Nontransitive Dice

Nontransitive Dice

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Medium:  Paradox
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Release Message:  You can have three dice, called A, B, and C, such that A is likely to win in a roll against B, B is likely to win in a roll against C, and C is likely to win in a roll against A.
Description:  A set of dice is nontransitive if it contains three dice, A, B, and C, with the property that A rolls higher than B more than half the time, and B rolls higher than C more than half the time, but it's not true that A rolls higher than C more than half the time. In other words, a set of dice is nontransitive if its "rolls a higher number than more than half the time" relation is not transitive.