By poker_boy | 1 Comment
Last updated: Sunday, August 29, 2010 | 52 Views Tags: odds, pairs, poker, probability question
This week’s question is as follows:
Question: In texas hold em if the board pairs what are the odds of having the paired card which would obviously turn into 3 of a kind. e.g the board is 47482 - what are the odds of having the four?
Answer: It depends on what other cards you’ve seen and what the other information tells you (e.g. what, if anything, the other bets tell you).
If you’ve seen no other cards (I don’t know how that happens, since you surely have seen your own cards at least), then the probability of one particular hand of 2 including exactly one of the two remaining fours is
(4 x 45)/(46 x 47)
(which is about 1/12 or odds of 11:1 against)
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Mike Smith
