Etruscan numerals whether the numbers on opposite faces of Etruscan dice add up to seven, like nowadays. Some dice found did not show this proposed pattern. An aspect of the Etruscan numeral system is that some numbers, as in the Roman system, are represented as partial subtractions. So "17" is not written *"semφ-śar" as users of the Arabic numerals might reason. One instead finds "ci-em zaθrum", literally "three from twenty". The numbers 17, 18 and 19 are all written in this way. The general agreement among Etruscologists nowadays is the following (except about which of huθ and śa were "four" or "six",
Nontransitive dice the same average roll. For example, These variant dice are useful, e.g., to introduce students to different ways of comparing random variables (and how only comparing averages may overlook essential details). A set of four dice using all of the numbers 1 through 24 can be made to be nontransitive. With adjacent pairs, one die's probability of winning is 2/3. For rolling high number, B beats A, C beats B, D beats C, A beats D. These dice are basically the same as Efron's dice, as each number of a series of successive numbers on a single die can all