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.

Each knows the location of the others and the quantity of each colour of hat. Who will be first to declare having which colour?

If the opaque wall is reflective then C would be the first person to declare the correct hat color they are wearing.

Posted by MJ on 2006-07-09 20:50:06