The
puzzle of the black and white hats

Four men are lined up
on some steps. 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
men 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.
They are not allowed
to talk to each other.
So
the question is -
Who
is the first person to shout out and why?
Answer
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