Consider three six-sided dice A, B, and C, with the following numbers on their sides:

A: 2, 2, 4, 4, 9, 9

B: 1, 1, 6, 6, 8, 8

C: 3, 3, 5, 5, 7, 7

What is the probability that:

·     A produces a higher number than B?

·     B produces a higher number than C?

·     C produces a higher number than A?

Can you find another set of face values for A, B, and C that yield the same properties? (Does such a set even exist?)

This brainteaser was written by Derrick Niederman.