Quote:
Originally Posted by issybird
Is it something along these lines:
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If there were three blue hats, when no one left the room at 12:00, the two people wearing red hats could leave at 13:00 (because the other person wearing a red hat would have figured out he wasn't in blue when I didn't leave an hour earlier).
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But what I don't get is that I don't see any red hats, I don't know what the other people see, only that they would see at least three red hats and at most two blue hats since of the people I look at the others have three people in common. If I'm person 1, I see R{2,3,4,5}, person 2 would have to see R{3,4,5} and I can deduce that they would think B?R?{1,2} since I don't actually know what they saw. That makes the 13:00 departure for anyone impossible for my mind to grasp, but I'm a bit dim sometimes. That's why I think I'm trapped in the room.