How about this solution which works 100 percent of the time? I don't see why this isn't a solution.
Say the three people are A B and C. The three of them agree ahead of time to this method.
A will say the color on B's head.
B will say the color on C's head.
C will say the color on A's head.
If you break this out to all possible permutations you get the followin results:
ABC = Result
BBB = They all are right
BBR = A is right
BRB = C is right
BRR = B is right
RBB = B is right
RBR = C is right
RRB = A is right
RRR = They all are right
Slashdot Mirror
I did just before I read you message. You are right. I do think it is an interesting solution to the wrong problem.
How about this solution which works 100 percent of the time? I don't see why this isn't a solution.
Say the three people are A B and C. The three of them agree ahead of time to this method.
A will say the color on B's head.
B will say the color on C's head.
C will say the color on A's head.
If you break this out to all possible permutations you get the followin results:
ABC = Result
BBB = They all are right
BBR = A is right
BRB = C is right
BRR = B is right
RBB = B is right
RBR = C is right
RRB = A is right
RRR = They all are right