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Casino

Despite all the obvious popularity of games of dice among the majority of social strata of various nations during several millennia and up to the XVth century, it is interesting to note the absence of any evidence of the idea of statistical correlations and probability theory. The French humanist of the XIIIth century Richard de Furnival was said to be the author of a poem in Latin, one of fragments of which contained the first of known calculations of the number of possible variants at the chuck-and luck (there are 216). Earlier in 960 Willbord the Pious invented a game, which represented 56 virtues. The player of this religious game was to improve in these virtues, according to the ways in which three dice can turn out in this game irrespective of the order (the number of such combinations of three dice is actually 56). However, neither Willbord, nor Furnival ever tried to define relative probabilities of separate combinations.

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It is considered that the Italian mathematician, physicist and astrologist Jerolamo Cardano was the first to conduct in 1526 the mathematical analysis of dice. He applied theoretical argumentation and his own extensive game practice for the creation of his own theory of probability. He counseled pupils how to make bets on the basis of this theory. Galileus renewed the research of dice at the end of the XVIth century. Pascal did the same in 1654. Both did it at the urgent request of hazardous players who were vexed by disappointment and big expenses at dice. Galileus’ calculations were exactly the same as those, which modern mathematics would apply. Thus, science about probabilities at last paved its way. The theory has received the huge development in the middle of the XVIIth century in manuscript of Christiaan Huygens’ «De Ratiociniis in Ludo Aleae» («Reflections Concerning Dice»). Thus the science about probabilities derives its historical origins from base problems of gambling games.