[quote name='kingocraplantis']Alright, something a little harder is in order, then?
You are sitting on the floor staring straight ahead. Behind you, also seated, and facing in the same direction as you, are the 2 smartest people in the world. The person behind you can see the back of your head, the 3rd person can see both you and the 2nd person, you can see only the wall in front of you. A host enters with 5 hats, 2 red and 3 black. While all of the 3 participants' eyes are closed, the host will place 1 hat on each of your heads and hide the remaining 2 hats. Then everyone may open their eyes again. As soon as a person knows what color hat they are wearing, they are to call it out. Several moments have passed and no one has said anything. You correctly call out the color of the hat on your head. What is it?[/QUOTE]It's black. Since the 3rd person hasn't said anything, you know that you and the second person aren't both wearing red, because then he'd know he had black. That means it's either 1. you and the 2nd person both wearing black, 2. you in black and the second person in red, or 3. you in red and the second person in black.
The second person has logically deduced all of this, but has also remained silent. If he saw a red hat on you, he'd know it was scenario #3, and that he had black. If he sees black on you, he can't be sure, since it could be either scenario 1 or 2 from above. His silence indicates that you're wearing black.