015 Zhiduoxing dragon boat dice turn

Liangshan heroes are the first good martial arts, and the second is a good gamble. For example, Li Kui is addicted to gambling like his life, and if he doesn't kill people, he will itch, and only gambling temporarily makes him forget to kill people. Since he was blind in his left eye and crippled in his right ear, his desire to kill and gamble has become stronger. Li Kui often dragged Liu Tang, Shi Qian and the Ruan brothers to gather for a gamble. Liang Shanbo gambling became popular, Song Jiang was furious, and sanctioned several times, but the effect was not good.

Wu Yong said: "Brother, banning gambling is similar to controlling water, and it is better to channel the blockage." Let's just fight poison with poison and let go of gambling. All gamblers are afraid of winning, and the money is gone, and gambling is banned. ”

The next morning, a notice was posted on the gate of Zhongyi Hall:

From now on, Liangshanbo will have a three-day holiday, and 108 will be able to gamble on dragon boats or tiger boats. The bet is as follows: the gambler pays 10 taels of silver each time, and then rolls three dice at the same time. Gamblers can only bet one point at a time, such as "6" (the remainder are similar). If there is a "6" point in the three dice, the dealer will return 10 taels of money and lose 10 taels of silver; out of two "6" points, return 10 taels of betting, 20 taels of silver; Out of three "6" points, in addition to the return of the bet, the loss of 30 taels of silver. Good luck is a once-in-a-lifetime event, and it doesn't wait for it to expire.

Bankers: Song Jiang, Wu Yongqi

Everyone cheered, and Li Kui jumped even higher. This black whirlwind has two hobbies in his life: killing people and gambling. How can you not be happy about openly letting you gamble!?

"Bet that it's turned upside down, and people are turned upside down. Long live Brother Song Jiang! Wu Yong's elder brother Chichitose! Li Kui shouted.

"Is the head of the military advisor watered? - If you continue to gamble like this, you have to lose all your old bottoms! Zhu Wuzhi shook his head.

"Zhu Wu, what are you doing so much? Brother Song Jiang and Brother Wu Yong, let us get rich, let's make a fortune! - I've gone back to fetch the money. Li Kui jumped and ran away.

"Zhu Wu, can you really win?" Li Zhong asked.

"Winning or losing is a common thing in gambling. It doesn't matter if it's a win or a loss, play it! Lu Zhishen also ran back to get the silver.

"Li Zhong, if you bet on '6' points, one dice out of '6' points may be one-sixth, two out of '6' points may be one-third, three out of '6' points may be one-half. In this way, you can win 5 times out of 10 bets to protect your capital; If you make 2 or 3 '6's 10 times, you're sure to win! Zhu Wu analyzed it well.

"Zhu Wu, you deserve to be called a 'Divine Machine Military Master'! This time, the 'Zhiduoxing' military division is going to miscalculate! Li Zhong grabbed Zhu Wu's hand and shook it twice, and also ran back to get the silver.

Song Jiang was very panicked when he heard this, ran into the hall, and told Wu Yong Zhu Wu's words.

"Brother, don't worry, don't be afraid! Zhu Wu only knew one thing, but he didn't know the other. Just wait for the cashier! ”

Wu Yong set up three gambling tables in the dragon boat, and let people who love gambling board the boat first. Li Kui took the lead, followed by Liu Tang, Shi Qian, etc., and soon formed a circle. A tall and handsome colonel at each table is the owner of the village. On each table, there is a pile of "gold mountains" and three piles of "silver mountains". Wu Yong and Song Jiang walked around to watch.

Li Kui bet 10 taels of silver, threw the three dice into the bamboo tube, shook them a few times, and poured them on the table.

"A '6' point. 10 taels of silver have been won! Li Kui clapped his hands.

Another roll came out with 3 "6s". This time I won 30 taels at once.

"Strategist, I'll put it. You won 40 taels of hard work, and you have to win all your gold and silver mountains in three days! Li Kui laughed

Song Jiang was shocked, his face changed abruptly, if this continues, the banker's money will soon be lost.

Wu Yong shook the fan and said quietly: "Tie Niu, you have the ability to win." If you lose your pants, you're a bare fart. Don't complain. ”

Li Kui laughed: "It's definitely not me who loses, it's you and Brother Gongming." If you run out of pants, I'll lend you my shirt and carry your ass. Share. Otherwise, they will be laughed at by the brothers. ”

When people saw that Li Kui had won, they all bet boldly. Li Kui gambled for three days and three nights, lost all his 1,000 taels of silver, and lost all the 700 taels he borrowed.

"Strategist, there's a ghost in your dice?" Li Yan took out the plate axe and split dozens of dice, none of which were canned lead.

"Why am I so unlucky!" Li Kui let out a long sigh.

Outside the dealer, all of them lose, and the heroes of Liangshan talk about gambling changes, but they are still not convinced, and they want to find a chance to gamble again.

Li Kui: Is it bad luck for them to lose money? Is Wu Yong a ghost? Neither. So, what's the crux of the problem? Zhu Wu's analysis sounds like a head, but in fact, there are big loopholes.

The reason why Wu Yong was able to win was that the game he set up looked very fair, even in favor of the money bettor, and in fact it was always the banker's profit. Because the deceptiveness of Wu Yong's gambling is very hidden, this mystery can only be solved by in-depth and meticulous research and rational analysis.

Song Jiang was very puzzled in the face of Jinshan Yinshan.

Wu said with a smile-

Brother Gongming, let's calculate, what will happen if three dice are rolled together?

The first coin has 6 possibilities, and for each of its outcomes, the second coin has 6 possibilities, and the same is true for the third coin, so there are 6×6×6 = 216 possible outcomes.

Of the 216 possible outcomes, the three coins with different numbers may be 6×5×4 = 120. There are only 6 types of three coins with the same number, i.e. "1", "2" 、...、 "6". The remaining 216-120-6 = 90 possibilities are two out of three with the same value.

Let's assume that Li Kui always bets on "6" points (and the other points are the same), so let's see what happens when he bets 216 times? Let's start with the case where only one of the "6" appears: the dice with the "6" may be the first, the second or the third, a total of 3 possibilities; The other two coins have 5×5=25 possibilities without a "6", so there are a total of 3×25=75 possibilities.

When these 75 kinds may appear, Li Kui can get silver (principal and Zhuang compensation): 20 taels× 75 = 1500 taels. Let's look at the possibility of two "6" points: it can appear in the first and second, the first and the third, the second and the third, and there are three possibilities; There are only 5 possibilities for another dice not to have a "6", so there are 15 possibilities in total. At this time, Li Kui can get 30 taels of silver each time, a total of 450 taels. In the end, there was only one possibility that all three appeared "6" points, and at this time, Li Kui got 40 taels of silver.

In this way, 216 times Li Kui won a total of silver: 1500 + 450 + 40 = 1990 taels. 1990 taels of silver is really a lot, but don't forget that each payment is 10 taels, and 216 times is 2160 taels. So, generally speaking, he will lose 2160-1990=170 taels.

Li Kui is a person who is addicted to gambling, and after gambling for three days and three nights (72 hours) in a row, he will definitely lose a lot of money. Suppose he bets 30 times in half an hour (1 hour), he bets a total of 30×72 = 2160 times. It is easy to calculate that Li Kui will lose 1,700 taels of silver. If there are 100 people in Liangshan who gamble, the number of bets per capita is half of Li Kui's, and each person will lose 850 taels of silver, and 100 people will be 85,000 taels......

Brother, don't worry. We will never make a profit.

Song Jiang is overjoyed!

- Please see the next time: 016 heroes tiger ship silver sprinkle