Konoha's Shiranui Genma

Chapter 208 A Winning Gamble
The two played the game tirelessly, each winning or losing, while Jing Yin kept a small book and kept accounts, and about half an hour passed in a blink of an eye.

Positive, negative, negative, negative, positive, negative, negative...

Tsunade's expression was gloomy and sunny, but Shiranui Genma didn't look at her at all, he just counted in his heart, while making pros and cons according to a certain rhythm, methodically.

It's time to get to the front.

Shiranui Genma played heads, Tsunade played tails, one head and one tail, Tsunade lost 2000 taels.

Tsunade exhaled immediately, and threw the coin directly on the table: "No more gambling. Mute, what's the result?"

Jing Yin took a small book and looked at it, her face gradually showing surprise: "320 rounds have been played, you have won 162 times, and Xuanjian has won 158 times. But Xuanjian has won you... 4 taels!"

Tsunade looked unacceptable, and couldn't help but support his forehead and said: "Why is this happening, why do I win so few times of 3000 taels? Is it true that I must lose every bet?"

"Of course not." Shiranui Genma smiled slightly, and put away the coins casually.

"As long as you are in your position, no matter who comes to play this game, if you play more times, you will definitely lose in the end."

Tsunade frowned and couldn't help but ask, "Why?"

Shiranui Genma: "It's a simple math problem. When the coin is drawn, as long as I guarantee that I get three heads every eight times, after the number of times increases, I will definitely win money."

Tsunade became more and more confused, his brows furrowed.

Shiranui Genma continued: "You know relatively little about relevant mathematics, so it may be a little troublesome to understand."

"I cite this example just to illustrate that many gambling games that seem to be [-]-[-] are actually hidden traps. Gamblers who fail to find a flaw and are unwilling to stop in time will inevitably go bankrupt in the end and lose everything... ..."

Unexpectedly, Tsunade slapped the table and looked straight at him: "No, you have to explain to me clearly! Why do you always win money from me as long as you get three heads every eight times?"

"..."

Shiranuo Xuanjian hesitated, then organized his language a little bit, and said slowly: "There are two key points in this game, one is the bonus setting, if the bonus in the three situations is not set at three to one to two, the situation will be different."

"The second point is that this game is a coin, not a coin toss. The heads and tails of the coin toss are completely random, and the frequency of the heads and tails of the coin can be controlled by humans."

"By controlling the frequency of heads and tails of the coin, although I cannot affect the probability of winning or losing, I can affect the type of winning or losing, or more generally speaking, affect the quality of winning or losing."

"For example, in the 320 rounds just now, you won 162 times, four times more than me, but in these 162 times, you only got 3000 taels 57 times, and the number of times you got 1000 taels was as many as 105 times, so overall your wins are of lower quality."

"Although I only won 158 times in total, I got 2000 taels each time, so in the final settlement, I won 4 taels from you."

Tsunade seemed to understand, and asked after thinking for a while: "I can also control the frequency of heads and tails, why must I be the one who loses?"

Shiranui Genma: "As long as I control the frequency of heads and tails of my coin within a certain range, all your adjustments will be meaningless."

"why?"

"This..." Shiranuo Xuanjian didn't know what to say.

In this world, most people's knowledge of mathematics is very shallow, and they can't even be called mathematics, they can only be called arithmetic.

Only a scientific madman like Orochimaru, or an elder with a very high level of knowledge like Mitomon Yan, would have a profound knowledge of mathematics.

Tsunade would lose every bet, obviously a math idiot, and Genma Shiranui wanted to explain it thoroughly to her, I am afraid it would not be an easy task.

But thinking of this, a bold idea suddenly appeared in Shiranui Genma's mind.

Even in the information-explosive world he lived in in his previous life, mathematicians would still form groups to use casinos, and even casinos would ban mathematicians.

In contrast, the gambling techniques in Naruto World are much simpler.

Therefore, Shiranui Xuanjian couldn't help but think that with his own mathematics level, if he went to a casino to gamble, he would be able to find some loopholes...

"Hello." Tsunade waved his hand, interrupting him from being distracted, "What's going on, please explain clearly."

"Hmm..." Shiranuo Xuanjian pondered for a moment, then straightened his expression, and said, "Okay, then I will explain it in detail until you fully understand it."

……

two months later.

A casino in the Country of Grass.

Shizune hugged Tonto, looking at Genma Shiranui and Tsunade who were sweating at the gaming table, with nervous and expectant expressions.

