# The Hat

The Hat

My friend was born in the U.S. He is currently a second year at USC.

The riddle goes like this:

Q: There are three people who were abducted by an alien. They are each blindfolded and put in a straight line. They are told that there are two black hats and a white hat. Each one of the abducted people is wearing either a white hat or a black hat. The last person in line can see both people’s heads in front of him, the second person can only see the first person’s head, and the first person can’t see anything. The alien then says that if they can guess the correct color of the hats, then they will be let free. Who speaks up and what answer would he give?

A: The person standing last in line would speak up only if he sees that the hats in front of him are the same color. If the colors were opposites then person in the middle would speak up. The middle guy would know that the person behind him is quiet because the hats in front of him are two different colors. By this deduction, the man in the middle knows that whichever color hat he is wearing is the opposite of the hat color he sees in front of him, and the same as the color of the hat color behind him.

The Analysis:

Me: Where did you hear this riddle?

J: My friend, Daniel Chun.

Me: When did you hear it?

J: I heard it about a month and a half ago. After sophomore accountability, we were just chilling in another friend’s room.

Me: Do you guys do this often?

J: Oh yeah, we just chill, share stories, talk, and stuff.

It should be noted that there was a similar riddle to this one about hats and prisoners but without aliens.