Miwin's dice that does not begin with 1 or 0, simply add a constant value to bring it into that range (to obtain random numbers between 8 and 16, inclusive, follow the 1 – 9 instructions below, and add 7 to the result of each roll). Governing probability: P(0) = P(1) = ... = P(90) = 8/9³ = 8/729 To obtain an equal distribution with numbers from 0 – 90, all three dice are rolled, one at a time, in a random order. The result is calculated based on the following rules: Sample: This gives 91 numbers, from 0 – 90 with
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