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A Dicey Paradox

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Strange Dice

Age 11 to 14 Short Challenge Level:

An unusual die has its six faces labelled 1, 2, 3, 5, 7, 9.

If two such dice are rolled, and the numbers rolled added together, then how many different sums are possible?

Can you say which sums are most likely?


This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.