Entertaining Children

"I won't play 80 points today, let's play something else." At nine o'clock in the evening, Xiao Yao said to the three unscrupulous roommates in the dormitory with poker cards.

After more than 20 days of intensive training, there is basically no hope for Xiao Yao to enter the Olympiad national team and become a regular player. Xiao Yao's mentality is quite calm about this, but he is still unwilling to be ravaged by three roommates while playing cards in the dormitory. Eighty percent really can't play them, Xiao Yao simply changed to a new trick today.

"You can't beat us at any game," Yan Ke smiled arrogantly, "At most, we can beat us in the first few rounds while we are not familiar with the rules. Do you want to change the game every day, just to How many times did you win us at the beginning?"

"Cut~" Xiao Yao curled his lips in disdain, and ignored him.

Chen Jiwei waved his hands to Yan Ke and Yu Gang and said, "Forget it, we have been bullying him for a long time. He wants to change the way of playing to gain some confidence, so let's just let him go." After finishing speaking, he turned around and asked Xiao Xiao Yao said, "What are you playing today?"

"21 o'clock! Will it be?" Xiao Yao smiled with the corner of his mouth crooked.

"No!" Chen Jiwei and Yu Gang replied at the same time.

"Blackjack?" Yan Ke obviously knew it, but he was a little surprised and said: "You can play cards, but the training rules prohibit gambling."

In the two hours of free time from nine o'clock to eleven o'clock, the four people in Xiao Yao's dormitory were not the only ones playing cards. The teachers do not prohibit playing poker. On the one hand, there is no TV in the middle school student dormitory, and the students are indeed bored at night. On the other hand, playing poker is mostly brain-intensive, so it can be regarded as extracurricular training. .

However, for these teenage children, they cannot be completely indulged. The teachers strictly forbid the students to gamble by playing cards. Once discovered, the training team of the winter camp will be expelled immediately.

"It's not gambling if you don't play for money." Xiao Yao explained with a smile, "I have prepared melon seeds, green beans, toffee, and chocolate. There is a big bag of each, and we use these things to represent different points. People will be given things of the same value at the beginning, and in the end the winner or loser will be determined by the value of the things they have.”

"Yes." The three of them thought about it, and it was feasible. Yu Gang was still a little unwilling and said: "Why do you have to be lucky? Otherwise, it would be boring to play. Why don't you play 80 points like before, and the loser is responsible for the hygiene of the dormitory?"

As Yu Gang said, the three of them all looked at Xiao Yao. Xiao Yao ignored the expectant expressions of the three, shook his head and refused, "I've been cleaning for more than ten days. Change the rules today, and the loser will treat guests to dinner tomorrow."

"That's fine, anyway, big stars are rich." The three jokingly said.

"Don't be complacent, be careful that I will make you poor tomorrow." Xiao Yao said viciously.

"First, let me explain the rules that the two of you don't know. Simply put, it depends on the points. The flower cards JQK are all ten points, and A can be either eleven points or one point. The total number of 21 is the highest. If it exceeds, it will explode. Whoever has the most points above 21 wins. Bet first, then deal the cards. At the beginning, each player is dealt two cards, the player has two open cards, and the banker has one bright and one dark. If it is less than 21 points, it can be played again Ask for cards until it explodes. If you get an A plus ten cards, that is, two cards to form a blackjack, it is called BlackJack, and the banker pays 1.5 times. Of course, the premise is that the banker does not also get BJ, otherwise it is a tie. If the player The first two open cards of the house have the same points, and you can choose to divide the cards. If one family becomes two, if the two supplemented two open cards meet again with the same points, you can choose to divide again. At most, one family can be divided into three houses, but the cards The remaining number of players must be filled with the same bet. After the cards are divided, each player will calculate the winning or losing separately, do you understand?" Xiao Yao looked at the two and asked.

"Understood!" The IQs of the two guys who can enter the Mathematical Olympiad winter camp must be high. Xiao Yao explained it so clearly, how could he not understand?

"Okay, let's start. I'll be the banker!" As he said, Xiao Yao took out five brand-new decks of playing cards from the table one after another.

"Fuck! Do you want so many?" The three of them stared at the five decks of cards.

"It's time to test your brains." After removing the big and small kings and an extra matching card, Xiao Yao mixed the five decks and shuffled them, and said while shuffling the cards, "I know that you play cards with your brains. , not luck. If you can build a mathematical model or formula to count cards, increase the probability of winning, and prove that it is effective. In the future, I will take you to Macheng or Las Vegas of the US Empire go play."

"Really?" The three asked excitedly. If someone else said that, the three of them would definitely express doubts, but Xiao Yao has the status of a star, whether it is going to Macheng or Meidi, it is really not too difficult for him.

"Don't be too happy. This is not the 80% of the two decks. You can calculate the main card and the score card in other people's hands from the card path and the cards that have already been played." Xiao Yao poured cold water on the three of them. : "It's five decks of cards, and it's hard for you to understand your opponent. Your choices are only cards and cards. Even if you are all mathematical geniuses, it is not easy for you to come up with such a mathematical model or formula." It can be achieved. If there is no way to ensure that the chances of winning money can be improved, I will not take you rashly."

"What exactly do you want?" The more the three of them listened to Xiao Yao's words, the more confused they became.

"I want to play something big." Xiao Yao said with a smile: "I want to capture the casino."

