1. For any event, a: p (a) = 1-p (not a).
2. When events A and B satisfy that A is included in B: P(BnA)=P(B)-P(A), and P(A)≤P(B).
3. For any event A, P(A)≤ 1.
4. For any two events A and B, P(B-A)=P(B)-P(AB).
5. (Addition Formula) For any two events A and B, P(A∪B)= P(A)+P(B)-P(A∪B).
Probability theory and mathematical statistics are one of the important courses for science, engineering and economic management majors in colleges and universities. It accounts for about 22% in the postgraduate mathematics (count one, count three).
Methods of learning mathematics
1, the most important thing in learning mathematics is the ability to solve problems. If you want to do math problems, you must have a lot of practical accumulation and know the steps and methods to solve various problems. If you do more questions, you will feel it. If you come up with similar questions, you will have a solution idea.
2. Second, learn to preview. The idea of solving problems is not directly available, nor can it be easily obtained by simply doing a few questions, but accumulated in the preview process. Therefore, preview plays a very important role in the process of mathematics learning. On the one hand, preview can make everyone know something about mathematics in advance, on the other hand, it can cultivate students' autonomous learning ability in mathematics.
3. When learning mathematics, you must do more problems. After understanding the basic definition and knowledge points of mathematics, we need to consolidate our knowledge by doing corresponding exercises. Only by doing more and practicing more can we master what we have learned better. It is easier to look at flowers than embroider when learning mathematics. Only when you really do the problem and experience the actual operation can you learn.
4. Learn to summarize when you finish the questions. We should be good at classifying and summarizing the problems we have done and those we have done wrong, and then analyze similar problems to know where the problems are easy to occur, and then try to avoid them. At the same time, in the process of doing the questions and summarizing, we should learn to draw inferences from others and seize the test sites for review.
5. To learn mathematics, you must be able to read books, and check for missing items. The basic test sites of mathematics are all from textbooks. People think that books have nothing to read because they don't know enough about textbooks. Every definition in the book should be understood in reverse, the meaning of every word should be deeply studied, and every example should be understood, so that mathematical formulas and deformation formulas can be derived.