The Mathematical Theory behind Gambling Games

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Despite the popularity of the game of dice amongst the majority in many nations over thousands of years, there interestingly have never been any statistical correlations or probability theory that has been woven into the game. At least there is no proof to the same available to modern historians of the game. Richard de Furnival, the French humanist of the 13th century was said to be the author of a Latin poem, which contains the first known calculations in the game of dice. Much earlier in the year 960 Willbord the Pious is said to have invented a game that represents the 56 virtues. The player of the game which was more religious was to improve in those virtues, according to the way dice turned. Neither of these scientists is known to have tried to define the relative probabilities of the various combinations possible.

Renowned Italian mathematician, astrologist and physicist Jerolamo Cardano is considered to be the first to conduct the mathematical analysis of dice in 1526. He even used to counsel his pupils on how to make bets on the basis of the theory of probability. Galileus and Pascal both renewed the research on this matter at the behest of players who had lots at stake. Galileus' calculations were exactly as per modern theories of mathematics and thus the science of probabilities developed. However it was Christiaan Huygens who gave it a huge impetus in the 17th century in his manuscript "De Ratiociniis in Ludo Aleae".

Prior to the renaissance, the majority of the people believed that most events were pre–determined by God's will or other super natural forces. Many still believe in this thought process even today. The mathematical theories however supported a very different cause and said that some events could be casual in nature with no specific purpose. Mathematician M.G.Candell remarked after his studies that mankind needed some centuries to get used to the idea that there are some events that do occurwithout a reason or are defined by a reason hat is so remote that they could be predicted with the help of a causeless model. This idea of purely casual activity is the base on which the concept of interrelation between accidents and probability rests.

In gaming however, it is believed that equally probable events have equal odds to happen in every case. Every event is completely independent especially in random games; in other words, every casino game has the same chances of obtaining a certain result as all others. Probabilistic statements in practice apply to a rather long succession of events and not to an event in particular; however the greater the number of iterations, the lesser is the absolute number of results of the certain type that deviates from the expected one. One can only precisely predict correlations, and not separate events or amounts. These theories aside, it is best to enjoy a casino game or a game of poker without worrying about the probability of winning or losing!