Daming: Old Zhu, we agreed not to rush!

Chapter 119 Probability Theory

"Chongba, what you said is unusual, what exactly is unusual?"

Empress Ma asked Zhu Yuanzhang.

What Sun Cheng said also touched Empress Ma a lot.

Originally, their bet was only on the fact that Su Jing could quickly lead the employees through training and greatly improve production efficiency. But after listening to Sun Cheng's narration, it was obvious that the focus was no longer on this matter.

In Su Jing's paper workshop, there are various systems, from production guarantees to safety guarantees, to welfare guarantees.

This simply made Zhu Yuanzhang at a loss for what to say.

"Sister, do you think if I could go to such a workshop, would I still rebel?"

Zhu Yuanzhang did not answer what Queen Ma said, but asked rhetorically.

Empress Ma laughed and said, "That's not okay, wouldn't the world be gone like this?"

"Ha ha!"

Zhu Yuanzhang smiled and said, "That's right, but Su Jing's papermaking workshop is really good. He's not any businessman I've ever seen."

From the uprising to the founding of the Ming Dynasty, Zhu Yuanzhang experienced ups and downs in his life.

Although he looked down on merchants, he actually had contact with many merchants.

Without him, the uprising needs money and food.

At the end of the Yuan Dynasty, these things were either concentrated in the hands of officials and gentry, or concentrated in the hands of merchants.

A businessman with insight and vision will naturally have ideas.

Zhu Yuanzhang has seen all kinds of businessmen, but he has never seen Su Jing.

"Mr. Su is a strange person, how can those mediocre people be compared."

Empress Ma said of course.

Empress Ma was also shocked by Su Jing's creation of the paper workshop.

Zhu Yuanzhang nodded and said, "Yes, if all businessmen in Ming Dynasty can be like Su Jing, then I will be relaxed."

When fighting the world, Zhu Yuanzhang didn't feel how difficult it was to manage the world.

But when he really sat in this position, he deeply felt that as an emperor, it is really difficult to manage the world well.

Therefore, Zhu Yuanzhang was dealing with government affairs almost every day and never took a break.

When he finished listening to Sun Cheng's narration, it was not surprising that he felt this way.

Empress Ma looked at Zhu Yuanzhang, feeling a little distressed.

She is the closest person to Zhu Yuanzhang, and the person who knows best how busy Zhu Yuanzhang is.

"Chongba, it is already a blessing for the whole country to have a Mr. Su in Ming Dynasty."

Empress Ma comforted her.

Zhu Yuanzhang shook his head and said, "Unfortunately, Su Jing has no intention of becoming an official. Otherwise, I would just let him teach Biaoer."

Zhu Yuanzhang recognized Su Jing's talent and ability in his heart.

But Su Jing's resistance to becoming an official made Zhu Yuanzhang helpless.

Such talents must be subdued by him wholeheartedly before they can be used by him.

"Heavchi, I don't think there is any need to worry about this matter."

Empress Ma said indifferently: "Mr. Su is Biao'er's teacher. When Biao'er inherits the Datong in the future, Mr. Su will be granted the title of national teacher. Even if Mr. Su does not become an official, what is the difference from becoming an official?"

Master of Ming Dynasty!

When Empress Ma said this, Zhu Yuanzhang's face paused, he nodded and said, "Sister, you are still right!"

"Anyway, Su Jing is still young, after Biao'er inherits the throne, he can still be used by Biao'er."

Zhu Yuanzhang didn't turn his mind around before, he always thought about using Su Jing now.

Now listening to Queen Ma's enlightenment, I immediately feel refreshed.

"I think you are usually too tired. You should remember the little things you bet with me. Can you not worry about it?"

Empress Ma complained a little, but she also cared about Zhu Yuanzhang.

Zhu Yuanzhang said with a smile: "Speaking of this, sister, don't talk about it, Biao'er is right, Su Jing's production optimization process is really useful."

"So happy after losing? I really can't figure you out."

Empress Ma shook her head slightly, really not knowing what to say about Zhu Yuanzhang.

Zhu Yuanzhang said: "According to the standard, some work in the Ministry of Industry can also use Su Shi's production optimization. That is a great thing. Can I not be happy?"

"Yes, yes, this is a great thing."

Empress Ma echoed: "However, you don't need to work hard on these small things yourself. It's not necessary, just let the people below do it."

It's not that Queen Ma talked too much, but that Zhu Yuanzhang really wanted to do everything himself.

Now Zhu Yuanzhang is the emperor of Ming Dynasty, there is really no need to do some small things by himself.

"Understood, I understand, I will let Shangshu of the Ministry of Industry do it."

Zhu Yuanzhang immediately agreed.

Only Empress Ma's suggestion, he would listen so quickly.

"It's good to know."

Empress Ma nodded in satisfaction, and said, "I don't know how Biao'er and Mu'er are. It's been a lot colder recently, so I should remember to add some clothes."

As a mother, Empress Ma is still very concerned about her two sons who are away.

Especially Zhu Wei, at such a young age.

Zhu Yuanzhang said: "There is nothing to worry about. Biao'er will naturally take care of the fifth child, but I haven't written a letter for some days, and I don't know what I have learned."

Zhu Yuanzhang has always been strict with his son's education.

What he cares about is what Zhu Biao and Zhu Wei have learned.

"You really have a big heart."

Empress Ma gave Zhu Yuanzhang a blank look and said, "I'm not that cruel, I have to find some time to visit them."

Zhu Yuanzhang immediately explained: "Sister, I'm just talking casually, don't worry about it."

Here in Lishui County.

Su Jing taught Zhu Biao and Zhu Xi as usual.

