## Parlay Formula

Calculating parlay odds is simple when using decimal odds: Simply multiply the odds from each leg together to get the parlay odds. But it gets a little trickier if you’re using American odds. 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.

Parlay Formula is a unique way to bet on the races. To parlay a bet is simply to reinvest the winning dividends from one race to a bet on a subsequent race. By parlaying the dividends of one race onto a subsequent race, the dividends are multiplied together, thereby. Under the parlay formula, this bet is then removed from your card as if it was not included in the first place. However, you still need to win all the other legs on the ticket to win the parlay bet. A Few Words About Parlay Bet. Many sportsbooks advertise this type of bet to force punters to be perfect in their selections, which is difficult to do. . For example, if you place a Parlay Formula bet with a win, place or quinella selection on 4 races and you check the Formula 1, 2, 3 and 4 boxes, the following will be the 15 parlay combinations; You will receive a dividend for each combination of races where your selection or selections win.

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.

## Odds and payout[edit]

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[edit]

### Typical payouts for up to 10 team parlay bet[edit]

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]}:

Number | Odds | Amount won | Payout |
---|---|---|---|

2 Team Parlay | 2.6 to 1 | $260 | $360 |

3 Team Parlay | 6 to 1 | $600 | $700 |

4 Team Parlay | 11 to 1 | $1,100 | $1,200 |

5 Team Parlay | 22 to 1 | $2,200 | $2,300 |

6 Team Parlay | 45 to 1 | $4,500 | $4,600 |

7 Team Parlay | 90 to 1 | $9,000 | $9,100 |

8 Team Parlay | 180 to 1 | $18,000 | $18,100 |

9 Team Parlay | 360 to 1 | $36,000 | $36,100 |

10 Team Parlay | 720 to 1 | $72,000 | $72,100 |

## Profitability of parlays in sports betting[edit]

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

## Parlay Calculator Formula Excel

Column 3 = odds payout of parlay at the sportsbook

## Parlay Calculator Formula Excel

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

Number of individual bets | Correct odds at 50% | Odds payout at sportsbook | Correct odds of winning parlay at 55% |
---|---|---|---|

2 | 3 to 1 | 2.6 to 1 | 2.3 to 1 |

3 | 7 to 1 | 6 to 1 | 5.0 to 1 |

4 | 15 to 1 | 12 to 1 | 9.9 to 1 |

5 | 31 to 1 | 24 to 1 | 18.9 to 1 |

6 | 63 to 1 | 48 to 1 | 35.1 to 1 |

7 | 127 to 1 | 92 to 1 | 64.7 to 1 |

8 | 255 to 1 | 176 to 1 | 118.4 to 1 |

9 | 511 to 1 | 337 to 1 | 216.1 to 1 |

10 | 1,023 to 1 | 645 to 1 | 393.8 to 1 |

11 | 2,047 to 1 | 1,233 to 1 | 716.8 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.