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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: ( Back to comment list | You must be logged in to post comments.)
answer | Comment 10 of 12 |
Bob is wearing a red colored hat.
  Posted by K Sengupta on 2008-02-14 14:53:56
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