Notes

Casino Games- Gambling is an Exercise For Your Mind
Blaise Pascal's 17th-century French mathematician demonstrates that gambling isn't an end in itself but rather an instrument. It is a great exercise for the mind, such as in case with Pascal and another French mathematician named Fermat who came up with calculus, which is which we now call the theory of probabilities.


One of their contemporaries stated that the concept of probability came into existence at the time Pascal and Fermat began playing gambling games.

Two scientists wrote summaries on theory of probabilities by correspondence. The material relevant to their work was obtained from their visits to the gambling house. fun games to play online was a result of this correspondence. It is a "completely new composition about random combinations that regulate the game of gambling".

In his work, Pascal nearly completely eliminates phantoms of luck and chance in gambling games, substituting them with cold statistic calculations that are based on the arithmetic brain. It is hard to imagine the fury created by his invention among gamblers. While we may view the theory of probabilities as trivial, only experts are knowledgeable about its basic concepts. But everyone is able to understand its basic principle. But, during the time of the French mathematician all gamblers were obsessed with notions such as "divine intentions", "lap of Fortune" and other notions that add mystical tones to their obsession of the game. Pascal is adamantly opposed to this approach toward the game. "Fluctuations in happiness and luck should be regarded as secondary to decisions based upon fairness which aim to pay every player the amount he owes him."

Pascal made mathematics a wonderful art of foreseeing. It is more than just remarkable that, unlike Galileo who was a genius, the French scientist did not make several exhausting tests on multiple throwing dice that tool an enormous amount of time. Pascal believes that the special aspect of the science and art of mathematical analysis is the ability to produce results out of "mind anticipating" instead of tests. on intellectual definitions. This is why "preciseness in math" is often paired with the uncertainty of chance. The method we use is derived from its awkward name - "mathematics of chance" from this ambiguity". Another interesting name came from Pascal's invention"method of mathematical expectation" "method of mathematical expectation".

Staked money, wrote Pascal, no more belonged to the gamester. While losing nths sum of money, gamblers also get something back although the majority of them do not even guess it. In free games to play , it is an absolute virtual thing, you can't touch it nor put into your pocket and to be aware of it, the player should possess certain intellectual ability. This is the acquired "right to expect regular gain that a chance could give according to the initial terms stakes".

Someone will argue that it's not very encouraging. The dryness of this formulation can be remediated by paying close attention to the phrase "regular gains". The expectation of gain is justifiable and reasonable. Another issue is that someone who is hotter is more likely be aware of "chance" or "can give". However, it may also be the case that they are not right.

The French scientist employs his mathematical expectation technique to determine the precise value of "right to earn" in accordance with different initial terms. This is why a totally new definition of right is revealed in mathematics which differs from similar definitions in law or ethics.

"Pascal's triangle" or where theories of probabilities fail.
Pascal summed up the findings of these experiments by forming the arithmetic triangle that is made up of numbers. If you are able to apply it, you are able to accurately predict the likelihood of various gains.

"Pascal’s triangle" was more like magic tables for kabbalists, rather than an altar for mystics or Buddhists to common people. Inability to comprehend the concept by the ignorant public in the 17th century led to the belief that "Pascal's triangle" was a tool to predict catastrophes in the world and natural disasters in the distant future. Uneducated gamblers felt almost religious when they saw the theories of probabilities illustrated in graphic tables and figures and then verified by actual games.

Although we shouldn't mix theory of probabilities with the things it does not by its definition. "Pascal's triangle" fails to foresee the outcome of a particular case. The oblivious nature of things is what governs these things and Pascal did not even debate his position on it. The theory of probabilities is useful and is applicable only to the lengthy sequence of probabilities. In this scenario the number of probability, series, and progressions that are constant and well-known in advance can influence the choice of a smart gambler for a particular stake (card or lead, for example.)

Pascal's invention is more impressive when you consider that the famous triangle was discovered by a Muslim mathematician belonging to certain religious orders centuries ago. The information couldn't have been obtained through European Pascal.

This shows that mathematical patterns in any process are the same regardless of space and time and the whims of so-called Fortune. This fact was discovered by Pythagoreans philosophers, who had a profound and emotionally felt it at that time.

From one to thirty-five.
Pascal more and more often faced similar complications connected with the game that caused controversies within gambling houses and aristocratic mansions in France in the era. One of them was an issue that was suggested to young Blaise by one of his aristocratic acquaintances.

The problem was dice. The problem was to determine the number of throws needed to ensure that the probability of winning (two sixes) is higher than other outcomes. This isn't as difficult as a beginner may presume. It's simple to understand that there are just 36 combinations of numbers to play the game with two bones. And only one combination gives double six. After such explanation it is obvious to anyone who is able to see that with one-time throw there is only one chance of thirty-five times the chance to win.

The outcome of these easy calculations could sway numerous dice fans however, on the other hand, the joy of those lucky ones throwing double six is staggering. They are aware of the exact number and what outcomes could have swayed their luck.



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