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.

First off, the second example to your solution is retarded.  There are only 4 aces in a deck of 52 cards.  You clearly used five.  Second your answer is so convoluted that it clearly proves you have no idea how the game of Hold'em is played.

Lastly, this is a riddle.  The wording of your question would easily lead one to the conclusion that the scenario is the case of what it is the only hand that EVER beat this hand that I am holding now, which is:

The community cards are showing a straight flush to the king, therefore all three of the players state that the only hand that could possibly beat them is a Royal Flush.  Which would need the Ace of the same suit as the straight flush to the King.  And anyone who plays poker knows that a Royal Flush is the only hand that can beat a King High Straight Flush.

Stupid question...re-word it!

Posted by Vincent on 2005-06-14 19:59:39