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 Black and white hats (Posted on 2006-06-15)
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)

 Subject Author Date solution pragya gupta 2006-10-02 08:28:27 re: Better solution with E DrBob 2006-09-02 14:43:53 re: No Subject john 2006-07-10 09:46:12 No Subject raza 2006-07-10 04:52:38 Is the opaque wall reflective? MJ 2006-07-09 20:50:06 re: Better solution with E RA 2006-07-09 09:06:22 Solution RA 2006-07-09 09:05:05 Better solution with E john 2006-07-08 18:19:46 Solution with Explanation Yosippavar 2006-06-22 12:24:22 Solution.. Partha 2006-06-20 02:12:02 It is not logical to silently wait forever ! Steve Hart 2006-06-19 03:40:01 re: the problem Sir Percivale 2006-06-18 20:41:14 the problem Charlie 2006-06-18 13:29:50 it will be DDDDDDDDDDDDDD chandan 2006-06-18 04:12:46 Hopefully F is..... Lil mz naughty 2006-06-17 21:05:23 Could it be... erin 2006-06-17 18:29:34 oo i know this one!!! but only for 4 people :-( Genesis Rowley 2006-06-16 17:56:10 Leming is correct! Clinton Heath 2006-06-15 15:09:48 No reason Old Original Oskar! 2006-06-15 12:47:00 Is it logical to stand and face a wall? Solution Leming 2006-06-15 12:46:50

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