The story of Blaise Pascal, the famous French mathematician of 17th century, shows that gambling is not an actual purpose but rather means. It can be an excellent exercise for the mind, such as the case of Pascal and another French mathematician - Fermat who developed calculationsthat are later referred to as the theory of probabilities.
"Theory of probabilities was developed by Pascal and Fermat started playing games of gambling", stated one of their contemporaries.
The two scientists made summary of theories of probabilities through correspondence. The material relevant to their work was gathered in their leisure trips to the casino. Pascal's treatise was a result of this correspondence. It was a "completely new composition about accidental combinations that govern the game of gambling".
In his work, Pascal nearly completely eliminates phantoms of luck and chance from gambling games, replacing them with cold statistic calculations that are based on the arithmetic brain. It's hard to imagine what riot the invention caused among gamblers. Although we view the concept of probabilities as trivial and unimportant, only the experts know about its core concepts. But, anyone can comprehend its fundamental principle. However, in the time of the French mathematician, gamblers were obsessed with concepts like "divine intentions", "lap of Fortune" or other concepts which added mystical meaning to their obsession of the game. Pascal is unafraid to oppose his position on this attitude towards the game "Fluctuations of happiness and luck should be subordinated to considerations that are based on fairness and which seek to pay every player the amount owed to him".
With Pascal's help, mathematics was a amazing art of anticipating. It's amazing that, unlike Galileo who did countless tedious experiments using numerous throwing dice, and required a lot of time to do so and so on, the French scientist didn't have to spend much time doing these tiring tasks. According to Pascal, the unique feature of of mathematic consideration compared to standard statistical methods is that it derives its conclusions not through research but instead is based on "mind foreseeing", i.e. on intellectual definitions. This is why "preciseness of mathematics" is paired with the uncertainty of chance. This uncertainty is what gives our method its strange title: "mathematics based on chance". Another interesting name came from Pascal's invention"method of mathematical expectation "method of mathematical expectation".
Pascal wrote that stoked cash no longer belonged to gamesters. However, losing nth sum of money, players receive something although the majority of them do not even guess it. It is something that is completely virtual. You are not able to touch it or put it into your pockets and be aware of it, the player should possess certain intellectual ability. This is the gained "right to be able to count on a regular profit the chance to earn in accordance with the initial conditions - stakes".
This may not be inspiring, but. The dryness of the formula is eliminated when you just pay your attention to word combination "regular gain". Expectation of gain turns out to be a good idea and fair. Another issue is that someone who's more attractive is more likely to be aware of "chance" or "can give". But, it may also be the case that they're incorrect.
Using his method of "mathematical expectation" that the French scientist thoroughly calculates particular values of "right to gain" based on various initial terms. This is why a totally new definition of right is revealed in maths that differs from the equivalent definitions found in law or ethics.
"Pascal's Triangle" or where the theory fails to accurately predict probabilities.
Pascal summarized the findings of these experiments using the so-called "arithmetic triangle" consisting of numbers. It lets you predict the probabilities of various gains if you apply it.
For common people "Pascal's triangle" was more of a magic tables for kabbalists, or a mythical Buddhist mandala. best play games did not understand the invention. This caused the idea that "Pascal’s triangle" could have been used to forecast world catastrophes as well as other natural catastrophes. Gamblers who were not educated felt almost spiritual when they observed the concept of probabilities illustrated with graphic tables and figures and then verified by real games.
While theory of probabilities can be considered in conjunction with its definition, it is important not to mix them. "Pascal's triangle" fails to foresee the future deal in one particular situation. The things that are in play are controlled by an eyeless destiny, and Pascal never debated the subject. Probability theory is useful and is applicable only in relation to the long series of chances. Only in this scenario the probability as well as series and progressions that remain constant and can be predicted in advance could be utilized to determine the choice of a skilled gambler for an exact stake (card lead, card.).
Pascal's invention is even more remarkable when you be aware that the famous triangle was well-known to Muslim mathematicians of specific religious orders a few centuries long ago. This information cannot have been obtained through European Pascal.
This is yet another proof that the mathematical patterns of every process remain the same, regardless of time and space or whims and desires of the so-called Fortune. This is a fact that was heavily criticized by Pythagoreans who were philosophers who emotionally and deeply felt it.
One to thirty-five.
Pascal was frequently confronted with similar issues related to the game that caused controversy in casinos in France and aristocratic mansions at that time. There was also a matter that was brought to the young Blaise by one of his aristocratic friends.
The problem concerned dice. It was desired to find the amount of throws is necessary to theoretically ensure that the chances to win (two sixs) are greater than the probabilities of all other outcomes combined. All this is not so difficult as a beginner may believe. It's simple to understand that there are just 36 possible combinations of numbers that can be made in the game that requires two bones. And only one combination gives double six. fun games to play online to anyone who is logical that a throw of one time is only a chance to win thirty five.
The results of these simple calculations can cast down many fans of dice However, on the other hand, the joy of the lucky play ers who have thrown double six is astonishing. Because they are aware of the exact devil number of odds that will thwart their luck!