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 of . Efron's dice are a set of four nontransitive dice invented by Bradley Efron. The four dice A, B, C, D have the following numbers on their six faces: Each die is beaten by the previous die in the list, with a probability of : B's value is constant; A beats it on rolls because four of its six faces are higher. Similarly, B beats C with a probability because only two of C's faces are higher. P(C>D) can be calculated by summing conditional probabilities for two events: The total probability of win for C is therefore With a