#1
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Probability Exercise/Challenge
OK, here's the challenge I've been working on lately. With one card to come in Hold'em, what is the lowest possible probability of a split pot, given that the 2 players have an equal chance to win the hand outright.
I believe that a pure 50/50 solution with no possibility of a split is impossible, but don't know what the best solution is. I'm guessing somewhere in the 40/40/20 range but would love to hear any thoughts. I'm not sure that this exercise has any real practical benefit, other than playing with complex out situations, so I thought this was the right forum for the posting. Ideas????? |
#2
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Re: Probability Exercise/Challenge
Your post is very hard to make sense of. After about 9 reads, I think I get what you're asking for. Define "equal chance of winning". Exactly equal? That's a huge requirement. Examples here would be beneficial to understanding what you're looking for.
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#3
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Re: Probability Exercise/Challenge
I'm pretty sure he is asking the following:
Event A = player A wins the pot Event B = player B wins the pot Event S = split pot With one card left to be dealt: given that P(A) = P(B), minimize P(S) |
#4
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Re: Probability Exercise/Challenge
and here is your answer....
http://twodimes.net/poker/?g=h&b=3h+...+Kh%0D%0A2h+2s Board = 3h 3dc 9h Jh Player A = Kc Qh Player B = 2s 2h Both players have 22 outs, 50/50 chance to win, 0 chance to split |
#5
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Re: Probability Exercise/Challenge
nh
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#6
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Re: Probability Exercise/Challenge
Here's another one [img]/images/graemlins/smile.gif[/img]
Player 1: QJ hearts Player 2: 4 club 7 heart Board: 10H 9H 10S 4D same thing - 50/50 |
#7
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Re: Probability Exercise/Challenge
I had this one last night.
Me 8 [img]/images/graemlins/diamond.gif[/img] 7 [img]/images/graemlins/diamond.gif[/img] Him 9 [img]/images/graemlins/heart.gif[/img] 9[img]/images/graemlins/club.gif[/img] Board: K [img]/images/graemlins/diamond.gif[/img] 8 [img]/images/graemlins/heart.gif[/img] 7 [img]/images/graemlins/heart.gif[/img] T [img]/images/graemlins/heart.gif[/img] Also 50/50 no chance of split. |
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