## What Colour is your Hat?

A professor wished to figure out who was the smartest of his graduate students. He brought them into his office, blindfolded them, covered all the mirrors in the room, and sat them in chairs facing one another. He told them that he would put either a yellow or a green hat on their heads, but then placed, on all three students, a small green hat (representing Creativity from De Bono's Six Thinking Hat Colors) and no yellow ones! He then told them to remove their blindfolds and to look at one another, but not their own heads. He asked "raise your hand if you see a green hat" to
which all three raised a hand. Next, he said "stand up if you know the color of the hat on your head." After a lengthy pause, only one student stood up and correctly stated the color of all three hats was green. How was this known? Outline your logic.

This one took me about 15 minutes to figure out using a lot of "outside the box" thinking.
 because he could see two students hats, they both raised their hands so he knew his hat was green, there for all three hats were green.
 Not exactly. Think about it, if only two hats were green, then all three would STILL raise their hands. There are three people, person A, person B, and person C. Person A and Person B are both wearing green hats, while person C is wearing a yellow one. Person A would raise his hand seeing Person B's hat, person B would raise his hand seeing person A's hat. Finally person C would see both person A and person B's hat. One hint, the fact that all three are very intellegent is important to the answer. No one will be able to answer this one :)

## What Colour is your Hat?

Gosh I'm so tempted to post the answer, but light bulb, you ARE on the right track.
 all you have to do is look at what direction 2 of the students are looking when they raise their hands so you don't raise your hand until you stand up which confused the other two students because they didn't know why you weren't raising you hand. or two of the student raised their hand when looking in only one direction while the student who stood up looked in both directions before raising his hand and standing up.
 Because this information is not presented in the question, the direction in which they looked is negligible in this situation.
 saw his reflection somewhere? took the hat off and looked at it?