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Four-sided dice were among the gambling and divination tools used by early man who carved them from nuts, wood, stone, ivory and bone. [2] Six-sided dice were invented later but four-sided dice continued to be popular in Russia. In Ancient Rome, elongated four-sided dice were called tali while the six-sided cubic dice were tesserae. [3]
For example, rolling 10 six-sided dice should result in about half of the dice being 4 or more. The game designer can then express success as the number of dice with a given value — say 4 or more — allowing the designer to more accurately control the probable outcome of the desired action. [2]
Patterned after the success of collectible card games, a number of collectible dice games have been published. [1] Although most of these collectible dice games are long out-of-print, there is still a small following for many of them. Some collectible dice games include: Battle Dice; Dice Masters; Diceland; Dragon Dice
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Tali were large dice inscribed with one, three, four, and six on four sides. Tesserae were smaller dice with sides numbered from one to six. [12] Twenty-sided dice date back to the 2nd century CE [13] and from Ptolemaic Egypt as early as the 2nd century BCE. [14] Dominoes and playing cards originated in China as developments from dice. [15]
An example of intransitive dice (opposite sides have the same value as those shown). Consider the following set of dice. Die A has sides 2, 2, 4, 4, 9, 9.; Die B has sides 1, 1, 6, 6, 8, 8.
For instance, 4d6−L means a roll of 4 six-sided dice, dropping the lowest result. This application skews the probability curve towards the higher numbers, as a result a roll of 3 can only occur when all four dice come up 1 (probability 1 / 1,296 ), while a roll of 18 results if any three dice are 6 (probability 21 / 1,296 ...
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