Kunning Palace.
After Zhu Yuanzhang finished handling the matter at hand, he came again.
I haven’t read the letter from my son Zhu Biao yet.
"Sister, you didn't peek, did you?"
Zhu Yuanzhang came to Queen Ma in a hurry and said anxiously.
Queen Ma smiled and said, "Don't worry, I didn't watch it."
Zhu Yuanzhang said with a smile: "Okay, let's look back together."
Zhu Yuanzhang felt much happier now that he had just received a work-for-relief method.
He and Queen Ma continued to look back at Zhu Biao's reply. After talking about work-for-relief, the next step was to borrow money to raise funds.
"This Su Jing is really joking. How could the court borrow money from a businessman?"
Zhu Yuanzhang was so angry that Su Jing laughed.
Even during the uprising, he would not lend money to merchants.
Now that the Ming Dynasty had been defeated, the court wanted to borrow money from businessmen, and Zhu Yuanzhang didn't even intend to take a closer look.
Queen Ma, on the other hand, continued to look back calmly.
In her eyes, no matter what Su Jing said or did, there was always a deep meaning.
Anyway, Zhu Biao has more content later on, so I’ll talk about it after reading it.
"Chongba, don't worry, look at what's written on the label."
After reading it, Queen Ma immediately urged Zhu Yuanzhang to continue looking back.
"What's wrong, sister, can Su Jing still tell this story?"
Zhu Yuanzhang said with disdain.
Empress Ma nodded and said, "Mr. Su really told the truth."
Um?
Zhu Yuanzhang frowned and looked immediately.
After a while, his expression also changed slightly.
"Su Jing's remarks are really confusing, but they can't deceive me. The court borrows money from businessmen? Where does this put the court? Impossible!"
Zhu Yuanzhang still insisted on his own opinion.
This is mainly because Zhu Yuanzhang despises businessmen from the bottom of his heart. He cannot accept Su Jing's words from the bottom of his heart.
Empress Ma said, "Chongba, what you said is wrong. Mr. Su's words are not a lie."
"If you think about it, Mr. Su is also a businessman. According to him, the court borrows money from businessmen and then builds public facilities to promote economic development, but this may fail."
"At that time, can these businessmen who borrow money ask the court for money? It is the businessmen who will lose."
"If Mr. Su wants to lie to you, why would he say such things that harm his own interests?"
From Su Jing's point of view, what Queen Ma said was half right.
In fact, Su Jing's theory is based on the premise that the Ming Dynasty was extremely wise.
Otherwise, businessmen will be like leeks.
If you borrow money, you cannot collect the debt. Zhu Yuanzhang also realized this problem when Empress Ma said this.
This matter actually has very little benefit to businessmen.
Su Jing's starting point is still for the good of Ming Dynasty.
"Is this kid Su Jing stupid? Can this be said from his mouth?"
Zhu Yuanzhang also wondered.
After listening to Queen Ma's story, his mind finally came to its senses.
"Mr. Su just taught Biao'er, he probably didn't think much about it."
Empress Ma said calmly: "I think Mr. Su is right in saying that no matter how good the method is, the executor must be capable."
Zhu Yuanzhang sighed and said: "I also know this, but talents are rare!"
Although Zhu Yuanzhang has many talents under his command, Zhu Yuanzhang's standards for talents have changed since he saw Su Jing's talent and learning ability.
Empress Ma was convinced and said: "Indeed, great talents like Mr. Su are really rare!"
"Fortunately, he is Biao'er and Tie'er's teacher, which is not bad at all."
While the couple was sighing with emotion, in Lishui County, there was an extremely solemn look on Zhu Tie's young face.
Just because of the current teaching, Su Jing has begun to work harder.
I saw Su Jing taking out a dice and a bowl.
"Niu Su, listen up, I throw the dice into the bowl. Assume that the probability of each point appearing is the same, that is, one in six. Then I ask you, I throw three times in a row, and the sum of the points is nine. What is the probability of clicking?"
Su Jing slowly said the content of the topic.
The study of probability has reached a certain depth, and the difficulty of this question is also different from before.
Zhu Li frowned, thinking carefully, and kept writing something on the paper with the brush in his hand.
Zhu Biao on the side also wanted to try to solve this problem at first. When Su Jing taught probability, he also listened to some lessons.
Although he has never practiced as intensively as Zhu Rui, he is older after all.
Zhu Biao thought he could solve it at first, but after thinking for a while, he realized that this was not his area of expertise.
Then he gave up.
In Su Jing's words, if you learn to give up, life will be better.
Zhu Rui could not give up. He had been studying mathematics these days. The charm of mathematics had been deeply engraved in Zhu Rui's heart.
However, this question is still a bit difficult for Zhu Ju now.
The time of burning the incense passed quickly. Zhu Ru shook his head helplessly and said: "Master Su, if the student can't figure it out, please ask Master Su for guidance."
Su Jing did not set a time limit, but Zhu Xi knew his level.
If you can't figure it out, you can't figure it out. There's no need to waste time.
"It doesn't matter if you can't solve it. This question is already a bit difficult. Let me explain it to you in detail."
Su Jing did not blame Zhu Ju. If he couldn't figure it out, he would be scolded. How many people would be scolded.
"Yes, Master Su."
Zhu Ru nodded, paper and pen ready in his hand.
Su Jing picked up the dice and said: "I have told you before about the probability of throwing dice. Given that the probability of each side is the same, the probability of one to six points appearing is the same."