"How to capture it?" The three of them said in surprise, "By blackjack?!"

"Rely on mathematics! The way is through blackjack!" Xiao Yao pointed to his temple, "Among all the items in the casino, except for slot machines, the least human factor is blackjack. Each gaming table has five decks of cards, and The cards are all shuffled through the shuffling machine, and the croupiers, that is, the bankers, have also undergone the same training. There are rules in which cards are required and which are not. I think mathematics can be used to improve the ability to win money in blackjack probability."

"Why are you so clear?" Yan Ke asked curiously, "Have you ever played in a casino?"

"No." Xiao Yao shook his head.

"Then how do you know you can win money in casinos with mathematics?" Yu Gang also asked.

"I know from the way you tortured me so well a few days ago." Xiao Yao smiled wryly, "Why do I always lose to you at 80 points? Is it because I am not as experienced as you? I taught you the rules. Is it because your memory is not as good as yours? Who of you dares to memorize English words with me? Is it because your math is worse than mine, and you can count cards better than me. You can count eighty points, but you can’t count blackjack?"

"Can I tell you that there was a guy named Ma Kaiwen who did it with his companions in the previous life?" Xiao Yao added silently in his heart.

In his previous life, Xiao Yao also grew up watching movies like Fa Ge's God of Gamblers, Hua Tsai's Gambler, and Xing Ye's God of Gamblers when he was a child. Although he was fascinated by the various card-playing skills in gambling movies like others at that time, Xiangjiang's gambling movies seemed too exaggerated, and he never thought of connecting it with real life.

Until 2008 in his previous life, as an adult, he saw an American gambling film called "Blackjack Battle". To be honest, the film as a whole is not very good, but he was deeply impressed by the plot of counting cards to increase the chance of winning and successfully winning a lot of dollars from the casino.

After a little research, he was surprised to find that the movie was actually based on real people and events. The prototype of the protagonist Ma Kaiwen is a Chinese mathematics genius at MIT. Ma Kaiwen and his companions relied on card counting to rake in about 10 million US dollars from the casino in a few years. The United States has not only made movies based on his deeds, but also adapted best-selling books about the deeds of Kevin Ma and his companions into novels. Since then, Ma Kaiwen's name and deeds have been deeply imprinted in his mind.

In his previous life, Xiao Yao was not a math genius, so he could only lament the deeds of Ma Kaiwen, a great god. But Xiao Yao in this life is different. Although he is not a mathematical genius, there is no Ma Kaiwen in this world, and no one used card counting to set off a "bloody storm" in Las Vegas. It is not impossible for Xiao Yao to form his own blackjack team and go to the casino to do whatever he wants.

Some time ago, while being ravaged by three guys in the same dormitory every day, Xiao Yao also discovered that the three of them seemed to be quite talented in using mathematical card counting. As he himself said, no matter in terms of playing experience or memory, he is better than the three of them, so the only way to lose is because they are especially good at counting cards. I didn't expect to participate in a mathematics winter camp, and while being beaten to pieces, I accidentally discovered three guys who are quite talented in card counting. This crazy idea deeply buried in Xiao Yao's memory is ready to move.

Seeing the hesitant and entangled expressions of the three people, Xiao Yao smiled and continued: "Don't be so entangled, I just have such an idea, just mentioning it casually, and it's not that we want to go tomorrow or next year. Do this."

"U.S. law stipulates that you must be at least 21 years old to enter a casino, and I'm still five years away." Xiao Yao went on to introduce, "And it's not so easy to find a way to increase the chance of winning money. They are all high school students, so it’s not certain whether they can figure it out with the current mathematical knowledge.” In the previous life, Ma Kaiwen joined the blackjack card counting team as a top student in the third year of MIT, and now these middle school students must not have His level.

"What I mean is that everyone might as well regard this as a long-term goal. When we find an effective card counting method, we will do it again. A Mr. Ma once said, "There is always a dream, and if it comes true What? "" Xiao Yao quoted the classic words of Ma Yun in his previous life.

"Which Mr. Ma?" Chen Jiwei asked with a confused face.

"This is not the point." Xiao Yao waved his hand, "The point is whether we can find an effective card counting method. Let's not treat this as a gamble, but as a math problem. When we solve it When the time comes, we will let everyone know in a way that shocks the world."

"However, I guess, this matter has to wait until we are in college to have hope. The first is that we will not be old enough to enter the casino at that time, and the second is that it may not be until then that we have enough mathematics knowledge to support us. The theoretical basis of our card counting, and the third is that we can only have the kind of personal freedom to run around when we get that time." Xiao Yao clapped his hands, and finally concluded, "So, I hope you can now With such an idea in mind, we are working hard in this direction. I hope that in a few years, we can really accomplish this.”

"Okay, interesting, done!" Yu Gang was the first to respond.

"That's right, it's exciting just thinking about it." Chen Jiwei also blushed and said excitedly.

"We treat it as a math problem. I don't believe we can't solve it after a few years." Yan Ke was also convinced.

"Okay, you guys are responsible for solving the problem, and I'll take care of the rest." Xiao Yao nodded with a smile.

This world is now in early 2015, and the development of technology is far from comparable to that in the mid-1990s in his previous life. It is impossible for Xiao Yao to spend several years in the casino like Ma Kaiwen in his previous life and win tens of millions of dollars. All he wants is to live an addiction that he never forgets in his previous life.

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