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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution (Second Try!) | Comment 11 of 31 |
How about this,

Comunity; A clubs, A hearts, K clubs ,K hearts, 7 spades.

Player 1; A spades, 4 diamonds.

Player 2; A diamonds, 4 spades.

Player 3; K diamonds, K spades.

From player 1 and player 2's perspecitve the only hand that can beat him is player 3's hand ; The unique hand K diamonds, K spades.

From player 3's perspecitve only a poker in aces can beat him; the unique hand A spades, A diamonds.

  Posted by ajosin on 2005-04-11 19:45:06
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