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
Miwin's dice / 9² = 1 / 81. Two dice are rolled, chosen at random, one at a time. The pair is scored according to the following rules: This variant provides numbers from 0 – 80 with a probability of 1 / 9² = 1 / 81. Two dice are rolled, chosen at random, one at a time. The score is obtained according to the following rules: Examples: Miwin's dice Miwin's Dice are a set of nontransitive dice invented in 1975 by the physicist Michael Winkelmann. They consist of three different dice with faces bearing numbers from 1 to 9; opposite faces