Probability Of Paired Board

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rivux Beginner Posts: 1 Joined: 2009-09-23 Add as Friend Send Message	Spam Quote Reply Posted: 2009-09-25 21:14 I've seen the odds for the flop being paired, but haven't been able to find the odds of a board pairing if it reaches the river. If anyone has a link or can show the calculations I would appreciate it.
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Rockbottom87 Veteran Posts: 1240 Joined: 2006-12-29 Add as Friend Send Message	Spam Quote Reply Posted: 2009-09-26 02:35 first card is not an issue, the second card has a chance of 3/51 to pair, the third card 6/50, the turn 9/49, the river 12/48. I would say it is relatively likely to pair the board somewhere... somewhere in the range of 60%... this number seems to big to me, so I prolly made a mistake somewhere... I need a girlfriend who loves me for my money... and is pretty bad with math.
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rubin Beginner Posts: 3 Joined: 2009-06-05 Add as Friend Send Message	Spam Quote Reply Posted: 2009-10-24 06:08 Well, since the board is just 5 cards this is just the same as asking how many pairs are possible in a 5 card hand. Wikipedia gives that a 42% chance, actually more since three of a king, quads, and full house, should also be added to the list since technically the board has paired. According to here the chance a player will win with a pair is around 30%.
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