧮Gacha Probability Calculator
Calculate gacha probability with inputs, formulas, and instant results.
🧮Match Win Probability Calculator
Calculate match win probability with inputs, formulas, and instant results.
🧮Card Probability Calculator
Calculate the probability of drawing specific cards from a standard 52-card deck.
🧮Dice Probability Calculator
Calculate the probability of rolling specific outcomes with any number and type of dice.
🧮Coin Toss Probability Calculator
Calculate the probability of getting a specific sequence of heads and tails in multiple flips.
🧮Gaming Pc Fps Calculator
Estimate frames per second based on GPU, CPU, resolution, and game optimization level.
🧮Dice Odds Calculator
Calculate dice odds with inputs, formulas, and instant results.