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Non-transitive Dice (Rock, Paper, Scissors Dice)

The following nontransitive dice have only a few differences compared to 1 through 6 standard dice:

- as with standard dice, the total number of pips is always 21
- as with standard dice, the sides only carry pip numbers between 1 and 6
- faces with the same number of pips occur a maximum of twice per die
- only two sides on each die have numbers different from standard dice:

(Red, Warrior) A: 1, 1, 3, 5, 5, 6
(Green, Ranger) B: 2, 3, 3, 4, 4, 5
(Blue, Mage) C: 1, 2, 2, 4, 6, 6

Like Miwin’s set, the probability of A winning versus B (or B vs. C, C vs. A) is 17/36. The probability of a draw, however, is 4/36, so that only 15 out of 36 rolls lose. So the overall winning expectation is higher.