#1
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Pocket question
What are the odds of 2 players to have the same pocket pair?
ie. both with pocket 7s? |
#2
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Re: Pocket question
[ QUOTE ]
What are the odds of 2 players to have the same pocket pair? ie. both with pocket 7s? [/ QUOTE ] I couldn't answer that, but when the other person holding pocket sevens is a girl you have a crush on, and you both have a straight at the end, and you're trying to softplay her, because c'mon, she's a girl, and you don't want her to not like you do you, and then you both turn them over. Well that's how poker is played lady. |
#3
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Re: Pocket question
[ QUOTE ]
What are the odds of 2 players to have the same pocket pair? ie. both with pocket 7s? [/ QUOTE ] For 10 players and any duplicate pocket pair (not a specific pair) by the inclusion-exclusion principle: C(10,2)*13*6/C(52,2)/C(50,2) - C(10,2)*C(8,2)/2*13*6*12*6/C(52,2)/C(50,2)/C(48,2)/C(46,2) + C(10,2)*C(8,2)*C(6,2)/3!*13*6*12*6*11*6/C(52,2)/C(50,2)/C(48,2)/C(46,2)/C(44,2)/C(42,2) - C(10,2)*C(8,2)*C(6,2)*C(4,2)/4!*13*6*12*6*11*6*10*6/C(52,2)/C(50,2)/C(48,2)/C(46,2)/C(44,2)/C(42,2)/C(40,2)/C(38,2) + C(10,2)*C(8,2)*C(6,2)*C(4,2)*C(2,2)/5!*13*6*12*6*11*6*10*6*9*6/C(52,2)/C(50,2)/C(48,2)/C(46,2)/C(44,2)/C(42,2)/C(40,2)/C(38,2)/C(36,2)/C(34,2) =~ 462-to-1. |
#4
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Re: Pocket question
Thanks Bruce
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#5
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Re: Pocket question
Bruce,
Man, I wish I had your skills. [img]/images/graemlins/smile.gif[/img] In this case using inc/exc is a kind of an overkill, I think... Here is my solution: We know prob for two people to have the same pair: 3/51*2/50*1/49, we multiply it by number of ways we can choose two people from ten (C(10,2)) and this is it: 3/51*2/50/49*C(10,2) = 0.00216086435, which turns into 461.78:1 Any flaws here? |
#6
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Re: Pocket question
[ QUOTE ]
Bruce, Man, I wish I had your skills. [img]/images/graemlins/smile.gif[/img] In this case using inc/exc is a kind of an overkill, I think... Here is my solution: We know prob for two people to have the same pair: 3/51*2/50*1/49, we multiply it by number of ways we can choose two people from ten (C(10,2)) and this is it: 3/51*2/50/49*C(10,2) = 0.00216086435, which turns into 461.78:1 Any flaws here? [/ QUOTE ] That's the same as my first term. It's an approximation since it over counts the times that more than 1 pair of players have the same pair, but the other terms are so small that they can be ignored in this case. I just showed them because it was easy to do. |
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