Dice acts using sex dice. Dice may have numbers that do not form a counting sequence starting at one. One variation on the standard die is known as the "average" die. These are six-sided dice with sides numbered codice_3, which have the same arithmetic mean as a standard die (3.5 for a single die, 7 for a pair of dice), but have a narrower range of possible values (2 through 5 for one, 4 through 10 for a pair). They are used in some table-top wargames, where a narrower range of numbers is required. Other numbered variations include Sicherman dice and
Nontransitive dice in favor of the second player, because the second player can always find a die that will beat the first player's die with probability . The following tables show all possible outcomes for all 3 pairs of dice. Though the three nontransitive dice A, B, C (first set of dice) P(A > B) = P(B > C) = P(C > A) = and the three nontransitive dice A′, B′, C′ (second set of dice) P(A′ > B′) = P(B′ > C′) = P(C′ > A′) = win against each other with equal probability they are not equivalent. While the first