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?
He knows his hat color, plus the colors of those in front of him. Therefore he knows that A and B must be black and white, and if he is a sentient being, he noticed the BWBW pattern, and can infer that b-->white and a-->black.
Or am I missing something?
Posted by erin
on 2006-06-17 18:29:34