Parlay cards: Finding the true odds

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  • MonkeyF0cker
    SBR Posting Legend
    • 06-12-07
    • 12144

    #1
    Parlay cards: Finding the true odds
    Well, it's football season. So in Vegas, that means: Parlay cards!! Except, as I'll show below, there really isn't all that much to be excited about.

    The standard parlay card payoff in Vegas has become 6 for 1 on 3-teamers. This is clever marketing lingo for 5:1. The advantage of parlay cards is that they contain stale lines. However, many books will remove games from them if there is too much action and subsequently line movement on particular games.

    If we want to find out the price we are paying per leg, you would perform the following calculations:

    First, find the implied probability of the payout of the card. Since the standard is 5:1 (+500), for 3-teamers, we'll use this as our example.

    You can either use the Odds Converter on SBR (http://www.sbrforum.com/Betting+Tool...Converter.aspx) to find this value, or you can plug in the numbers into the following formulas:

    For positive odds (>= +100):

    100 / (L + 100) = 100 / (500 + 100) = 100/600 = .16666667

    For negative odds (<= -101) we'd use L / (L - 100).

    Now that we've found the probability of the payoff, we need to find the implied probability of each leg. If we have 3 legs, then (each leg's probability)^3 = payout probability. So to find an individual leg, we'd find the cubed square root of the payout probability. Likewise, if we were dealing with a 4-teamer here, we'd find the quaternary square root.

    So... Sqrt^3(.16666666667) = .55032

    This tells us that each leg of our parlay card has an implied probability of 55.032%

    Again, we can plug this number into the odds converter and find our line of -122.38. This is the price you pay per leg on most parlay cards in Vegas, which makes them extremely hard to beat. However, there are still ways to do so but the opportunities are extremely limited.

    BTW, you can also perform these calculations for teasers.

    Good luck!
  • smitch124
    SBR Posting Legend
    • 05-19-08
    • 12566

    #2
    Add in the average loss on the BJ/Pai Gow tables on the way to the sportbooks and the real line is -131.54.
    Comment
    • MonkeyF0cker
      SBR Posting Legend
      • 06-12-07
      • 12144

      #3
      Haha, smitch. You can actually get an edge in Pai Gow.
      Comment
      • MonkeyF0cker
        SBR Posting Legend
        • 06-12-07
        • 12144

        #4
        Even BJ, if you're counting cards...
        Comment
        • smitch124
          SBR Posting Legend
          • 05-19-08
          • 12566

          #5
          Really? Thats interesting, I have to assume that most parlay card players are unaware of this and I will stick to my "sportsbook always in the back" adjustment.
          Comment
          • reno cool
            SBR MVP
            • 07-02-08
            • 3567

            #6
            Is that Pai gow with cards or dominoes? I didn't think you could get an edge at that, at least not in a live casino. Care to give a hint?
            bird bird da bird's da word
            Comment
            • MonkeyF0cker
              SBR Posting Legend
              • 06-12-07
              • 12144

              #7
              Bank.
              Comment
              • reno cool
                SBR MVP
                • 07-02-08
                • 3567

                #8
                This is not something allowed in Vegas casinos?
                bird bird da bird's da word
                Comment
                • MonkeyF0cker
                  SBR Posting Legend
                  • 06-12-07
                  • 12144

                  #9
                  There isn't a casino I know of in Vegas that you can't bank in Pai Gow.
                  Comment
                  • reno cool
                    SBR MVP
                    • 07-02-08
                    • 3567

                    #10
                    ha. game I know nothing about. Is it often player banked. And you are talking tiles, not pai gow poker?
                    bird bird da bird's da word
                    Comment
                    • MonkeyF0cker
                      SBR Posting Legend
                      • 06-12-07
                      • 12144

                      #11
                      It's almost never banked. Most players are square. Pai Gow Poker.
                      Comment
                      • MonkeyF0cker
                        SBR Posting Legend
                        • 06-12-07
                        • 12144

                        #12
                        There are certain criteria you need to have an edge, however.
                        Comment
                        • Bread
                          SBR Posting Legend
                          • 03-16-08
                          • 23726

                          #13
                          MF here is a visual for you:

                          I just read your entire post with a confused look on my face, in my underwear, and spilled beer on my Peanuts t-shirt. It almost got on Sally, but Schroeder took the brunt of the spillage.

                          Thanks for the education, buddy.
                          Comment
                          • MonkeyF0cker
                            SBR Posting Legend
                            • 06-12-07
                            • 12144

                            #14
                            Comment
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