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Black & White Hats 2 (Posted on 2006-07-02) Difficulty: 3 of 5
Continuing the problem from Sir Percivale.

Eight logicians stand one behind the other facing an opaque wall such that 3 are on one side and 5 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; b and w refer to black and white respectively:

w   b   w   |   b   w   b   w   b
A   B   C   |   D   E   F   G   H
Each knows the location of the others and the quantity of each colour of hat. They also know that all hats of same colour are not on the same side. Logician should announce the colour of owned hat once sure.

Considering that all logicians think at the same speed, who will be the first to declare having which colour? How many can come to know the colour of owned hat and in what order?

See The Solution Submitted by Salil    
Rating: 2.8000 (5 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: First to declareDon Cleland2006-07-16 23:21:53
hat problemsamantha2006-07-14 08:29:42
Some Thoughtshat problemscott2006-07-14 00:39:33
re(2): i think i got it.....?trey2006-07-10 00:28:49
re: i think i got it.....?a2006-07-07 05:15:29
i think i got it.....?a2006-07-07 05:09:49
SolutionFirst to declareJyqm2006-07-02 11:34:55
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