The atmosphere in the casino was lively and noisy, but most of the people gathered around the gaming tables of Genma Shiranui and Tsunade, not taking their eyes off it.

After a while, Shiranui Genma and Tsunade cheered: "Win!"

"Lost again!" The rest of the gamblers were filled with mourning, some simply left the game, some even covered their faces and cried, and the casino was full of chaos.

It has to be said that Tsunade is actually talented in gambling, but he has become a big fat sheep who has been slaughtered repeatedly because of the lack of a good teacher to guide him.

After Shiranui Xuanma opened the door to the new world for her, it took less than two months for her to comprehend by analogy and suddenly realize that she had completed a magnificent turn from a "big fat sheep" to a "gambling master". superb.

I returned from the casino with a full load, and I was very happy on the way back.

Tsunade also drank wine, his face was flushed, and the twin peaks surged while walking, which was spectacular.

Walking on the road, she held the wine bottle and laughed, then raised her hand and patted Genma Shiranui on the shoulder: "Zirai is right, you really are a talent!"

Shiranui Genma smiled, but said nothing.

There is no doubt that after two months of combining theory with practice, his plan to persuade Tsunade to quit gambling has completely failed.

But in any case, Tsunade, whose gambling skills have skyrocketed, will no longer be burdened with gambling debts. This can be regarded as saving a gambler in another way.

Immediately, Shiranui Genma suddenly thought that, seemingly unknowingly, he made Jiraiya more obscene, and Tsunade became more gambler...

"By the way, Tsunade-sama, I remember that you and Shizune were planning to go to Kusawa, right?" Shiranui Genma asked.

Tsunade was taken aback, then nodded, "I almost forgot about it. If that's the case, let's go to the "Ninja World's No. [-] Dangerous River" tomorrow." "

The next afternoon.

The three of Shiranui Genma came to the grass river on the border of the country of grass, to be precise, near the new Kannabi Bridge.

The new Shenwubi Bridge is a new bridge rebuilt after the Shenwubi Bridge was destroyed. Like the previous one, the new bridge is still long and wide, spanning the Haohao Cao River and becoming the hub of the Cao and Tu countries.

When there is no war, the bridge is full of traffic and people come and go, which looks quite lively.

Tsunade raised his eyes and looked at the mighty water of the grass river, and couldn't help sighing: "It's been a long time since I came here."

As she said that, she suddenly frowned, and looked at Shiranui Genma.

But I saw Shiranuo Xuanjian cut a wound on his hand, and then activated the psychic technique with blood on it.

Immediately after hearing a "bang", a white-footed albatross with a wingspan of ten meters and a body length of four meters appeared out of thin air.

"Wow—"

……

_______________________
ps (points are not counted in this paragraph):

A little bit about this coin game.

The first thing to say is that many people have not figured it out, this game is [coin out], not [coin flip].The front and back are controlled by yourself.

Let the probability of the main character be x, and the probability of Tsunade be y, both x and y are on [0, 1].

由此，主角每局的收入预期为【-3xy-（1-x）（1-y）+2x（1-y）+2y（1-x）】，单位为千两。

令该式＞0，得x∈（1/3，2/5），取3/8即可。

Substituting 3/8, it can be known that the protagonist’s income per game is expected to be 1/8 of the fixed value, and the unit is thousand taels, that is, 125 taels.

Therefore, as long as the number of times is enough, the average income of the protagonist in each round will inevitably approach 125 taels, and Tsunade must pay.

(`) It’s a very interesting little game. If you don’t calculate it, you can’t see the flaws. You might as well ask your relatives and friends to try (kēng) it.

Also.

Some people mentioned that Tsunade is "metaphysical luck", I think this is impossible.The big toad sage of Mount Miaomu is taller than Tsunade, and he talks and laughs happily with the sage of the Six Paths, but at best he can see some fragments of the future.

If Tsunade is strictly "losing every bet", then she is no different from a 100% prediction.As long as Mute bets the other way around, the two of them don't talk about making a fortune with Mute, at least they can do it without losing or making a profit, and it is impossible for them to be entangled in gambling debts in the original book. (According to Kishimoto, Tsunade's gambling debts are about the same as Jiraiya's property)
Moreover, if there is such a thing as "metaphysical luck", it is often difficult to make sense in terms of setting, unless such boundless things as "God (in the real sense)" and "law" are introduced.

(End of this chapter)