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.
Problem and solution
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.
Problem and solution
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