After talking briefly about the corvee and public facilities, Su Jing's main focus was still on Zhu Xi's mathematics study.

"Master Su, I have already solved this binary linear equation, please check if it is correct."

Zhu Wei said to Su Jing.

"Okay, I'll take a look."

Su Jing then checked Zhu Xi's steps to solve the problem.

Very detailed and careful.

"Well, very good, there are no mistakes or omissions, you have mastered the quadratic equation quite well."

Su Jing nodded in satisfaction.

He is very satisfied with Zhu Huan's study progress.

In just over a month, he has mastered the solution of binary linear equations.

Many mathematical concepts involved in this also have a clear understanding.

One is that Zhu Huan's brain is really smart and his thinking is clear, and the other is that he is really hardworking and serious.

"It's all taught by Master Su."

Zhu Huan said modestly, except that he looks like a nine-year-old, there is really nothing like a nine-year-old child.

Su Jing smiled and said: "Modity is a virtue, but it's unnecessary to go too far, Niu Su, today I will teach you something different."

"Also ask Master Su to teach."

Zhu Wei immediately straightened his body and listened carefully.

At this time, Su Jing took out a copper plate and put it in the palm of his hand, then threw it directly upwards, and then fell into the palm of his hand.

"Come on, guess, is it positive or negative?"

Su Jing asked.

Zhu Wei thought for a while and replied, "Positive."

Su Jing opened his hand, it was the front.

"Yes, the answer is correct, but there is no reward."

Su Jing continued to throw the copper plate up to catch it, and then asked: "Continue to guess, what about this time?"

"Still positive."

Zhu Wei replied.

Su Jing opened her hand: "It's wrong, it's the opposite, but it doesn't matter, there is no punishment for being wrong."

After two times, Su Jing did not continue to toss the coin, but looked at Zhu Wei and said, "If I continue to toss ten times, how many times do you think it will be heads and how many times will it be tails?"

Continue ten times?

Zhu Wei thought about Su Jing's question, but didn't answer immediately.

Su Jing said: "Don't think too much, answer with your intuition."

Zhu Huan nodded and said, "Master Su, the students think there should be five heads and five tails."

"very good."

Su Jing nodded. He was very satisfied with Zhu Wei's answer to this probability question.

Although for Zhu Wei now, he doesn't know what probability is.

"Then let's try and see if that's the case."

Su Jing tossed the copper coins in a row and asked Zhu Xi to record the results, but the final result made him look a little surprised.

"Master Su, heads three times and tails seven times."

Zhu Lu stared blankly at the result, a little surprised.

This is far from his intuition.

"Why, do you feel that something is wrong?"

Su Jing said with a smile.

Zhu Lu nodded and said, "The student guessed wrong just now, but the student doesn't know why he guessed wrong."

"You toss it ten times and see the result."

Su Jing threw the copper plate to Zhu Xi.

Zhu Wei nodded, and then started the experiment.

Soon, he had ten results: eight heads and two tails.

At this time, Zhu Wei couldn't understand again. The results of these two times were so different.

"Continue to toss, do eight more ten times, record all the results, and sum them up with these twenty times."

Su Jing said to Zhu Xi.

If it was in the mathematics class in the previous life, it would probably be done after throwing it a dozen times.

That's because there was already an accurate conclusion at that time, and there was no need to discuss it anymore. The teaching must be promoted as soon as possible.

But at present, Zhu Wei's cognition of probability is still in the ignorant stage.

Doing this experiment several times honestly is the best way to understand probability.

Zhu Wei was also quite obedient, so he tossed it [-] times and recorded the results one by one.

"Master Su, I've done it. The result of one hundred times is 58 heads and 42 tails."

Zhu Huan said to Su Jing.

Su Jing nodded, and said: "Niu Su, have you noticed? As the number of throws increases, the number of times the heads and tails appear is getting closer."

"It's even closer to the [-]-[-] you answered earlier, isn't it?"

"If you continue to run, a thousand times, or even ten thousand times, what do you think the number of times heads and tails will appear?"

Su Jing slowly guided Zhu Xi.

Zhu Wei also listened to Su Jing's words seriously, thinking about Su Jing's question, he replied: "It should be getting closer and closer."

"very good!"

Su Jing looked at Zhu Wei and said, "It's a random event that the copper plate falls and turns into heads and tails. Both heads and tails are possible. We call this possibility probability. The size of the probability is the size of the possibility. .”

It took a lot of hard work to introduce the concept of probability to Zhu Wei.

Although Su Jing wanted Zhu Xi to master it quickly, he knew the truth that haste makes waste.

Only when Zhu Xi really understands can he continue the following teaching.

"Master Su, the student understands."

Zhu Wei thought about it for a while, and answered this time.

Su Jing then took out another dice and began to repeat the same experiment, but this time, the possible outcomes became six.

Repeat the throw, repeat the record.

This is a rather boring process, but Su Jing has been doing it very seriously, and he must convey this attitude to Zhu Wei.

This is the founder who will undertake the important task of scientific research in the future, and rigor and seriousness are a must.

Fortunately, Zhu Wei did not show any impatience at all, and was seriously experimenting with Su Jing.

The study of probability is a very important tool for future exploration of the laws of genetics.

When Zhu Wei was studying with Su Jing.

Zhu Biao is caught in the search.

Su Jing said many things to him during this period, and in Zhu Biao's eyes, they were all good strategies for governing the country.

But there is still a distance between Su Jing's theory and its actual implementation in Daming.

His current thinking is to shorten this distance.

However, it is still too difficult for Zhu Biao to work behind closed doors.

(End of this chapter)