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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.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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