For a specific event, the determination of P(A) is based on the definition, which is obtained through statistics and calculation, and cannot be assigned manually.
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Copy it first:
It is also possible that this is not an axiomatic definition of probability, but a unified pseudo-definition in textbooks, while the real definition seems to involve the theories of other branches of mathematics such as measure space. After all, this is not the definition of mathematics major. He was afraid he wouldn't understand. It seems that the definition of not only middle schools but also universities is harmonious.
If you want to study mathematics rigorously, you must first study mathematical analysis and advanced algebra, and then study advanced mathematics, probability and so on. Non-mathematics majors lack such a foundation, so the definitions of advanced mathematics and probability for general majors can only be given a very loose definition, because students can't understand even if they are rigorous.
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I went to find some information and posted it together.
How to define probability and how to base probability theory on strict logic is a difficult point in the development of probability theory, and the exploration of this problem has been going on for three centuries. Lebesgue's theory of measurement and integration, which was completed in the early 20th century, and the abstract theory of measurement and integration, which was developed later, laid the foundation for the establishment of axiomatic system of probability theory. Under this background, the Soviet mathematician Andrei Andrey Kolmogorov gave the definition of measure theory of probability theory for the first time in his book "Fundamentals of Probability Theory" in 1933, established a strict axiomatic system of probability theory based on measure theory and integral theory, and wrote the most brilliant page of mathematics in the former Soviet Union in the history of science. . His axiomatic method became the basis of modern probability theory, making it a rigorous branch of mathematics, which played a positive role in the rapid development of probability theory.
This shows that the landlord's point of view is reasonable. Probability and mathematical statistics are introductory textbooks, and there is no way to make a set of strict definitions that students can't understand. Thank you for your inspiration ~
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Axiomatic system of probability theory: mathematical model of random world. Author: Xiong Daguo Tsinghua University Publishing House.
It's best to read this book, but the electronic version can't be found online.
However, I found that there is a lot of related content on the following blog, and I gained a lot after reading it.
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