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.
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:\nLeg 1: -110 = 100/110 + 1 = 1.909\nLeg 2: -110 = 100/110 + 1 = 1.909\nLeg 3: +100 = 100/100 + 1 = 2.000\n\nCombined decimal: 1.909 x 1.909 x 2.000 = 7.289\nTotal payout: $100 x 7.289 = $728.90\nProfit: $728.90 - $100 = $628.90\nImplied 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\n\nCombined decimal: 2.50^5 = 97.656\nTotal payout: $25 x 97.656 = $2,441.41\nProfit: $2,441.41 - $25 = $2,416.41\nImplied probability: 1/97.656 = 1.02%\nTrue probability (removing vig): (40% x 0.955)^5 = 0.87%\nExpected 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
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 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.
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.
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.
Can I use Parlay Payout Calculator on a mobile device?
Yes. All calculators on NovaCalculator are fully responsive and work on smartphones, tablets, and desktops. The layout adapts automatically to your screen size.