Notes

Casino Games- Gambling Is an exercise for your Mind
play games of Blaise Pascal, the renowned French mathematician of the 17th century, proves that gambling is not so much a purpose as it could be a means. It can be an excellent exercise for the mind, such as the case of Pascal as well as another French mathematician named Fermat who came up with calculationsthat are which we now call the theory of probabilities.


"Theory of probabilities was invented by Pascal and Fermat began playing gambling games" according to one of their contemporaries.

Two scientists conducted summaries on the theory of probabilities through correspondence. The relevant information was gathered during their visits to the gambling house during their leisure time. The correspondence later led to Pascal's treatise "completely novel composition of accidental combinations which govern the gambling games".

In his work, Pascal nearly completely eliminates phantoms of luck and chance from gambling games, replacing them with cold statistics that are based on the arithmetic brain. It is difficult to imagine the fury the invention caused among gamblers. While we may view the theory of probabilities as a mere concept, only experts are knowledgeable about its basic concepts. But, anyone can grasp its basic principles. But in the times of the French mathematician, the minds of all gamblers were consumed with such notions as "divine intention", "lap of Fortune" and other things that only increased the fervor of the game, adding additional mysterious tones in the game. Pascal strongly opposes this attitude toward the game. "Fluctuations in happiness and luck are subordinated to considerations that are based on fairness and aim to pay every player the amount he owes him."

Pascal invented mathematics as an incredible art of anticipating. It's more than remarkable that, unlike Galileo and his colleagues, the French scientist didn't conduct many exhausting experiments with multiple throwing dice that tool for a lot of time. Pascal's view is that the distinctive feature of of mathematical analysis compared to common statistics is that it derives its results not from the research but instead is based on "mind anticipating", i.e. on intellectual definitions. This is the reason "preciseness in mathematics" can be used in conjunction with uncertainty of chance. Our method borrows its awkward name - "mathematics of chance" because of this confusion". Another interesting name came from Pascal's idea - "method of mathematical expectation".

Money that was smuggled, said Pascal and Pascal, is no longer belonging to gamester. It is possible for players to lose nths their money and still gain something, even if the majority of gamblers don't realize it. It is an absolute virtual thing, you can't touch it nor put into your pockets and observe it, the gambler must have a certain amount of intellectual capacity. We are talking about the acquired "right to be able to count on a regular profit that a chance could give depending on the initial conditions - stakes".

It might not be as inspiring, but. read this article of this formulation is negated if you pay close attention to the phrase "regular gains". The expectations of profit are justifiable and sensible. Another thing to consider is that a person who is more passionate will pay his focus to the words "chance" and "can offer" (and therefore, it could also be the opposite).

Using his method of "mathematical expectation" which is a mathematical expectation, the French scientist meticulously calculates the values of "right for gain" based on various initial definitions. Mathematical provides a brand new definition of right that differs from those that are used in ethics and law.

"Pascal's Triangle" or where theory is unable to determine the probabilities.
Pascal has summarized the results of these tests with the help of the "arithmetic triangle" comprised of numbers. If you can apply it, you can accurately predict the likelihood of various gains.

For the common man "Pascal's triangle" looked more like magic tables for kabbalists, or a mythical Buddhist mandala. The 17th century's illiterate population didn't understand the idea. This led to the belief that "Pascal’s triangle" could have been used to predict world disasters and other natural catastrophes. Indeed presentations of theory of probabilities as diagrams or graphs and, more importantly, proved by the game itself created almost religious feelings among gamblers who were not educated.

Although we shouldn't mix theory of probabilities with what it's not by its definition. "Pascal's triangle" fails to foresee the future outcome in a particular case. The blindness of fate is the rule in these matters- and Pascal did not even debate the subject. find this of probabilities is only relevant when it comes to long-term sequences of chance. In this case the probability or series and the progressions that are consistent and known in advance can be used to influence the decision of a knowledgeable gambler in relation to the stake (card lead, card.).

Pascal's invention is more remarkable when you be aware that the famous triangle was popular with Muslim mathematicians of specific religious orders a few centuries back. It's absolutely true that European Pascal could not obtain the information from any source.

All this once again shows that mathematical patterns of every process are identical regardless of time and space and whims of the so-called Fortune. Awareness of this fact enraptured by Pythagoreans philosophers, who had a profound and emotionally felt it at that time.

From one to thirty-five.
Pascal was often confronted with similar problems related to the game that led to controversy in casinos in France and mansions of the aristocracy at the time. Aristocratic acquaintances suggested a problem to Blaise.

The problem was related to dice. It was hoped to figure out the amount of throws are theoretically required to ensure that the chances to win (two sixs) are greater than the probabilities of all other outcomes all taken into consideration. All this is not so complicated as one might think. It's easy to see that there are only 36 combinations of numbers that can be made in the game of two bones. And only one combination gives double six. Following this explanation, it's obvious to anyone who is able to see that with a throw of one time there is only one chance to thirty-five to win.

The results of these simple calculations can cast down numerous dice fans However, on the other hand, the rapture of those who are lucky enough to throw double six is staggering. Because they are aware of the exact amount of opposite outcomes that opposed their luck!



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