Notes

Casino Games- Gambling Is an exercise for your Mind
Blaise Pascal's 17th century French mathematician proved that gambling may not be an end in itself but rather an instrument. It is a great exercise for mind, as the case of Pascal and another French mathematician, Fermat who came up with calculations, which we now call theory of probabilities.

"Theory of probabilities was created in the time Pascal and Fermat began playing gambling games" said one of their contemporaries.


The two scientists made summaries on theory of probabilities by correspondence. The material relevant to their work was collected during their leisure visits to the gambling house. Pascal's treatise was the result of this correspondence. video games is a "completely new composition about accidental combinations that govern the gambling game".

In his work Pascal almost completely casts out the phantoms of luck and chance that are a part of gambling games, substituting them with cold statistic calculations built on the arithmetic head. It is difficult to imagine what riot the invention caused among gamblers. While we may view the theory of probabilities as trivial, only experts are knowledgeable about its basic concepts. But, anyone can understand its basic principle. In the days of the French mathematicians, the minds of all gamblers were consumed by such concepts as "divine intention", "lap of Fortune" and other notions that only increased the fervor of the game, adding additional mystical tones on the games. Pascal is unafraid to oppose his argument against such a stance to the game "Fluctuations of luck and happiness are subordinate to the considerations of fairness and which aim irrevocably to pay every player the amount owed to him".

Pascal invented mathematics as an incredible art of anticipating. It's even more remarkable that, unlike Galileo who conducted a myriad of tedious experiments using multiple throwing dice and took long to do so and the French scientist did not spend a lot of time on the gruelling tasks. According to Pascal, the distinctive feature of of mathematical consideration in comparison to the common statistics is that it gets its conclusions not through research but instead is based on "mind foreseeing", i.e. on intellectual definitions. This is why "preciseness of mathematics is combined with uncertainty of chance. This ambiguity is what gives our method the odd title: "mathematics based on chance". Pascal's invention was then followed by "method of mathematical anticipation".

Pascal wrote that stoked money was no longer the property of gamers. games to play on pc can lose nths of their money and still gain something, even if the majority of players aren't aware of it. visit url is something virtual. It is not something you can touch or put it in your pocket. The gambler must have some intellectual ability. This is the gained "right to anticipate a regular return that a chance could give according to the initial terms stakes".

It may not be so encouraging, however. The dryness of this formulation is averted if you pay attention to the word combination "regular gains". The expectation of gaining is logical and sensible. Another matter is that someone who is more attractive will be more likely to be aware of "chance" or "can give". But, it could also be the case that they're not right.

The French scientist applies his mathematical expectation method to calculate the exact value of "right to gain" in accordance with the various terms used in the beginning. This is why a totally new definition of right is revealed in maths that differs from the equivalent definitions found in ethics or law.

"Pascal's Triangle" or where the theory fails to accurately predict probabilities.
Pascal summed up the findings of these experiments by forming the arithmetic triangle, which is composed of numbers. If you can use it, you will be able to precisely foresee probability of different gains.

For common people "Pascal's triangle" appeared more like the magical tables used by kabbalists or as a mystic 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 forecast world catastrophes as well as other natural disasters. Uneducated gamblers felt almost religious when they saw the theory of probabilities presented in graphs and tables, and furthermore proved by actual games.

While the theory of probabilities must be considered along with the definition of it, it's important not to mix them. "Pascal's Triangle" is not able to forecast the outcome of a particular transaction. The blindness of fate is the rule in these matters and Pascal never debated the subject. Theory of probabilities becomes useful and is applicable only when it is in connection with the lengthy sequence of probabilities. In this scenario numbers, probabilities, series and progressions, constant and known in advance , could influence the decisions of a skilled gambler in favor of the stake (card lead, card, etc.)

The invention of Pascal is even more amazing when you think about the fact that the famous triangle was discovered by the name of a Muslim mathematician from certain religious orders centuries ago. It's absolutely true that European Pascal was unable to obtain this knowledge from any other source.

All of this confirms that mathematical patterns in any process are the same regardless of time and space and the whims of so called Fortune. This fact was discovered by Pythagoreans philosophers who clearly and emotionally felt the phenomenon at the time.

From one to thirty-five.
Pascal was more frequently faced by similar issues in relation to the game which caused controversy in French gambling houses and aristocratic mansions at that time. Among them there was an issue that was suggested to young Blaise by one of his aristocratic acquaintances.

The problem was related to dice. It was hoped to figure out the number of throws that are theoretically required to ensure that the chances to win (two sixs) outweigh the odds of the other outcomes when all taken into consideration. fun games to play isn't as difficult as you imagine. It's not difficult to realize that there are just 36 possible combinations of numbers that can be made in the game of two bones. Only one of them gives double six. Following this explanation, it's obvious to anyone who is able to see that with one-time throw there is only one chance to thirty-five times the chance to win.

The outcome of these easy calculations could sway numerous dice fans However, on the other hand, the rapture of those who are lucky enough to throw double six is staggering. Because they know the exact devil number of odds that will thwart their luck!



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