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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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionsolutionpragya gupta2006-10-02 08:28:27
re: Better solution with EDrBob2006-09-02 14:43:53
re: No Subjectjohn2006-07-10 09:46:12
No Subjectraza2006-07-10 04:52:38
Hints/TipsIs the opaque wall reflective?MJ2006-07-09 20:50:06
re: Better solution with ERA2006-07-09 09:06:22
SolutionSolutionRA2006-07-09 09:05:05
Better solution with Ejohn2006-07-08 18:19:46
SolutionSolution with ExplanationYosippavar2006-06-22 12:24:22
Solution..Partha2006-06-20 02:12:02
It is not logical to silently wait forever !Steve Hart2006-06-19 03:40:01
re: the problemSir Percivale2006-06-18 20:41:14
the problemCharlie2006-06-18 13:29:50
it will be DDDDDDDDDDDDDDchandan2006-06-18 04:12:46
Some ThoughtsHopefully F is.....Lil mz naughty2006-06-17 21:05:23
Could it be...erin2006-06-17 18:29:34
Solutionoo i know this one!!! but only for 4 people :-(Genesis Rowley2006-06-16 17:56:10
Leming is correct!Clinton Heath2006-06-15 15:09:48
Some ThoughtsNo reasonOld Original Oskar!2006-06-15 12:47:00
SolutionIs it logical to stand and face a wall? SolutionLeming2006-06-15 12:46:50
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