4 PRISONER HAT RIDDLE :
There are four prisoners one in front of the other. All the 4 prisoners will be freed if at least one of them correctly guesses the color of the hat he wears. but prisoners can’t speak to each other, they can’t touch each other and they can’t look back.
Number 1 sees number 2 and 3’s hats.
Number 2 sees number 3’s hat.
Number 3 sees only the wall.
Number 4 sees only the wall.
There are no mirrors and all the prisoners know that there are 2 black hats and 2 white hats and that there are four people.
One of the prisoners says “I know the color of my hat” and solves the riddle . Which prisoner is that?
The placement of the prisoners in the room is as the following:
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The answer to the “4 prisoner hat riddle” is Prisoner 2.
4 PRISONER HAT RIDDLE EXPLANATION :
Each one of the prisoners knows that there are 4 hats, 2 black and 2 white.
If prisoner 1 observes that prisoners 2 and prisoners 3 have the same coloured hats, he would assume that he has the opposite colour and solve the riddle.
However, since prisoners 2 and prisoners 3 have different coloured hats, prisoner 1 doesn’t say anything.
Prisoner 2 sees that he and prisoner 3 have different hats and realises that prisoner 1 doesn’t know the answer. And since he sees that prisoner 3 has a white hat, he realises that his own hat is black.