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.
(In reply to re: Solution
Ok, you are right.
When I play with my friends, we declare a tie if the highest card is in the comunity.
Under the rules you give (and which I now believe are the ones
generally accepted) mi solution is not valid because there are multiple
hands that beat some players.
Posted by ajosin
on 2005-04-11 19:25:26