Miwin's dice its 2 lowest numbers. The dots on each die are colored blue, red or black. Each die has the following numbers: Numbers 1 and 9, 2 and 7, and 3 and 8 are on opposite sides on all three dice. Additional numbers are 5 and 6 on die III, 4 and 5 on die IV, and 4 and 6 on die V. The dice are designed in such a way that, for every die, another will usually win against it. The probability that a given die in the sequence (III, IV, V, III) will roll a higher number than the
Nontransitive dice 35:34. The miwin’s dodecahedra (set 2) win cyclically against each other in a ratio of 71:67. Set 1: Set 2: It is also possible to construct sets of nontransitive dodecahedra such that there are no repeated numbers and all numbers are primes. Miwin’s nontransitive prime-numbered dodecahedra win cyclically against each other in a ratio of 35:34. Set 1: The numbers add up to 564. Set 2: The numbers add up to 468. Nontransitive dice 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