Parlay Payout Calculator
Calculate potential parlay bet payouts from individual leg odds in any format. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Sher, Sports Science & Nutrition Specialist
Parlay Payout Calculator
Calculator
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Formula: Parlay Payout = Wager x (Decimal Odds Leg1 x Decimal Odds Leg2 x ... x Decimal Odds LegN)
Worked example — Parlay odds: +629 | Payout: $728.90 | Profit: $628.90 | Win probability: ~13.7%
Formula
Parlay Payout = Wager x (Decimal Odds Leg1 x Decimal Odds Leg2 x ... x Decimal Odds LegN)
Each leg odds are converted to decimal format (positive American: odds/100 + 1; negative American: 100/|odds| + 1), then multiplied together. The combined decimal odds multiplied by the wager amount equals the total payout including the original stake. Implied probability is the inverse of the combined decimal odds.
Worked Examples
Example 1: Three-Leg NFL Parlay
Problem:Calculate payout for a $100 three-leg parlay: Team A moneyline (-110), Team B spread (-110), Over 45.5 (+100).
Solution:Convert to decimal odds: Leg 1: -110 = 100/110 + 1 = 1.909 Leg 2: -110 = 100/110 + 1 = 1.909 Leg 3: +100 = 100/100 + 1 = 2.000 Combined decimal: 1.909 x 1.909 x 2.000 = 7.289 Total payout: $100 x 7.289 = $728.90 Profit: $728.90 - $100 = $628.90 Implied probability: 1/7.289 = 13.72%
Result:Parlay odds: +629 | Payout: $728.90 | Profit: $628.90 | Win probability: ~13.7%
Example 2: Five-Leg Underdog Parlay
Problem:Calculate payout for a $25 five-leg parlay with all legs at +150 odds.
Solution:Convert to decimal: +150 = 150/100 + 1 = 2.50 Combined decimal: 2.50^5 = 97.656 Total payout: $25 x 97.656 = $2,441.41 Profit: $2,441.41 - $25 = $2,416.41 Implied probability: 1/97.656 = 1.02% True probability (removing vig): (40% x 0.955)^5 = 0.87% Expected value: (0.0087 x $2,416.41) - (0.9913 x $25) = $21.02 - $24.78 = -$3.76
Result:Parlay odds: +9666 | Payout: $2,441.41 | Profit: $2,416.41 | Win probability: ~1%
Frequently Asked Questions
What is a parlay bet and how does it work?
A parlay bet combines two or more individual wagers (called legs) into a single bet where all selections must win for the parlay to pay out. The odds of each leg are multiplied together to create the combined parlay odds, which means the potential payout increases exponentially with each added leg. For example, three legs at -110 each produce parlay odds of approximately +596 instead of three separate -110 bets. If even one leg loses, the entire parlay loses. This all-or-nothing structure is what creates the dramatically higher payouts compared to individual bets. Parlays are popular because they offer the chance to turn a small wager into a large payout, but the combined probability of winning decreases with each added leg.
How are parlay odds calculated from individual leg odds?
Parlay odds are calculated by converting each leg to decimal odds and multiplying them together. For American odds, positive odds are converted to decimal by dividing by 100 and adding 1 (so +150 becomes 2.50). Negative odds are converted by dividing 100 by the absolute value and adding 1 (so -110 becomes 1.909). The combined decimal odds equal the product of all leg decimals. For a three-leg parlay with -110, -110, and +150: 1.909 x 1.909 x 2.50 = 9.11 decimal odds. The payout equals your wager multiplied by the combined decimal odds ($100 x 9.11 = $911.00 total payout, or $811.00 profit). This multiplicative structure is why parlays offer such high returns but are mathematically difficult to win consistently.
What is implied probability and why does it matter for parlays?
Implied probability converts betting odds into a percentage that represents how likely the sportsbook believes an outcome is to occur, including the built-in house edge (vigorish). For American odds of -110, the implied probability is 52.38 percent, meaning the sportsbook estimates that outcome will happen about 52 percent of the time. The actual fair probability is closer to 50 percent, with the difference being the sportsbook margin. For parlays, implied probabilities multiply together: three legs at 52.38 percent each produce a combined implied probability of 14.37 percent. Understanding implied probability helps you evaluate whether a parlay offers positive expected value. If you believe the true probability of all legs hitting exceeds the breakeven percentage (inverse of decimal odds), the parlay has positive expected value.
What is the house edge (vig) on parlay bets?
The vigorish or vig on parlay bets compounds with each additional leg, making parlays significantly more profitable for sportsbooks than individual bets. On a single -110 bet, the house edge is approximately 4.5 percent. On a two-leg parlay with -110 odds on both legs, the combined vig increases to approximately 9 percent. A three-leg parlay carries roughly 13 percent vig, and a five-leg parlay can have 20 to 25 percent vig depending on the odds of each leg. This compounding effect occurs because the sportsbook margin on each leg multiplies through the parlay calculation. Some sportsbooks offer parlay-specific promotions like parlay insurance (refunding your stake if one leg misses) or parlay boosts (enhanced odds), which can partially offset the increased vig.
