06 Oct '06 12:38>4 edits
Here's the situation:
Four men are tied to chairs in this configuration: (the arrows denote which way the men are facing.)
Man ---) Man ---) Man ---) (Wall) (--- Man
These are the instructions the men have been given:
1. Each of you is wearing a hat. Two of you are wearing a blue hat, two of you are wearing a red hat.
2. In order to save yourselves, one of you must correctly identify the color of your own hat.
3. You are not allowed to tell anyone else what color their hat is.
4. You have 10 minutes for one of you to positively identify the color of his own hat. After 10 minutes, or after a wrong guess, a bomb will go off. The bomb will also go off if anyone cheats.
Because of the manner in which they are tied, none of the men can see what's behind them; they can only see forward. The lone man on the one side of the wall, obviously, cannot see any of the other men. Also, none of the men can take off their hat to identify it. Obviously, any of the 4 of them can take a guess and have a 50% chance of being right. But how can one of them deduce, with 100% certainty, the color of his own hat, given the rules laid out?
Four men are tied to chairs in this configuration: (the arrows denote which way the men are facing.)
Man ---) Man ---) Man ---) (Wall) (--- Man
These are the instructions the men have been given:
1. Each of you is wearing a hat. Two of you are wearing a blue hat, two of you are wearing a red hat.
2. In order to save yourselves, one of you must correctly identify the color of your own hat.
3. You are not allowed to tell anyone else what color their hat is.
4. You have 10 minutes for one of you to positively identify the color of his own hat. After 10 minutes, or after a wrong guess, a bomb will go off. The bomb will also go off if anyone cheats.
Because of the manner in which they are tied, none of the men can see what's behind them; they can only see forward. The lone man on the one side of the wall, obviously, cannot see any of the other men. Also, none of the men can take off their hat to identify it. Obviously, any of the 4 of them can take a guess and have a 50% chance of being right. But how can one of them deduce, with 100% certainty, the color of his own hat, given the rules laid out?