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Black and white hats (Posted on 2006-06-15) Difficulty: 3 of 5
Six logicians stand one behind the other facing an opaque wall such that 2 are on one side and 4 are on the other. None of the logicians can turn around or see beyond the wall.

Each wears a black or white hat as shown below; "|" represents the wall, capital letters are used to identify the logicians, and "b" and "w" refer to black and white respectively.

b   w   |   b   w   b   w 
A   B   |   C   D   E   F 
Each knows the location of the others and the quantity of each colour of hat. Who will be first to declare having which colour?

No Solution Yet Submitted by Sir Percivale    
Rating: 3.8889 (9 votes)

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Solution solution Comment 20 of 20 |

person D will declare that he has white first.

EXPLANATION:-

- D will say- if C, D, E all have  black then F should know that he has white, but F has not answered yet. this means either me(D) or E has white.

if i(D) had black then E would have known that if E had black then F would have answered first. since F has not answered till now, it means that E must have white if i (D)have black. since  E has not answered yet, it means that i(D) have white. hence, E would answer first.


  Posted by pragya gupta on 2006-10-02 08:28:27
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