Are parlays a good betting strategy?
From a pure expected value perspective, parlays are generally a negative expected value proposition because the compounding vigorish erodes your edge with each additional leg. Professional sports bettors typically avoid parlays with more than two or three legs for this reason. However, parlays serve a valid role in certain strategies. Correlated parlays, where the outcomes of legs are positively linked (such as a team winning and the total going over in a blowout scenario), can offer better value than the standard odds suggest. Small-stake parlays provide entertainment value with the potential for outsized returns, similar to buying a lottery ticket. Two-leg parlays with carefully selected positive expected value legs can remain profitable. The key principle is that the more legs you add, the worse your mathematical expectation becomes.
What is the difference between American, decimal, and fractional odds?
The three main odds formats represent the same information differently. American odds use positive and negative numbers: negative odds (like -150) show how much you must bet to win $100, while positive odds (like +200) show how much you win on a $100 bet. Decimal odds (like 2.50) represent the total return per dollar wagered including your stake, so a $100 bet at 2.50 returns $250 total ($150 profit). Fractional odds (like 3/2) show profit relative to stake, so 3/2 means you win $3 for every $2 wagered. To convert: -150 American = 1.667 decimal = 2/3 fractional. +200 American = 3.00 decimal = 2/1 fractional. Decimal odds are the easiest to use for parlay calculations because you simply multiply all decimal odds together to get the combined parlay odds.
How many legs should I include in a parlay?
The optimal number of parlay legs depends on your goals and risk tolerance, but mathematically fewer legs is always better for expected value. Two-leg parlays maintain a relatively low combined vig of around 9 percent and offer a realistic chance of winning. Three-leg parlays push the combined vig above 13 percent but can still be profitable with carefully selected bets. Four to six-leg parlays carry 18 to 28 percent combined vig, making them very difficult to profit from long-term even with sharp selections. Parlays with seven or more legs should be treated as entertainment bets with money you can afford to lose, as the combined probability of winning drops below 5 percent in most cases. If you enjoy parlays, consider limiting yourself to two or three legs and focusing on legs where you believe you have a genuine edge over the sportsbook line.
What happens if one leg of my parlay pushes or is voided?
When a parlay leg pushes (ties) or is voided (due to game cancellation, player scratch, or other circumstances), the standard treatment at most sportsbooks is to remove that leg from the parlay and recalculate the payout based on the remaining legs. For example, if you have a four-leg parlay and one leg pushes, it becomes a three-leg parlay at the combined odds of the three remaining legs. This is generally favorable to the bettor because the parlay is not automatically lost. However, policies vary between sportsbooks, and some may have specific rules for certain bet types or promotions. Same-game parlays may handle pushes differently than traditional parlays. Always check your sportsbook specific push and void policies before placing parlay bets, as these details can significantly affect your expected outcomes.
What are same-game parlays and how do they differ from standard parlays?
Same-game parlays (SGPs) combine multiple bets from the same game into a single parlay, such as pairing a moneyline, player prop, and total points bet from one contest. Traditional parlays require legs from different games because the outcomes are assumed to be independent. SGPs acknowledge that outcomes within the same game can be correlated and adjust the odds accordingly. For example, betting on a team to win and their quarterback to throw three or more touchdowns has positive correlation because high-scoring quarterback performances often lead to team victories. Sportsbooks use proprietary algorithms to calculate SGP odds that account for these correlations, sometimes offering slightly worse odds than the mathematical combination would suggest. SGPs have become extremely popular with casual bettors and represent significant sportsbook revenue.
How do I calculate expected value for a parlay bet?
Expected value (EV) for a parlay equals the probability of winning multiplied by the profit, minus the probability of losing multiplied by the stake. The formula is: EV = (True Probability x Profit) - ((1 - True Probability) x Stake). The critical challenge is estimating true probability, which requires removing the sportsbook vig from the implied probability. For a standard -110 line, the implied probability is 52.38 percent but the true probability is approximately 50 percent. For a three-leg parlay at -110 each, the true probability is 0.50 x 0.50 x 0.50 = 12.5 percent, the potential profit on a $100 bet is approximately $596, so EV = (0.125 x $596) - (0.875 x $100) = $74.50 - $87.50 = -$13.00. This negative EV of -13 percent illustrates why most parlays are unprofitable long-term, though finding legs with individual positive EV can improve parlay EV.
References
Reviewed for accuracy by Sher, Sports Science & Nutrition Specialist · Editorial policy
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