Chance of Knowing Color of Hat


Here is the given situation! 

Well, there are 2 possibilities of answer depending on what combination of hats Man 2 & Man 3 are wearing. One thing is sure Man 4 has least chance for getting what he is wearing. His crime must be the most serious one!

Case 1 : If Man 2 & Man 3 wearing same color of hat.

In this case, Man 1 would immediately come to know that he is wearing opposite color of hat & would shout out. In simple words, if Man 2 & Man 3 wearing WHITE (or BLACK) hats, then Man 1 & Man 4 must be wearing BLACK (or WHITE) hats. Since there is no chance for Man 4 to see Man 2 & Man 3 but Man 1 could see Man 2 & Man 3, he must be first to know color of hat he is wearing.


Case 2 : If Man 2 & Man 3 wearing hats of different color.

Now here Man 2 has to be very intelligent (like the reader as he has chosen to read this further). In this case, there is no way for Man 1 to come at any conclusion as there might be WHITE or BLACK hat on his head. After waiting for a while Man 2 has to apply some logic & should think this in his mind.

'Since Man 1 is not shouting he must be unsure with color of his hat. He would be sure only in case if I & Man 3 wearing same color of hats. Since he is unsure; the color of my hat must be opposite of Man 3's hat.' 

Now the judge if he is honest would put criminal with least serious crime at number 1 (or  & 2) same color (or different) hats on Man 2 & Man 3.  


These Men Have Great Chance of Knowing Color of Hat


 
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