Early the next morning, the alarm bell rang, Jiang Hao opened his sleepy eyes, I don't know why, I suddenly felt that the sound of the alarm clock today was not so annoying, but a little pleasant.

Jiang Hao yawned, turned off the alarm, rubbed his eyes, and said to himself: "It seems that this mood is good, it's different!" ”

Today, his main task is to seriously learn the knowledge and some skills of this Bo # Cai, so that he can become an old bird as a rookie.

Jiang Hao turned on the computer and began to collect some information about Bo#Cai on the Internet, but, after some research, there are a lot of theories and writings related to stock speculation, but there is not much information about Bo#Cai.

However, Jiang Hao has no interest in stock speculation, especially those so-called experts, Jiang Hao can only smile in his heart, is it really so awesome to come out and give advice to others?

Thinking of the loss he suffered on Bo # Cai, I can't say what I feel like, to put it bluntly, there seems to be no difference between stock speculation and Bo # Cai, it is a kind of gambling, but the way is different.

After wasting a long time, I finally collected some relevant information and basic operation skills on the Internet.

Collected some information, Jiang Hao couldn't wait to start understanding, I don't know if I don't learn, as soon as I learned, I found that there are so many doorways, and this way of playing is also varied, as well as a variety of different rebates, doing numbers and killing numbers, as well as betting skills.

Although I don't know if it works,But Jiang Hao still looked at a sigh,This information introduces some of the experience and summary of most lottery players playing lottery,Whether it is effective remains to be discussed,But this truth is the head of the way,Sentence straight to the point of Bo # color rookie。

If it weren't for the fact that he had just obtained this mysterious special ability, Jiang Hao would definitely practice according to the above and show his skills, but after suffering a loss, he also understood, I am afraid that it is not as magical and effective as the above said, otherwise this Bo # Caiye would have been closed long ago.

However, one of the introductions about the betting method made Jiang Hao look depressed, and he saw the introduction above: "The death squad-style betting method, also known as the suicide death doubling, multiples are examples; 1、2、4、8、16、32、… The advantage is that it is difficult to hang once, and it can try its best to ensure short-term profits.

The downside is that once you hang once, it will send you to 18 layers of hell and never turn over. This kind of doubling as a professional lottery will not be used, win a grain of rice, lose a field, work hard for 20 years, a handful back to the liberation. ”

After reading this summary of experience, Jiang Hao almost wanted to cry without tears, and he couldn't wait to slap his two big ears hard, it turned out that the nirvana that he had always regarded as a classic turned out to be a suicidal act!

It seems that he is not the first whimsical victim, in the Bo # color world, there have already been countless ancestors in the beginner hall, with a painful price to understand.

Although Jiang Hao was annoyed in his heart, but it happened, it couldn't change anything, if he was willing to spend more effort to understand a little bit of this knowledge, he would definitely not die so miserably.

At the moment, there is only one thought in my heart, that is, to have a good understanding of this knowledge, and we must not take it for granted and make that kind of stupid mistake, since we want to take this road in the future, these knowledge must be understood, and it is also a cover for our own special ability.

It's as if it is natural for a gambling king to win money, and at the same time, as a gambling king, he must be proficient in gambling. If you don't even understand the basic gambling rules, but you have the ability to be a gambling king, it will inevitably cause unnecessary suspicion and trouble.

Jiang Hao stayed in the house for three days, in addition to eating and sleeping, he was lying in front of the computer to make up for the knowledge of Bo # Cai, but Jiang Hao was dazzled by many of the jerky terms and various ways to play.

There are also many skills that need to be combined with software to analyze, and Jiang Hao has two big heads, but he must understand these things, so he can only learn them head-on, but it is much easier than English, but some complex skills require special software to display curve charts before they can be used.

However, these software are ridiculously expensive, and he has no money to buy them at the moment, let alone where to buy them, and he doesn't need them, just to learn about them.

Just kidding, what other trick in the world could be better than his random law? At least Jiang Hao doesn't think so.

Tong guò has made up for the evil in the past few days, Jiang Hao can be regarded as having a basic understanding of Bo # Cai, and the general rules are still understood, although there are still many rules that he doesn't know, but it is also considered a beginner.

Thinking about his previous naivety and ignorance, Jiang Hao smiled bitterly, I don't know how many Bo # Cai people are like himself, and they will only take this thing seriously after experiencing a painful price.

However, when you really get to know him, you find that it seems not so easy to make money on this, otherwise there would not be so many platforms that have been open for so many years and have not collapsed.

Tong Guò has a better understanding of this thing in the past few days, Jiang Hao is not very optimistic, if it is not for the special ability obtained, he really does not want to touch this thing again.

In the past few days of study, he finally figured out a basic problem - odds.

It turns out that the popular platforms on the Internet today, are private color and black color, the official is not allowed to set up a network blog #彩, but, because of the particularity of the network and some special reasons, even so, it does not affect its spread in the online world, and even thriving!

