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View Full Version : probability that at least one player has a particular hand.


waltham
03-02-2006, 10:24 PM
Based on a 7 card hand (as in hold 'em) there are specific probabilities of one player hitting each type of hand:
One pair= 43.8%, two pair 23.5% etc. I'm wondering how you extend this to figure out the percentage of at least one player at a table having a particular hand.

For instance: If I have a 4.62% chance of having a straight, what is the probability that at least one player at a table of 4 has a straight, what is the probability if there are 8 players at the table, etc.
Obviously, you don't just add the percentages together, or you eventually get to over 100%

I'm interested in what the math is behind this, or if it is just listed somewhere, I'd be interested in finding that as well.
Thanks for your time.