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Home > Logic > Liars and Knights
Bob's Hat (Posted on 2002-06-13) Difficulty: 4 of 5
Three friends, Alan, Bob and Cecil, sit down at a park bench. Each of them is a Knight or Liar and each knows what the other two are.

Forgetful Bob, well known for his flamboyant hats that are either red, white or blue, asks Alan: "What colour hat am I wearing today?"

Alan replies: "There is a chance Cecil would tell you it's blue. If you saw it, there is a chance you would say it is white."

Bob sighs, "I should have asked Cecil - he always tells me the truth..."

What colour hat is Bob wearing?

See The Solution Submitted by Nick Reed    
Rating: 3.6667 (15 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsPuzzle ThoughtsK Sengupta2023-03-19 08:37:56
SolutionBob's hatMath Man2013-05-01 14:03:11
answerK Sengupta2008-02-14 14:53:56
AnswerPraneeth2007-08-29 03:02:42
SolutionlolGoldwing2005-10-18 15:45:34
Solutionthere's a chance that this solution is righttanx2005-10-18 14:02:51
No SubjectTerence2005-10-13 15:27:03
Some ThoughtsNo SubjectRex2005-02-15 14:21:47
gotta be...nate2004-12-04 21:44:27
Answerbrian2003-03-18 00:48:45
A late answerHazirah2002-08-03 23:59:28
SolutionAnswerHappy2002-06-13 13:11:08
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