Friday, August 15, 2008

Hat Riddle II

It's nearly New Years and there are 3 guys in jail serving out their sentences. Our Jail Master, let's call him JM Dave (:P), has decided to be nice to these prisoners and give them a chance to be set free, because after all, it IS New Years soon.

JM Dave tells them that if they can solve this riddle, they will all be set free. However if not, they will serve the remainder of their sentence in jail.

JM Dave takes out 5 hats.
3 Hats are white.
2 Hats are black.

He gets behind the 3 prisoners and then puts a hat on each of their heads and hides the other 2 hats. The prisoners are then situated so that they can all see each other but they can't see their own hat like shown:

JM Dave then says "if any of you can guess the color of your own hat correctly, you'll be set free. If not then you will have to serve out the remainder of your sentence."

JM Dave goes to person A and asks "Can you tell me the color of your own hat correctly?"
Person A looks at B and looks at C and then says "No."
JM Dave says "That's unfortunate, you're going to have to serve the remainder of your sentence here."

JM Dave goes to B and asks the same question.
Person B looks at person A and person C and says "No. I can't tell the color of my own hat."
JM Dave then says "That is unfortunate. It seems like all three of you will have to serve out your remaining sentences."

Person C interrupts and exclaims "Wait! You didn't even ask me yet!"
JM Dave responds "Well, that is because you are totally blind so there was no point in asking you."
Person C states "I may be blind, but I know the color of my own hat FOR SURE."

What color is Person C's hat and how does he know for sure?

1 comment:

  1. A looks at both B's and C's hats. if A doesn't know the color of his hat, B and C must both have both white or one white and one black. B now knows this and looks at C. if C has a black hat, B must have a white hat and will be able to answer the warden. because B can't answer, C knows he must have a white hat.

    ReplyDelete