Notes

Casino Games- Gambling is an exercise for your Mind
The example of Blaise Pascal, the famous French mathematician of 17th century, shows that gambling is not an actual purpose but rather is a way to. It could also be an enjoyable exercise in the mind, such as Pascal's and Fermat's case. Fermat is credited with the creation of the calculations that are which are now known as the theory of probabilities.

One of their colleagues stated that the theory of probabilities came into existence in the time Pascal and Fermat began playing gambling games.

Two scientists wrote brief summaries of the theory of probabilities through correspondence. The relevant material was obtained in their leisure visits to the gambling house. The treatise of Pascal was the product of this correspondence. It was a "completely new composition about accidental combinations that govern the game of gambling".

In games news , Pascal virtually eliminates illusions of luck and chance in gambling games, replacing them with cold statistic calculations built on the arithmetic head. It's difficult for us to imagine the kind of riot his invention caused among gamblers. We treat theory of probabilities as something trivial, though only experts are knowledgeable about the specifics however, everyone is aware of its fundamental premise. However, during the time of the French mathematicians, the minds of all gamblers were consumed by such concepts as "divine intention", "lap of Fortune" and many other concepts that only enhance the obsession by the game adding extra mysterious tones to the games. Pascal without any hesitation opposes his argument against such a stance towards the game "Fluctuations of happiness and luck subordinate to considerations based on fairness, and that aim to give every player what actually is owing to him".

Pascal invented mathematics as an incredible art of foreseeing. It is more than just remarkable that, unlike Galileo, the French scientist didn't conduct several exhausting tests on numerous throwing dice, which took for a lot of time. Pascal's view is that the unique feature of of mathematical analysis compared to the common statistical methods is that it obtains its results not from the tests but rather from "mind anticipating", i.e. on intellectual definitions. As a result "preciseness of mathematics is combined with uncertainty of chance. can i play a game is the reason why our method the odd name: "mathematics based on chance". The invention of Pascal was later immediately followed by "method of mathematical anticipation".


Staked money, wrote Pascal and Pascal, is no longer belonging to gamester. It is possible for players to lose nths their money , but still get something, even if the majority of gamblers don't realize that they have gained something. It is something virtual. You can't touch it and keep it in your pocket. The player must possess some level of intelligence. We are talking about the acquired "right to be able to count on a regular profit a chance can give according to the initial terms stakes".

It may not be so encouraging, however. However seeming dryness of this formulation ceases when you just pay your attention to the word combination "regular gain". Expectation of gain turns out to be quite justified and reasonable. It's another matter that a person who is more passionate is more likely to pay his focus to the words "chance" and "can offer" (and therefore, it could even be different).

Utilizing his technique of "mathematical expectation", the French scientist thoroughly calculates particular values of "right for gain" based on various initial terms. Thus a completely new definition of right appears in mathematics which differs from the similar definitions of ethics or law.

"Pascal's triangle" or in cases where the theories of probabilities fail.
Pascal has summarized the results of these tests with the help of the "arithmetic triangle" comprised of numbers. It allows you to predict the likelihood of different gains if you use it.

For the common man "Pascal's triangle" looked more like magic tables for kabbalists, or as a mystic Buddhist mandala. play retro games didn't understand the idea. This led to the belief that "Pascal’s triangle" could have been used to in the prediction of world disasters and other natural catastrophes. Uninitiated gamblers were almost religious when they observed the concept of probabilities displayed in graphs and tables as well as confirmed by actual games.

However, we must not combine the theory of probabilities with the things it does not according to its definition. "Pascal's triangle" does not predict the outcome of a particular situation. Eyeless destiny governs such things- and Pascal never debated his position on it. Theory of probabilities becomes useful and is applicable only when it is in connection with the long-running series of chance. In this situation, number probabilities, series and progress which are always constant and know beforehand, can affect the decisions of a skilled gambler for a particular stake (card, lead, etc.)

Pascal's invention is more remarkable when you think about the fact that the famous triangle was first discovered by an Muslim mathematician from certain religious orders centuries earlier. It is absolutely factual that European Pascal could not get this information from anywhere.

All this once again proves that mathematical patterns of any process are the same regardless of space and time and the whims and desires of the so called Fortune. The fact that this is the case was embraced by Pythagoreans philosophers, who had a profound and emotionally perceived the phenomenon at the time.

One to thirty-five.
Pascal was more and more frequently encountered similar problems related to the game that caused controversies in aristocratic and gambling mansions in France of that time. There was also an issue that was suggested to young Blaise by one of his aristocratic acquaintances.

The problem was dice. It was hoped to figure out the number of throws that are theoretically required to ensure that the chance of winning (two sixes) are greater than the probabilities of the other outcomes when combined. It's not as difficult as one would believe. It's simple to understand that there are only 36 possible combinations of numbers that can be made in the game with two bones. And only one combination gives double six. It's obvious to any rational person that a one-time throw has only one chance of winning thirty-five.

These basic calculations can leave dice-throwers numb but the delight of the few lucky people who throw double six is amazing. Because they know the exact amount of odds that will thwart their luck!



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