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?

Bob's hat must be Red

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."

if Bob and Cecil tell the truth then there is only one answer they may give but if they are liars then there is a *chance* that they may say one of the other colors.

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

that's okay because Bob is a liar

Posted by tanx on 2005-10-18 14:02:51