The understanding of odds is not complicated, for example, if you spend a dollar to buy a lottery ticket, and you win it is ten yuan, the odds are 1:10, and if you win, the dealer loses 10 yuan, and you lose 1 yuan if you don't win.

And the general private color and black color, its odds are often much higher than the official, which is why so many people rush to favor the reason for the online blog #彩, but also the main factor that the network lottery #color can not be eliminated or even more and more proliferated.

A veteran who has been in the Bo # color world for many years,The first will go to find a safe and reliable platform,Then you will consider the problem of odds,Generally speaking,The same color of the online Bo # color,There is little difference in the odds ratio,There will not be too much fluctuation and gap,So,The security of the platform is the most important.

Jiang Hao has a QQ group,It's all Bo # lottery players,It took a lot of effort in it,Finally found a relatively safe and reliable platform,Re-registered the account to recharge the member,With a minimum guarantee of ten yuan a day,Jiang Hao is not worried that he will lose,But now he has no capital,Only recharged a hundred yuan as the principal。

In the past few days, the basic understanding of Bo # Cai is almost the same, close the computer, rubbed some sore eyes, the time in front of the computer is too long, a little sore, these days he is almost forgetting to sleep and eat in the study.

Turned off the computer,Sort out what I've learned in the past few days,I have to admit,This Bo#彩 is really a science,Anyone who studies Bo#彩 should know,Studying Bo#Cai,In fact, it is studying probability,And the sacred and great "Theory of Probability" that has always been in Jiang Hao's heart turned out to be born from gambling, which made Jiang Hao very surprised, and even a little ridiculous.

The origin of probability theory began in 1654, when a French gambler, Mailer, encountered a difficult problem: Mailer and a friend each paid 30 gold coins, and whoever won the first three rounds would get the entire bet.

After a while of the game, Mailer won 2 rounds and his friend won 1. At this point, Mailer had to leave due to an urgent matter, and the game had to be stopped. How do they divide the 60 gold coins on the table?

Mailer's friends thought that since he had half the chance of winning next, he should get half of Mailer's gains, i.e., he would take 20 gold coins and Merler would take 40 gold coins.

However, Mailer argued: if he rolls the dice again, even if he loses and the game is a draw, he will get at least half of the total bet - 30 gold coins; But if he wins, he can take all 60 coins. He actually has 30 coins before the next roll, and he has a 50% chance of winning the other 30 coins, so he should get 45 coins.

So which is the right method of allocation? It is this question that gave rise to the study of probability in the history of modern mathematics.

Neither Mailer nor his gambling buddies could convince anyone, so they asked someone to help if they couldn't solve it themselves. So Mailer told the famous French mathematician Pascal about this problem, and asked some other questions in passing.

Who is Pascal? Take a look at the biography of this Master Pa:

When he was 11 years old, when he tapped the plate with a knife, the sound stopped abruptly as soon as he pressed the plate with his hand, which inspired him to write a treatise on the pronunciation of vibrating bodies, "On Sounds".

At the age of 12, he independently discovered many theorems in elementary geometry, including the sum of the internal angles of a triangle equal to 180 degrees;

At the age of 13, he discovered the coefficient of binomial expansion - "Pascal triangle";

At the age of 14, he was allowed to participate in the weekly scientific symposium chaired by Mersenne (from which the French Academy of Sciences developed).

In 1653 he wrote "Triangular Matrix Arithmetic", and in Pascal's "Triangular Matrix Arithmetic", which contains mathematical induction, the earliest and acceptable statement, so it is believed that he is also the earliest discoverer of mathematical induction.

When Pascal was less than 16 years old, he was inspired by the work of the geometer Desargues and discovered the following famous theorem: "If a hexagon is attached to a conic curve, the intersection of its three pairs of opposite sides is collinear, and the inverse proposition is true." ”

For this reason, he wrote the article "On the Conic Curve", which was published in a single article in 1640. This is the greatest advance on the theory of conic curves since the Greek Apolonius, and it is also a brilliant achievement in projective geometry. Later, he derived a series of inferences from this theorem and gave several theorems of projective geometry.

The Italian mathematician Cavalieri once suggested that the area of a triangle could be calculated by dividing it into an infinite number of parallel lines.

Pascal, in order to get rid of the logical flaws in Cavalieri's method, argued that a line is not made up of points, but of an infinite number of short lines; A polygon is not made up of lines, but of an infinite number of small faces; A three-dimensional is not composed of faces, but is composed of countless thin three-dimensional dimensions.

Following this line of thought, he found the area of the curved trapezoid under the curve (equivalent), the area of the cycloid and the volume of its rotating body.

Pascal had achieved a high level of geometry in the study of infinitesimal at that time, but because the concept of infinitesimal was not clear, and its insignificance was also mysterious, he answered the criticism of others with "understanding" when questions were asked.

Pascal argues that nature offers the infinitely large and the infinitely small to people not for understanding but for appreciation. He saw that the infinitely large and the infinitely small were mutually conditioned (reciprocal). It denies that the graph is composed of low-dimensional elements, and argues that discrete and continuous differences disappear with the application of analytical methods.

