Parlay (gambling)

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A parlay, accumulator (or acca), combo bet or multi is a single bet that links together two or more individual wagers and is dependent on all of those wagers winning together. The benefit of the parlay is that there are much higher payoffs than placing each individual bet separately, since the difficulty of hitting all of them is much higher. If any of the bets in the parlay lose, the entire parlay loses. If any of the plays in the parlay ties, or "pushes", the parlay reverts to a lower number of teams with the odds reducing accordingly. Some gamblers believe that parlay is profitable in sports betting. In Places like Africa, North America, South America and Thailand sports betting is one of the fastest-growing industries.

Odds and payout

Parlay bets are paid out at odds higher than the typical single game bet, but still below the "true" odds. For instance, a common 2-team NFL parlay based entirely on the spread generally has a payout of 2.6:1.[ citation needed ] In reality however, if one assumes that each single game bet is 50/50, the true payout should instead be 3:1 (10% expected value for the house). A house may average 20-30% profit on spread parlays compared to perhaps 4.5% profit on individual sports mix parlay bets.

Aside from "spread" parlays, another way to parlay is to bet on two or more teams simply winning straight up. In order to calculate the payout of this parlay, one must multiply out the payout for all games. For example, if 3 teams are -385 favorites, a successful parlay on all 3 teams winning would pay out at a ratio of approximately 1/1. This is because (385/485)^3 is approximately 50%.

Examples

Typical payouts for up to 10 team parlay bet

The following is an example of a traditional Las Vegas Parlay Card at William Hill Sports Book, which shows the typical payouts for an up to 10 team parlay bet based on -1.10 prices (amount won is assuming \$100 is bet)[ citation needed ]:

NumberOddsAmount wonPayout
2 Team Parlay2.6 to 1\$260\$360
3 Team Parlay6 to 1\$600\$700
4 Team Parlay11 to 1\$1,100\$1,200
5 Team Parlay22 to 1\$2,200\$2,300
6 Team Parlay45 to 1\$4,500\$4,600
7 Team Parlay90 to 1\$9,000\$9,100
8 Team Parlay180 to 1\$18,000\$18,100
9 Team Parlay360 to 1\$36,000\$36,100
10 Team Parlay720 to 1\$72,000\$72,100

Profitability of parlays in sports betting

Many gamblers have mixed feelings as to whether or not parlays are a wise play. The best way to analyze if they are profitable in the long term is by calculating the expected value. The formula for expected value is: E[X] = x1p1 + x2p2 + x3p3…xkpk . Since the probability of all possible events will add up to 1 this can also be looked at as the weighted average of the event. The table below represents odds.[ citation needed ]

Column 1 = number of individual bets in the parlay

Column 2 = correct odds of winning with 50% chance of winning each individual bet

Column 3 = odds payout of parlay at the sportsbook

Column 4 = correct odds of winning parlay with 55% chance of winning each individual bet

Number of individual betsCorrect odds at 50%Odds payout at sportsbookCorrect odds of winning parlay at 55%
23 to 12.6 to 12.3 to 1
37 to 16 to 15.0 to 1
415 to 112 to 19.9 to 1
531 to 124 to 118.9 to 1
663 to 148 to 135.1 to 1
7127 to 192 to 164.7 to 1
8255 to 1176 to 1118.4 to 1
9511 to 1337 to 1216.1 to 1
101,023 to 1645 to 1393.8 to 1
112,047 to 11,233 to 1716.8 to 1

The table illustrates that if a 55% chance of winning each individual bet were achievable, parlays would be profitable in the long term. Compare the expected value you receive on an individual bet at a typical price of -110 with a 55% chance of winning: ((100/110+1)*.55)-1 = .05 (exactly 5 cents won for every dollar bet on average), multiplied by 11 = .55, to the expected return on the 11 game parlay ((1234/717.8)-1) = .719 (72 cents won for every dollar bet on average). In this case a parlay has a much higher expected value than individual bets with greatly increased variance in outcomes.

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