In yesterday's class, the probability and statistics teacher wrote an example on the blackboard: one of the five lottery tickets was signed, and three people drew in order. The probability of each person winning the lottery was one in five. Ask how to prove that everyone has the same probability of winning in the lottery. No one doubts the fairness of the lottery, but few people have thought about its scientificity. "In fact, the act of drawing lots has been circulating in China for thousands of years. Everyone knows to draw lots, but at that time, no one thought about the scientific truth." The teacher spoke eloquently on the podium, "the theoretical system of probability and statistics in foreign countries was established hundreds of years earlier than that in China, which was the reason why China was backward at that time." Just like everyone knows that 1 + 1 = 2, but you know and recognize this axiom, but you never think about why. Most people have been numb to the universal phenomenon, and they will not explore the truth and essence, which is the difference between people. A really smart person will think and gain no matter what you ask him to do. Even if you let him sweep the floor, he can learn something from sweeping the floor. Maybe he can make something famous. Recalling his first year in the student union, he was a small officer who only needed executive power. In some large-scale activities, it is nothing more than helping to set up stools and urge performers to appear on the stage. I used to help just to help, but I didn't have a subconscious thinking to learn. From how to hang the curtain of the stage to what groups and arrangements the staff of the whole event need, I have never considered these things. But those who plan the whole event are those who know all this like the back of their hands. If you have helped for a year, you still get nothing. When you really face the arduous task of overall planning, you will only be helpless. Those who are at the same level but think more and learn more are really different from you. The difference is in your ability to think. According to the Analects of Confucius, "learning without thinking is lost, and thinking without learning is dangerous." The importance of thinking was summed up thousands of years ago. Confucius' wisdom is really amazing. I think "learning" can be understood as practice and implementation. Practice and implementation can let us gain experience. Thinking and feedback can let us solve existing problems and do better. If you only do what you don't want, you'll never grow up. A question that has been wrong a hundred times will still be wrong, because you have not summarized and reflected, and because you still don't know the reason for your mistake, so at this time, it doesn't make much sense for you to continue to brush the question. Instead, the urgent task is to summarize the wrong question, think about the cause of the mistake, and make sure you can jump through this trap and make no mistakes in the future. But if you just want not to do it, you will lose the practical significance of thinking. If you don't do this, why do you think about it? Just like when you fall in love with a girl, you figure out in your heart how to chat up her, then make friends with her, and then make romantic confession to her. In fact, every time you see her, you don't even have the courage to approach her and say hello with a smile. You just look at it from a distance. What's the use of the calculation in your heart. In today's world, people who only want to do what they don't want to do and people who just want not to do account for the vast majority. If you can have such an ability to combine execution and thinking, you will be better than the vast majority of people. To do a good job, thinking and execution are actually interspersed throughout the whole process. First think, then do, then think, then do, and finally think. The first thought is to think and predict before doing something: why do you want to do it? How to prepare the whole process? What personnel and materials are needed? How to do this efficiently? Envision the whole activity process and all details as well as possible mistakes in the process. The first thing to do is to practice and explore. Put what you think into practice, whether it has subtle problems or not. The second thought is to reflect and think about how to solve the problem. In practice and exploration, you will encounter a series of problems. At this time, you should stop and record these large and small problems one by one to find the most effective solution. At the same time, reflect on what is wrong and what is not good enough and can be improved; What can be remedied and what cannot be remedied. The second step is to implement the improved scheme. This time will be smoother than the last time, because after your reflection and combined with the actual situation, it will certainly be smoother. The third thought is to sum up experience. Both successful and failed experiences should be recorded. When you do a similar thing next time, you always have some experience for reference. Of course, it's much better to do it without experience. In fact, to do a good job, we should not stick to the above examples, but organically combine thinking and doing countless times, and constantly refine ourselves. According to the 28 principle, 20% of the world's resources will account for 80% of the world's resources. So, in fact, there are not too many smart people. I hope you will be one of these smart people.

