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 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