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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: ( You must be logged in to post comments.)
  Subject Author Date
Quibble ...JayDeeKay2009-07-08 17:24:53
Some Thoughtsre: Another solutiontomarken2006-03-15 14:23:03
SolutionAnother solutiontomarken2006-03-15 14:14:50
No Subjecthookedonphonics2005-10-08 20:41:24
I joined this web-site to rank on this questionVincent2005-06-14 19:59:39
On the official solutionTristan2005-06-02 00:14:40
solutionlizperp2005-05-13 20:06:08
No Subjectnoel thompson2005-04-23 16:22:49
Some Thoughtsre: solution maybeJason2005-04-21 06:02:22
Hints/Tipsre(2): solution maybeAdam Champken2005-04-20 16:02:36
re: solution maybeKardo2005-04-19 17:05:30
Solutionsolution maybeJason2005-04-19 09:55:32
re: Limits on possible solutionsTristan2005-04-14 21:53:45
Limits on possible solutionsTristan2005-04-13 00:04:20
re(4): Solution (Second Try!) w/ my solutionajosin2005-04-12 19:04:42
re(3): Solution (Second Try!) w/ my solutionDustin2005-04-12 17:02:48
re(2): Solution (Second Try!) w/ my solutionajosin2005-04-12 15:21:48
Solutionre: Solution (Second Try!) w/ my solutionKardo2005-04-12 12:16:18
re: No SubjectDavid Shin2005-04-12 04:25:11
No SubjectCory Taylor2005-04-11 21:21:06
SolutionSolution (Second Try!)ajosin2005-04-11 19:45:06
re(2): Solutionajosin2005-04-11 19:25:26
Hints/TipsCommentsDavid Shin2005-04-11 18:31:22
re: SolutionGus2005-04-11 16:59:20
re: SolutionDustin2005-04-11 16:58:17
SolutionWhat about this?Gus2005-04-11 16:49:54
re: Better idea--solution?ajosin2005-04-11 15:42:53
SolutionSolutionajosin2005-04-11 15:38:41
SolutionBetter idea--solution?Charlie2005-04-11 15:27:10
Some Thoughtsprobably not quite it.Charlie2005-04-11 15:19:24
I forgetBryan2005-04-11 15:15:06
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