Poker probability question

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  • Igetp2s
    SBR MVP
    • 05-21-07
    • 1046

    #1
    Poker probability question
    If you are playing a heads-up tournament against someone exactly as skilled as you are, and you have 75% of the total chips in your stack, is your chance of ultimately winning the tournament 75%? Or is it more or less than that? Not sure how to go about calculating this if it isn't 75%.

    Thanks for your help.
  • TheLock
    SBR Posting Legend
    • 04-06-08
    • 14427

    #2
    How is there any way possible to determine that your opponent is "exact same skilled" as you are?
    Comment
    • head_strong
      SBR MVP
      • 07-02-08
      • 4318

      #3
      It's poker anything can happen, if you are playing this tournament online and have 75% of the chips you are 2-1 dog.....
      Comment
      • roasthawg
        SBR MVP
        • 11-09-07
        • 2990

        #4
        I would think you need more information... such as bet limits, player betting tendencies, etc.
        Comment
        • MonkeyF0cker
          SBR Posting Legend
          • 06-12-07
          • 12144

          #5
          The only way to really put a number on that would be to create a sim. There are a lot of variables that need to be accounted for such as player tendencies, blinds & antes, stack sizes, etc. (as roasthawg alluded to). It's probably not worth the effort to calculate, but if I had to guess, I'd say 4:1 (80%) or better at average skill level with the short stack at about 10-15 times the blinds and antes.
          Comment
          • Justin7
            SBR Hall of Famer
            • 07-31-06
            • 8577

            #6
            If it is no-limit, and limits are small relative to chip size, 75% is correct.

            If you're looking to settle in the final 2, the fair settlement is to take the DIFFERENCE between first and second - and give 75% of that to the leader. I.e. if payouts for 1 and 2 were $500 and $300, both players are guaranteed at least $300 with $200 at stake. 1st should get $450, 2d should get $350.
            Comment
            • 20Four7
              SBR Hall of Famer
              • 04-08-07
              • 6703

              #7
              Originally posted by Igetp2s
              If you are playing a heads-up tournament against someone exactly as skilled as you are, and you have 75% of the total chips in your stack, is your chance of ultimately winning the tournament 75%? Or is it more or less than that? Not sure how to go about calculating this if it isn't 75%.

              Thanks for your help.
              In poker the skill difference doesn't have to be a lot for you to gain an edge. But yes if your both equally skilled and have 3/4 of the chips you should win approximately 3/4 of the time. That doesn't mean you can't lose 3 in a row in this situation as this is a long term propect that will have variance due to the cards etc.
              Comment
              • Igetp2s
                SBR MVP
                • 05-21-07
                • 1046

                #8
                Originally posted by Justin7
                If it is no-limit, and limits are small relative to chip size, 75% is correct.

                If you're looking to settle in the final 2, the fair settlement is to take the DIFFERENCE between first and second - and give 75% of that to the leader. I.e. if payouts for 1 and 2 were $500 and $300, both players are guaranteed at least $300 with $200 at stake. 1st should get $450, 2d should get $350.
                I should have specified that I was talking about NL, and that the small stack has a comfortable cushion above the blinds, so there's no real urgency to push with weaker cards. I wasn't raising this question to determine settlements really, I was raising it to evaluate tournament performance.

                Basically, i wanted to see if my heads up skills are above or below my expected win % based on the chip count when I am 1 of the final 2 in a tournament. Obviously you need a lot of results to do meaningful analysis, but just want to know if my method of calculating expected win % is reasonable.
                Comment
                • Pokerjoe
                  SBR Wise Guy
                  • 04-17-09
                  • 704

                  #9
                  Originally posted by Justin7
                  If it is no-limit, and limits are small relative to chip size, 75% is correct.

                  If you're looking to settle in the final 2, the fair settlement is to take the DIFFERENCE between first and second - and give 75% of that to the leader. I.e. if payouts for 1 and 2 were $500 and $300, both players are guaranteed at least $300 with $200 at stake. 1st should get $450, 2d should get $350.
                  I think there may be some disproportionate value to chips as your stack reduces, though. For example, if you are down to your last chips, 2 chips probably isn't quite 2x the value of 1 chip, and so on.

                  But last I heard, the tourney guys were calculating things the way Justin outlines above, so the difference may be negligible.
                  Comment
                  • MonkeyF0cker
                    SBR Posting Legend
                    • 06-12-07
                    • 12144

                    #10
                    Again, it depends. If you look at from a coinflip situation, the short stack is facing 7:1 odds to win 3 all-in coinflips and subsequently the tournament. The stack size, blinds/antes, and aggression level of the players are huge factors. It's certainly not a blanket percentage.
                    Comment
                    • MonkeyF0cker
                      SBR Posting Legend
                      • 06-12-07
                      • 12144

                      #11
                      For chopping purposes, yeah, that's pretty standard but I'm not sure that was the intent of the thread.
                      Comment
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