In terms of mahjong playing skills, both Wu Hui and Du Ziming are quite good. Whether they are cheating or not.

Although No. 055 could occasionally win, he quickly lost more than 2,000 chips. Basically, the chips were divided equally between Wu Hui, Du Ziming and Ren Yin.

Among the other three, Du Ziming is slightly at a disadvantage, after all, Ren Yin and Wu Hui are now teaming up to deal with him.

"You can do it." No. 055 admitted defeat and left the game, handing over a thousand chips. He did lose a lot, but he saw that there was no chance of a comeback in this confrontation.

So there are only three people left: Wu Hui, Du Ziming, and Ren Yin.

"Shall the three of us have a game? Ren Yin, don't you want to try what it feels like to defeat Wu Hui?" Du Ziming began to bewitch.

Ren Yin: "That's right, it sounds good."

"Is defeating me so fun?" Wu Hui shook his head: "It's not like you haven't won before."

"It's not fun to win against you, but it's fun to break your arrangement and go beyond your expectations." Du Ziming smiled: "Now everyone has enough chips to qualify, so it won't matter if you just play."

In fact, he originally wanted to trick Wu Hui in the mahjong game just now. Unexpectedly, Wu Hui pulled Ren Yin over.

Now he is not talking about instigating Ren Yin, at least he hopes that Ren Yin can become a third party instead of Wu Hui's collaborator.

"Then, let's play." Wu Hui shrugged.

Ren Yin: "What rules?"

She knew that she was a little behind Wu Hui and Du Ziming in terms of level. However, when the two faced each other tit for tat, that was when she had a chance to win.

"Well, let me think about it. How about this." Du Ziming said, "Let's play hammer, paper, scissors."

Of course he is not talking about the ordinary hammer-paper-scissors, but the card-based hammer-paper-scissors. The rules are also more complicated.

First, everyone has three cards: hammer, scissors, and cloth, two of each. In each round, everyone first picks one card and bets on this card. Then it is turned over. Then, everyone plays another card, and again

Place your bet and turn over.

Finally, everyone chooses one card to draw away at the same time, and wins according to the card. And wins the corresponding bet.

For example, Wu Hui first bets one thousand and turns over a hammer. Du Ziming bets five hundred and turns over a scissors. Ren Yin bets one thousand and turns over a cloth. Then Wu Hui bets five hundred and turns over a cloth.

A scissors card was opened, Du Ziming bet five hundred and a cloth was revealed. Ren Yin bet a thousand and a hammer was revealed.

The current situation is

Wu Hui: Hammer 1000, scissors 500

Du Ziming: Scissors 500, cloth 1000

Ren Yin: cloth 1000, hammer 1000

Then each person chooses one and draws it away. It becomes

Wu Hui: Scissors 500

Du Ziming: cloth 1000

Ren Yin: Hammer 1000

Then Wu Hui's scissors defeated Du Ziming's cloth and got Du Ziming's bet on cloth, which was a thousand chips. Du Ziming's cloth defeated Ren Yin's hammer and got a thousand chips. Ren Yin defeated Wu Hui's scissors and got five.

Hundred chips.

Of course, in this way, if you only bet a little bit on each card, wouldn't it be a sure profit without losing any money? So with another setting, the total number of bets on the two cards you choose in each round must not be less than one thousand.

The number of cards must not be less than one hundred.

In addition, if it is a tie, the person who bets the most on the field will take it all. For example, three people all keep the hammer. One bets 500, one 100, and one 200. Then the person who bets 500 will take it.

One hundred and two hundred.

Du Ziming proposed, and Wu Huiyin made additional changes. Finally, the rule was completed.

Of course, in elementary school, people usually called this game, punch left and right, and use your brain to close the punch. With the addition of betting and draw rules, the playability of the game has increased a lot.

So, let's get started.

In the first game, Wu Hui, with an experimental mentality, gave a hammer and a scissors 500 chips each.

At this time, Du Ziming had a piece of paper and a pair of scissors in his hands. The paper only had one hundred chips, and the scissors had nine hundred.

Ren Yin has a pair of scissors and a hammer. Like Wu Hui, he has 500 chips.

So from the perspective of the possibility of permutation and combination, there are eight possibilities in total. According to the order of Wu Hui, Du Ziming and Ren Yin, they are:

Hammer, scissors (Wu Hui won 1,400 chips)

Hammer, Paper, Scissors (Du Ziming gets 400 chips, Ren Yin gets 100 chips, Wu Hui loses 500 chips)

Hammer cloth hammer (Du Ziming gets a thousand chips)

Hammer, scissors, hammer (Wu Hui and Ren Yin share 900 chips equally)

Scissors, scissors (Du Ziming gets a thousand chips)

Scissors, scissors, hammer (Ren Yin gets 1,400 chips)

Paper Scissors (Wu Hui and Ren Yin split one hundred chips)

Scissors, Paper, Hammer (Du Ziming gets 400 chips, Wu Hui gets 100 chips, Ren Yin gets a loss of 500 chips)

For Wu Hui, assuming that the other two people randomly play cards, the mathematical expectation of hammer is 237. (Why is this a sensitive word) 5 (the results of the four hammers are added and divided by 4), and the mathematical expectation of scissors is -212.5

.

If one is positive and the other is negative, theoretically he will definitely use the hammer.

Ren Yin's mathematical expectations are the same as Wu Hui's. After all, their bets and hand cards are exactly the same. However, the cards in this game are not random.

Thinking from Du Ziming's point of view, first of all, if only one of the other two people produces a hammer, then if he produces the cloth himself, he will make a sure profit without losing anything. If the other two people produce scissors, he will only lose a hundred dollars.

However, Wu Hui and Ren Yin could also think of this.

It can be said that the probability calculation and situation analysis part of this game is very simple. For the three of them, it is over in an instant.

But the real difficulty lies in the matryoshka doll.

Can you guess which level the opponent wants? As long as you guess it, you can be one level higher than him and win.

If you guess wrong, it depends on luck.

Maybe it can be done crookedly, or maybe it will be manipulated by others.

Three people collect cards.

Scissors, scissors, scissors. If three people play the same card, Du Ziming, who bets the highest, will take all.

Du Ziming smiled: "You're lucky."

Is it luck...or did you happen to see our thoughts? Wu Hui pushed up his glasses and said nothing.

He has now figured out how to play the next game. Since Du Ziming likes to guess, let him guess. There are two methods for him to follow, one is to choose randomly, and the other is to choose the one with the highest mathematical expectations.

The two were intertwined, making it impossible for Du Ziming to guess.

When the number of layers of matryoshka dolls increases, they are actually a bit like random selection. As long as Wu Hui continues to play according to the highest mathematical expectation, there is a high probability that he will win more.

"Look at this guy. He really has a strong talent for making games boring." Du Ziming discovered the clue after playing three games and sighed immediately.

Wu Hui: "It is a normal tactic to exploit strengths and avoid weaknesses."

"It doesn't matter. You can't stop thinking all the time. You can't help it." Du Ziming shrugged: "Go on. Let's see who can't help it first."
Chapter completed!