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?

I'll check the solution after I post this ^_^

To my understanding, if Bob is a Knight, then so is Cecil. Alan would be lying. Then the hat would be red.

If Bob is Liar, then so is Cecil. Alan is telling the truth. The hat then is neither blue or white because both Bob and Cecil are lying about it, so the hat is red.

Just guessing though.

Posted by Hazirah on 2002-08-03 23:59:28