In terms of mahjong playing skills, both Wu Hui and Du Ziming are quite good. Whether cheating or not cheating.
Although No. 055 could occasionally win, he soon lost more than two thousand chips. Basically it was 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. Hand over a thousand chips. He did lose a lot, but he saw that there was no chance of a comeback in a confrontation here.
So Wu Hui, Du Ziming and Ren Yin were left.
"Shall the three of us play together? 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 beat you, but it's fun to break your arrangement and surprise you." 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. However, when the two go head-to-head, that's when they have a chance to win.
"Well, let me think about it. How about this." Du Ziming said, "Let's play hammer, paper, scissors."
He's certainly not talking about ordinary hammer-paper-scissors. Twenty kind of hammer-paper-scissors with cards. The rules are also more complex.
First, each person has three cards: hammer, scissors, and paper, two of each. Each round, everyone first picks a card and bets on this card. Then open it again. Then, everyone draws another card, places their bet again, and then turns it over.
Finally, everyone chooses one card to draw away at the same time, and wins according to the card. and win the corresponding bet.
For example, Wu Hui bets one thousand first and reveals a hammer, Du Ziming bets five hundred and reveals a scissors, Ren Yin bets one thousand and reveals a cloth. Then Wu Hui bet another five hundred and revealed a scissors, and Du Ziming bet five hundred and revealed a cloth. Ren Yin bet one thousand and turned over a hammer.
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. become
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. Hundreds of chips.
Of course, in this way, if you only place a small amount of chips on each card, wouldn't it be a sure profit without any loss? 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. A single card must not be less than one hundred.
In addition, in the event of a tie, the person who bets the most takes all. For example, all three people left behind hammers. One bets five hundred on the hammer, one hundred, and one two hundred. Then the person who bets five hundred takes away one hundred and two hundred.
Du Ziming proposed, and Wu Hui and Ren Yin made additional revisions. Finally finished this rule.
Of course, in elementary school, everyone usually called this game: punch left, punch right, and use your brain to close the punch. With the addition of betting and tie regulations, 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 cloth and a pair of scissors in his hands. Paper has only one hundred chips, and Scissors has nine hundred.
Ren Yin is a pair of scissors and a hammer. Same as Wu Hui
It's five hundred chips.
So looking at the possibilities of permutations and combinations, there are a total of eight possibilities. 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 won one thousand four hundred 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 .
One is positive and the other is negative. In theory, he will definitely use the hammer.
Ren Yin's mathematical expectations are the same as Wu Hui's. After all, their bets and hands are exactly the same. However, this game is not about random cards.
Thinking from Du Ziming's point of view, first of all, if only one of the other two can produce a hammer, then he can produce the cloth himself, and he will make a sure profit without losing anything. If the other two people use scissors, I will only lose a hundred dollars.
However, Wu Hui and Ren Yin could also think of this.
It can be said that the probability and situation analysis part of this game is very simple. For the three of them, it was over in an instant.
But the real difficulty lies in the matryoshka doll.
Can you guess which level the other person is thinking of? 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 collected their cards.
Scissors, scissors, scissors. If three people play the same card, Du Ziming, the one with the highest bet, will take all the cards.
Du Ziming smiled: "You're lucky."
Is it luck...or did you happen to read 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. I will use two methods next, one is to choose randomly, and the other is to choose the one with the highest mathematical expectation. The two were intertwined, making it impossible for Du Ziming to guess.
When the number of layers in the matryoshka doll increases, it actually looks a bit like random selection. As long as Wu Hui continues to play the game with the highest mathematical expectations, he will most likely 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."
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