Notes

Casino Games- Gambling Is an Exercise for Your Mind
Blaise Pascal's 17th century French mathematician demonstrates that gambling might not be an end in itself but rather a means. It can also be an excellent exercise for the mind, like in the case of Fermat and Pascal. Fermat is credited with the development of mathematical calculations, now called theory of probabilities.

"Theory of probabilities was developed when Pascal and Fermat began playing games of gambling", stated one of their contemporary.

The two scientists composed summary of theories of probabilities by correspondence. The information was obtained in their leisure visits to the gambling establishment. Later this correspondence resulted in Pascal's treatise "completely new composition on accidental combinations that govern gambling games".

play games for money eliminates the myths of luck and chances in gambling by substituting them with cold numbers computed using the arithmetic mind. It's hard to imagine the rage that his invention caused among gamblers. We view the theory of probabilities as a flimsy concept, even though only experts are knowledgeable about the details however, everyone is aware of the fundamental principle. However, in the time of the French mathematician all gamblers were obsessed by notions like "divine intent", "lap of Fortune" or other things that added mystical nuances in their fascination with the game. Pascal has a strong stance against this mindset toward gambling. "Fluctuations in happiness and luck are subordinated to the considerations founded on fairness, which seek to provide every player with the amount he owes him."

In Pascal's hands mathematics became amazing art of anticipating. It's amazing that, unlike Galileo who carried out countless boring experiments with many throwing dice and spent a lot of time to conduct, the French scientist did not spend much time doing the gruelling tasks. Pascal thinks that the most distinctive feature of the science and art of mathematical consideration is the ability to produce results from "mind seeing" rather than experiments. on intellectual definitions. This is the reason "preciseness in mathematics" is often paired with uncertainty of chance. The method we use is derived from its awkward name"mathematics of chance "mathematics of chance" from this ambiguity". Another intriguing name was derived from Pascal's idea - "method of mathematical expectation".

Pascal wrote that stoked cash was no longer the property of gamers. While losing nths sum of money, gamblers also get something back even though they do not even guess that they are getting something. It's a virtual thing. It is not something you can touch and put it in your pocket. The gambler should possess an intellectual capacity. It is the "right to expect steady profits that a game can bring in accordance with the initial terms stakes."

There will be those who say this isn't very inspiring. The dryness of the formulation is averted if you pay particular attention to the word combination "regular gains". The expectations of profit are justifiable and reasonable. Another issue is that someone who's hotter is more likely to be attentive to "chance" or "can give". However, it could also be the case that they're wrong.

Utilizing his technique of "mathematical expectation", the French scientist meticulously calculates the values of "right to gain" based on various initial concepts. Therefore, a brand new definition of"right" is found in mathematics which differs from similar definitions in ethics or law.

"Pascal's Triangle" or where theory is unable to accurately predict probabilities.
Pascal has summarized the results of these experiments by using the "arithmetic triangle" consisting of numbers. It allows you to determine the likelihood of different gains if you use it.

For the common man "Pascal's triangle" was more of a magic tables for kabbalists, or a mythical Buddhist mandala. The 17th-century illiterate public did not understand the invention. This resulted in the notion that "Pascal’s triangle" could have been a way to in the prediction of world disasters and other natural catastrophes. In reality, presentations of the theory of probabilities, in the form of graphs or tables and moreover proved by the game itself created almost religious feelings among gamblers who were not educated.

While the theory of probabilities must be considered with its definition, it is important not to mix the two. "Pascal's Triangle" cannot predict the outcome of a specific deal. The oblivious nature of things is what governs these things- and Pascal never debated his position on it. Probability theory is only useful for long-term series of luck. In this case the probability or series and the progressions that are consistent and can be predicted in advance could be used to influence the decision of a skilled gambler for a specific stake (card, lead etc.).

Pascal's invention is even more remarkable when you take into account that its famous triangle was known to Muslim mathematicians from certain religious orders a few centuries long ago. This information could not have been obtained from European Pascal.

All this once again confirms that mathematical patterns in any kind of process are identical regardless of space and time and the whims of so called Fortune. The fact that this is the case was embraced by Pythagoreans, philosophers who deeply and emotionally reacted to it at that time.

One to thirty-five.
Pascal was more frequently faced with similar problems connected to the game, which created controversy in the French gambling houses as well as mansions owned by aristocrats at the time. One of his aristocratic friends suggested a problem to Blaise.


The problem concerned dice. The issue was how many throws are theoretically needed to ensure that the probability of winning (two sixes) will outweigh all other outcomes. laptop 's not as difficult as a beginner may presume. It's simple to understand that there are just 36 possible combinations of numbers in the game that requires two bones. Only one combination can give double six. Following this explanation, it's easy for anyone to understand that with a throw of one time there is just one chance for thirty-five to win.

These simple calculations can make dice-throwers feel numb but the delight of those who can throw double six is incredible. Because they know the exact number of outcomes opposite to their luck!



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