6) 3 POWs are taken into a dark room with three chairs. The 3 chairs are lined up all facing forward (i.e. the back chair is facing the first 2 chairs, the middle chair is facing the 1st chair, the first chair is facing the wall). The men are seated and all are shown 3 white hats and 2 black hats. Each man has a random hat place on top of his head. He cannot see his own hat, but can see the color of the hats that are in front of him (the back seat can see the two front seat hats, the middle seat can see the front hat, the front seat can see nothing). Men can never take off the hats to look at them, but whoever guesses the color of their hat, can leave the POW camp. The other two will be killed. You only get one guess, and if you are wrong you are shot. AFTER AN EXTREMELY LONG TIME, one of the POWs gets up, names his hat color and walks out of the camp. Which POW according to chair placement figured it out, and what was his color?
OK not sure about this, but it seems conditional:
If 1 and 2 are black, 3 knows his is white, he leaves.
If 1 is black, 2 should realize he is white after 3 doesn't immediately leave.
If 1 is white, both 2 and 3 will hesitate...so 1 would know he's white?
I'm shaky on the last one.