Three fair, six-sided dice are numbered as follows:
A: 1, 1, 1, 2, 2, 2
B: 3, 3, 4, 4, 5, 5
C: 6, 7, 7, 8, 8, 8
The three dice are rolled once. What is the probability that the sum obtained is an odd number?
This problem is taken from the World Mathematics Championships