These ideas opened the way for the later strict definition of limits and infinitesimal to the establishment of calculus, and he conducted in-depth research on cycloids, and in 1658 he wrote his famous work "On Cycloids", which solved many problems about cycloids, and this book had a deep influence on the young Leibniz.

At the age of 18, he designed the world's first mechanical computer (capable of addition and subtraction).

In 1648, he proved that air is pressurized, which caused a stir in the scientific community and shattered the old scholastic doctrine that "nature fears a vacuum".

He also studied the general law of equilibrium of liquids, and found that "the pressure of the fluid in a closed vessel at any point is equally transmitted in all directions with equal intensity." This is the most basic principle of hydrostatics – Pascal's principle.

Pascal was also a master of prose, a thinker, and a theological polemicist. The "Thoughts Record" and "Letter to the Provincials" written by him are listed as classic literary masterpieces.

With his ability to control words as a prose master and the penetrating insight of a thinker, he is not only fluent in his writings, but also known for his polemic sharpness and profundity of thought.

It had a great influence on the development of French prose, and even the great French writer Voltaire was inspired by his literary works.

When Jiang Hao learned about this for the first time, he was also very encouraged in his heart, and he had to sigh that this guy was an out-and-out genius. At that time, many mathematicians did not believe that such a teenager could write such an esoteric book, but this guy died early, at the age of 39, which can be described as a jealous talent.

It is said that after the young Master Pa received Mailer's question, he did not take it for granted as some experts now, but studied it.

However, Mailer's problem actually stumped Pascal, because there was no knowledge to solve such problems at the time, and both seemed to have a point.

So Pascal wrote to another famous mathematician, Fermat. The name Fermat may not be familiar to many people, but it is also a very bullish character, and the mathematics named after him includes: Fermat's major theorem, Fermat's minor theorem, Fermat's number, Fermat's principle, Fermat's spiral, etc.

Thus began an epoch-making correspondence between these two great French mathematicians, in which they finally solved the problem correctly.

They imagined that if they continued to gamble, what would be the chances of Mailer (set as A) and his friend (set as B) winning in the end? The two of them can bet at most 2 more rounds to determine the winner, and there are 4 possible outcomes in these 2 games: A, A, B, B, B. In the first 3 cases, A wins last, and only in the last case B wins, so the bet should be divided in a ratio of 3:1, i.e. A gets 45 gold coins and B 15.

Although Mailer calculates differently, his method of distribution is correct. During the research of the two Frenchmen, the Dutch mathematician Huygens also accidentally learned about the problem.

Speaking of this Master Hui, the origin is even bigger. He is an important pioneer of physics between Galileo and Newton, but when it comes to this bull now, not many people may remember it, at least Jiang Hao doesn't know him much.

Maybe it's because Master Hui is Dutch, and the two Frenchmen don't take him to play, or for other reasons. So he began to study this problem alone, and three years later, ** people commented: "Master Hui is really rigorous, it took three years of research to answer Mailer's question satisfactorily, and Newton saw the apple fall and discovered that gravity has to fight!" ”

That is, in 1657, Huygens put the problem in a more complex situation, trying to summarize more general laws, and as a result, he wrote the book "On Calculation in the Game of Craps", also translated as "On Calculation in Gambling", which is the earliest work on "probability theory".

It is they who have raised this kind of problem to the level of theory and summed up the general laws in it. At the same time, their research has also attracted many scholars, thus pushing the mathematical discussion of gambling to a new level, and gradually establishing some important concepts and algorithms, so that this kind of research has developed from the analysis of chance to a new branch of mathematics.

Caused by the gambler's questions, probability gradually evolved into a rigorous science. Although Huygens's "On Computing in Gambling" has been published for more than 300 years, his scientific thinking and methods have transcended time and space, and exude infinite power in mathematics education, especially the study of probability theory.

Understanding its content will help humans learn and apply probability theory, an important branch of mathematics. As Laplace puts it, "It is undoubtedly surprising that a science that began as the study of gambling opportunities should become the most important discipline in human knowledge." ”

As for the origin of "Probability Theory", Jiang Hao sighed in his heart after learning about it, it does not seem very noble, and it can even be said that "the background is not very good", but its production has made an important branch of mathematics on the stage of history, and the unremitting efforts of generations of mathematicians have been continuously developed.

Nowadays, it is widely used by ** people, and even tries to find out the internal law of probability in the lottery.

Jiang Hao yawned and looked out the window, he had already been slanting in the west, he hadn't been to English training in the past few days, he hadn't gone to the company to go through the final resignation procedures, and he had only sent a few text messages to Su Mengqi.

"It's time to go out and walk around, you have to find a goal quickly, so that you can improve your ability, otherwise you won't starve to death with this 300 monthly salary?" Jiang Hao said to himself as he got up to clean up.

PS:'Bo # 彩' is a sensitive word,Later with the" Bo C "instead,In addition, ask for a collection.,Recommend it.,And,The book has been signed.,Please rest assured that the collection supports.,The festival is very powerful!