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?
Say that A and F arnt there and that there are two of each colour. and soo
D would know because, D would say that he has got a black hat beceuse he knows that E behind can see two hats and so if D's was black E would call out. but because E didn't, then he would that E can see two differnt colour hats so doesn't know which his is... but D would. so D would call out that he has a white hat on.
i dont know if the same kind of ruel apples to this but i hope it helps
my brain is addeld so cant work out if it still works :-(