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  1. I just moved to Las Vegas and my roommate, also a poker player, and I have been making a few prop bets with one another.

    The latest one came up today: if four players each have a different pocket pair, what percentage of the time does at least one player make a set on the flop. We set the over/under at 45% and I took the over for $200.

    If someone who is math inclined can just confirm that this is how you'd get the answer:

    1 - [36 * 35 * 34] = 0.46089
    [44 43 42]

    I'd appreciate it
  2. (8/44)+(8/43)+(8/42)=.558

    8 cards that make a set.

    44 cards unkown -1 after each card shown.
  3. Sick hidden brag about moving to Vegas...
  4.  
    Originally Posted by Piloteg View Post

    1 - [36 * 35 * 34]  = 0.46089
         [44    43   42]  

    This is right.
  5.  
    Originally Posted by goofy2485 View Post

    (8/44)+(8/43)+(8/42)=.558

    8 cards that make a set.

    44 cards unkown -1 after each card shown.

    So if each player at a nine-handed table held a different pocket pair, then the odds would be (18/34) + (18/33) + (18/32) = 1.64, yes? Since 18 cards make a set, and there are 34 unknowns before the flop?
  6.  
    Originally Posted by MDG0RD0N View Post

     
    Originally Posted by goofy2485 View Post

    (8/44)+(8/43)+(8/42)=.558

    8 cards that make a set.

    44 cards unkown -1 after each card shown.

    So if each player at a nine-handed table held a different pocket pair, then the odds would be (18/34) + (18/33) + (18/32) = 1.64, yes? Since 18 cards make a set, and there are 34 unknowns before the flop?

    Maybe I'm going crazy but that would mean that more often than not, 2 people would hit a set. But I'm probably wrong.
  7.  
    Originally Posted by Piloteg View Post

    1 - [36 * 35 * 34] = 0.46089
    [44 43 42]

    this is correct. 1 - probability of none flopping a set
     
  8.  
    Originally Posted by chrispy2005 View Post

     
    Originally Posted by Piloteg View Post

    1 - [36 * 35 * 34] = 0.46089
    [44 43 42]

    this is correct. 1 - probability of none flopping a set

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