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Only One Hand (Posted on 2005-04-11) Difficulty: 2 of 5
In a game of Texas Hold'em, all 5 community cards are dealt, and the three remaining players simultaneously say, "Well, there's only one hand that can beat me."

How can this situation arise? Assume that the players do not lie.

Here, "one hand" means a unique combination of 2 cards, out of the (52 choose 2) = 1326 possible ones.

For those unfamiliar with the basic rules of Texas Hold'em: each player has two face down cards, and there are five face up cards on the table. Each player makes the best possible 5-card poker hand using any of the 5 community cards and his 2 private cards.

See The Solution Submitted by David Shin    
Rating: 4.2857 (7 votes)

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I forget | Comment 1 of 31

Does suit matter in poker?

If so, the five community cards could be a royal flush in hearts, so each player could claim that hand as her own.  The only hand that could beat them is a royal flush in spades, which of course none of the other players could have this round.


  Posted by Bryan on 2005-04-11 15:15:06
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