Question: The Answer To The Black And White prisoner Hat Puzzle- 4 Criminals riddle
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.
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?
Give a shout-out in the comments below if you have solved the puzzle or not. Thanks for viewing and trying !
Correct Answer: Man 2 will shout out after some time.
Here’s why: Man 3 and 4 cannot see the other hats.
Man 1 sees a white hat and a black hat and knows his hat can be black or white.
Man 2 sees one black hat , but if he is also wearing a black hat, it would be obvious to Man 1 that he is wearing a white hat. Since Man 1 did not shout out, Man 2 concluded that he himself is wearing a white hat.
Ans credits: RedTaurus