"So that means, for the first throw, there are six possibilities, right?"
Zhu Ru nodded.
Su Jing continued: "Okay, then the second toss also has six possibilities, and these six possibilities are based on the six possibilities of the first toss."
"Then the total possible outcomes are six times six, which is thirty-six outcomes."
"The same principle applies to the third toss. The possible results for the third time are six times six times six, which is 216 possibilities."
"By now, Niu Su, you should know everything. I think you have just calculated all the possibilities."
Zhu Rui replied seriously: "Master Su, the total number of possibilities calculated by the student is 216. That's right."
"very good."
Su Jing praised: "Then there are a total of 216 possible outcomes. The next step is to find the possibility that the sum of the three points is nine."
"I ask you Niu Su, if the points of these three dice throws are 9, then how many combinations of points are there for the three dices, and what are they without considering the order."
After hearing Su Jing's question, Zhu Ru immediately started thinking.
It didn't take long for him to reply: "Master Su, there are six situations in total, namely 126, 135, 144, 225, 234 and 333."
Su Jing guided him here, and Zhu Rui's eyes also glowed.
He looked at Su Jing and said, "Master Su, the student understands something."
Su Jing nodded slightly and said: "Okay, you continue to calculate, what is the probability?"
"Okay, Master Su."
Zhu Ru nodded excitedly and started calculating again.
This made Zhu Biao on the side a little confused, why he suddenly understood again.
After a short while, Zhu Xi raised his head and said: "Master Su, the student has calculated it. The probability is 25/216, which means there are 216 possibilities in total. There are 25 situations where the sum of the points is 9."
"Master Su, is the student's calculation correct?"
Zhu Xi was a little excited because he understood.
Su Jing nodded, her eyes full of approval.
"Okay, I got it right!"
Zhu Ju jumped up excitedly. Even though he usually behaved calmly, he was still a nine-year-old child.
However, Zhu Biao on the side was confused at this moment.
He said to Su Jing: "Master Su, how did you calculate this? Why do I not understand it?"
Su Jing smiled and said to the excited Zhu Ju: "Niu Su, come and teach your big brother."
"Yes, Master Su."
The excited Zhu Xi also calmed down and turned to look at Zhu Biao.
Zhu Biao didn't have any psychological burden of being taught by his younger brother. He only had his own order of learning and specialization in his profession.
"Fifth brother, my eldest brother is not as smart as you. You have to explain it in more detail."
Zhu Biao said with a smile.
Zhu Zhu nodded and said: "I understand, brother. Brother, must you have understood what Master Su just said."
"Yes, I understand."
Zhu Biao nodded and said: "I just don't know how to calculate the 25 possible results later."
Zhu Rui said: "Now that we understand here, the rest is actually simple. As we just said, there are six combinations of three points with 9 points, namely 126, 135, 144, 225, 234 and 333. "
"The six types here can actually be divided into three categories. The first category has three different points, that is, 126, 135 and 234."
"The second category is three points with two identical ones, that is, 144 and 225."
"Next is the last category, three with the same points, 333."
"By this point, brother understands everything."
When Zhu Ju was giving lectures, he consciously or unconsciously learned from Su Jing and guided her step by step.
Zhu Biao nodded and said, "Yes, I understand. What next?"
Zhu Xi continued: "Then for the first type of situation, let's look at it one by one. 126 means that the three points are all different. But if you consider the order in which the points appear, there will be a total of six situations, namely 126, 162, 216, 261, 612 and 621, similarly, the other two combinations in this category also have six situations each, and this first category has 18 possible results."
Hearing this, Zhu Biao suddenly said: "I understand. For these two types of situations, take 144 as an example. The combinations in different orders are 144, 414 and 411, right? There are two in this category, then That’s 6 possible outcomes.”
"The final third category, 333, has only one outcome, so the total is 18+6+1, which is 25 possible outcomes!"
Although he didn't react as quickly as Zhu Biao, Zhu Biao understood it himself.
"Yes, brother, that's how it was calculated."
Zhu Ru said with some pride.
Zhu Biao looked at Zhu Xi and said, "Fifth brother, I am ashamed of myself. You are so awesome!"
Zhu Biao said it sincerely, and he was also happy for Zhu Ju.
"Big brother is joking. It's all taught by Master Su. Besides, I only understood it after Master Su's prompting."
Zhu Ru lowered his head, a little embarrassed.
Su Jing laughed and said: "Okay, you are all very good, and you are not proud of your achievements. This is good. I am very happy. Let's have barbecue in the evening to reward you."
Whether it was Zhu Biao or Zhu Ru, Su Jing was quite satisfied.
When they heard about barbecue, both Zhu Biao and Zhu Xi showed surprise on their faces.
No other, Su Jing’s barbecue skills are top notch!
They had eaten it once before and were amazed.
Now that I can eat it again, I am quite excited.
"Thank you Master Su."
"Thank you Master Su."
Zhu Biao and Zhu Ru both said to Su Jing at the same time.
Su Jing smiled and said: "Well, that's all for today's study. Let's prepare the ingredients for the barbecue. Let's have a barbecue party tonight!"
"Okay, Master Su, you and I will go buy meat."
"Master Su, I'm cutting bamboo sticks at home."
Zhu Biao and Zhu Xi immediately assigned themselves tasks, which was very positive.
Su Jing looked at the two of them, quite satisfied.
This kind of life is pretty good.
(End of chapter)
