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what are the odds of getting pocket red kings

    • GetARealJob
      GetARealJob
      Bronze
      Joined: 06.02.2012 Posts: 209
      hi everyone
      i need to work out how many cash games hands i need to play (on average) to get pocket red kings (kd kh)
      so is this 2/52 multiplyed by 1/51

      if so how many hands does this on average work out that you would have to play before you get the hand

      there is a reason for me asking lol but i dont want to promote a poker room that pstrat does not have deals on
  • 5 replies
    • boboistina
      boboistina
      Bronze
      Joined: 10.05.2008 Posts: 271
      in texas hold'em there are 1326 whole card combinations you can get, and there is only 1 combination of red kings so it's 1/1326 or 0.075% chance you're gonna get KhKh on a dealt hand.

      The math behind it if you're interested is 52!/2!(52-50)! = 52!/2!50!= 51x52/2 = 1326.
    • GetARealJob
      GetARealJob
      Bronze
      Joined: 06.02.2012 Posts: 209
      thanks a lot 1300ish hands of cash game for me then tonight lol will make a nice change from grinding 5 max ongame sit and gos
    • boboistina
      boboistina
      Bronze
      Joined: 10.05.2008 Posts: 271
      this only means you should get on KdKh on average once every 1326 hands, however you may not get them even in 10k hands or may get them 5 times in 1326.
    • GetARealJob
      GetARealJob
      Bronze
      Joined: 06.02.2012 Posts: 209
      yeah obviously but it is rathehr unlikely that id have to play over 2500 hands
    • Salivanth
      Salivanth
      Bronze
      Joined: 01.01.2011 Posts: 587
      Indeed. I'm pretty sure the math is, if something happens 1 time in X, if you repeat the event X times, you have a 75% chance of getting it at least once. So you have a 93.75% chance of getting the hand 1+ times in 2,652 hands, and a 75% chance of getting the hand 1+ times in 1,326.