In yesterday's class, the probability and statistics teacher wrote an example on the blackboard: one of the five lottery tickets was signed, and three people drew in order. The probability of each person winning the lottery was one in five. Ask how to prove that everyone has the same probability of winning in the lottery. No one doubts the fairness of the lottery, but few people have thought about its scientificity. "In fact, the act of drawing lots has been circulating in China for thousands of years. Everyone knows to draw lots, but at that time, no one thought about the scientific truth." The teacher spoke eloquently on the podium, "the theoretical system of probability and statistics in foreign countries was established hundreds of years earlier than that in China, which was the reason why China was backward at that time." Just like everyone knows that 1 + 1 = 2, but you know and recognize this axiom, but you never think about why. Most people have been numb to the universal phenomenon, and they will not explore the truth and essence, which is the difference between people. A really smart person will think and gain no matter what you ask him to do. Even if you let him sweep the floor, he can learn something from sweeping the floor. Maybe he can make something famous. Recalling his first year in the student union, he was a small officer who only needed executive power. In some large-scale activities, it is nothing more than helping to set up stools and urge performers to appear on the stage. I used to help just to help, but I didn't have a subconscious thinking to learn. From how to hang the curtain of the stage to what groups and arrangements the staff of the whole event need, I have never considered these things. But those who plan the whole event are those who know all this like the back of their hands. If you have helped for a year, you still get nothing. When you really face the arduous task of overall planning, you will only be helpless. Those who are at the same level but think more and learn more are really different from you. The difference is in your ability to think. According to the Analects of Confucius, "learning without thinking is lost, and thinking without learning is dangerous." The importance of thinking was summed up thousands of years ago. Confucius' wisdom is really amazing. I think "learning" can be understood as practice and implementation. Practice and implementation can let us gain experience. Thinking and feedback can let us solve existing problems and do better. If you only do what you don't want, you'll never grow up. A question that has been wrong a hundred times will still be wrong, because you have not summarized and reflected, and because you still don't know the reason for your mistake, so at this time, it doesn't make much sense for you to continue to brush the question. Instead, the urgent task is to summarize the wrong question, think about the cause of the mistake, and make sure you can jump through this trap and make no mistakes in the future. But if you just want not to do it, you will lose the practical significance of thinking. If you don't do this, why do you think about it? Just like when you fall in love with a girl, you figure out in your heart how to chat up her, then make friends with her, and then make romantic confession to her. In fact, every time you see her, you don't even have the courage to approach her and say hello with a smile. You just look at it from a distance. What's the use of the calculation in your heart. In today's world, people who only want to do what they don't want to do and people who just want not to do account for the vast majority. If you can have such an ability to combine execution and thinking, you will be better than the vast majority of people. To do a good job, thinking and execution are actually interspersed throughout the whole process. First think, then do, then think, then do, and finally think. The first thought is to think and predict before doing something: why do you want to do it? How to prepare the whole process? What personnel and materials are needed? How to do this efficiently? Envision the whole activity process and all details as well as possible mistakes in the process. The first thing to do is to practice and explore. Put what you think into practice, whether it has subtle problems or not. The second thought is to reflect and think about how to solve the problem. In practice and exploration, you will encounter a series of problems. At this time, you should stop and record these large and small problems one by one to find the most effective solution. At the same time, reflect on what is wrong and what is not good enough and can be improved; What can be remedied and what cannot be remedied. The second step is to implement the improved scheme. This time will be smoother than the last time, because after your reflection and combined with the actual situation, it will certainly be smoother. The third thought is to sum up experience. Both successful and failed experiences should be recorded. When you do a similar thing next time, you always have some experience for reference. Of course, it's much better to do it without experience. In fact, to do a good job, we should not stick to the above examples, but organically combine thinking and doing countless times, and constantly refine ourselves. According to the 28 principle, 20% of the world's resources will account for 80% of the world's resources. So, in fact, there are not too many smart people. I hope you will be one of these smart people.