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Odd Dice

Age 14 to 16 Short
Challenge Level

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
You can find more short problems, arranged by curriculum topic, in our short problems collection.