4 criminals are caught and are to be punished. The Judge allows them to be freed if they can solve a puzzle. If they do not, they will be hung. They agreed.
The 4 criminals are lined up on some steps (shown in picture). They are all facing in the same direction. A wall separates the fourth man from the other three.
So to summarise :-
Man 1 can see men 2 and 3.
Man 2 can see man 3.
Man 3 can see none of the others.
Man 4 can see none of the others.
The criminals are wearing hats. They are told that there are two white hats and two black hats. The men initially don't know what colour hat they are wearing. They are told to shout out the colour of the hat that they are wearing as soon as they know for certain what colour it is.
They are not allowed to turn round or move.
They are not allowed to talk to each other.
They are not allowed to take their hats off.
Who is the first person to shout out and why?
--Jamie
3 comments:
I think Man1 will shout that "Man2 is wearing white and Man 3 is wearing black"
I am stuck how to proceed next ...
any clue ??
Karthikeyan
http://kaaranam1000.blogspot.com
Man2 will shout the exact color of his hat white.
Man 1 sees one white and one black hat. But now, his hat could either be black/white. So, he does not shout the color of his hat.
Man 2 sees only a black hat. Since, Man 1 does not shout his color, Man2 knows that his hat is white. If Man2's hat were black, Man1 would have know his color for sure.
The answer is Either Man 1 or Man 2 would shout first.
If man1 see Man2 and Man3 wearing same color then he would should his hat color. In case Man2 and Man3 wear different colors then obviously Man1 won't shout. Considering this fact Man2 would know that Man1 is not shouting since he is wearing different color of Man3.
Post a Comment