The principle you are using is correct, but none can leave the room at 13.00.
Quote:
Originally Posted by HomeInMyShoes
But at 12:00, no one leaves the room. That means they know they all saw at least one red hat.
|
I agree. Good thinking.
Quote:
Originally Posted by HomeInMyShoes
But if we look at two people we see that red=4 for both of them, but neither leaves the room.
|
If I understand you correctly, you imply that both these persons know what the other see, i.e. that person A knows that person B sees exactly 4 red hats, and not two, three or four red hats?
None of the persons knows what the others are seeing, they only knows that all the other persons are observing the same tings (the color of the other hats) and draws the same conclusions based on what they see. Person A sees four red hats, but he doesn't know that person B
also sees four red hats. For all A knows, person B may see three red hats, and that the hat of person A is in fact blue
Quote:
Originally Posted by HomeInMyShoes
This is of course all subject to the five persons in the room having any brain. It is probably just a likely to have a room of five dolts that couldn't figure this out and they would all stave to death in the room, or that the world is eaten by a giant space goat prior to them figuring it out.
|
A very good point. I only said that they all thinks the same, but you are totally correct: they must also be intelligent enough to use what they are thinking. If I was in the same situation, I would not have been able to solve the problem