Chapter 2301 Gotham Music Festival (33)

Chapter 2294 Gotham Music Festival (33)

The key is not these complex probabilities, but the number of cards you draw in the end. No matter how many complete flower cards you have in your hand, you will only draw 10 cards in the end, and they are drawn randomly.

In other words, even if you get a royal flush in the deck, it is useless to open all the cards when you draw the cards in the end. The cards that determine the outcome are still a bunch of scattered cards, so you can only win by comparing the size.

The last 10 cards you draw are the key to victory or defeat, so how can you draw the exquisite cards in your deck?

Just as Roman was still thinking about this problem, he heard a crisp bell, and the staff next to him picked up the coin and prepared to toss it.

With a clang, the coin fell on the table, and the trident was facing up, so the right side was the god, and the person standing on the right was Roman.

Roman's hand tightened immediately, and he could hardly hide his smile. Judging from the rules, the gods were more proactive. After all, they could decide the number of cards they sent. As long as they had a good hand, they could clear the junk cards one by one, unlike the believers who had to use three cards every round.

The believer made a sacrifice first. He saw Bruce casually draw three cards from his pile of cards and put them in the middle of the table. Roman reached out and took the three cards.

He had to see what Bruce's strategy was in this round, and the size and suit of the cards he sent could tell.

As expected, Bruce sent 2, 5, and 7, all of which were diamonds. It seemed that he wanted to keep a flush, but he didn't want Roman to have more straights, so he sent a scattered card of diamonds.

With a little understanding, Roman directly sent back these three cards along with a 3 of hearts in his hand. Of course, he pretended to shuffle the cards before sending them, so that Bruce could not see that they were the cards he sent.

Bruce accepted all the cards without showing any surprise. He then picked out three more cards and placed them in the middle of the table.

Roman picked them up and saw that this time they were 3, 6, and 8, and all of them were spades. The 8 of Spades was worth keeping because it had a larger number, and because he had given away a 3 of Hearts before, if he took another 3 of Spades, he could make up for the missing corner of the 3.

That's right, Roman believed that the initial card type was actually the most stable. In this case, the probability of all flower cards followed the initial probability, and unless you could only receive and not send, as long as you sent out one, the initial probability would be destroyed and would definitely decrease.

Although you would also collect cards and increase the probability of other flower cards, most of the cards you collected were small cards. It was not cost-effective to increase the probability of small flower cards in exchange for a decrease in the probability of other flower cards.

Roman sent back the extra 6, only one this time, and Bruce still took it. When Bruce took out three cards again, Roman said, "I refuse."

Roman was very proud. Now his card was changed from 3 of hearts to 3 of spades, with an extra 8 of spades. So from the perspective of probability, his cards still basically followed the initial probability.

From this round, he refused all cards and sent one card in each round. He could clear 9 small cards and basically keep the initial probability of other big flower cards unchanged, which was the most advantageous for him.

Bruce said nothing, took back the card he had just handed out, and waited for Roman to send a card. Roman naturally sent from small to large, and in order to prevent Bruce from guessing his card sequence, he deliberately disrupted the order.

He sent one card, Bruce refused to take it, and then it was Bruce's turn to send a card. Bruce sent three cards, and Roman refused to take them.

Then things fell into an awkward situation. They both sent cards and then refused to take them. After three rounds, it came to the fifth round.

Although Roman's cards were complete, so were Bruce's cards, because they had not exchanged many cards at all, and both sides basically held complete cards.

Bruce stood there in silence, not even looking at Roman. Roman glanced to the side and broke out in a cold sweat.

Bruce kept shuffling the cards in his hand, fiddling with the coins on the table, and occasionally looking back at the time, looking bored.

"I don't know why you want to bet with me?" Bruce shook his head and said, "Do you think that standing on the same table, we are equal? ​​Are you really so naive?"

Bruce sighed, as if he was worried about Roman, he said: "What if I lose? What can this ship do to me? What can the people behind you do to me? Either spend some money or spend some time, it can always be settled."

"I don't know how you got out of jail, but anyway, the person who rescued you must want you to hit me hard. I can accompany you through ten rounds like this, and the final result depends on luck. It's just a game, I can use it to try my luck, and I don't care about winning or losing. What about you?"

Roman clenched his hands on the table again. Although he didn't want to admit it, he knew that Bruce was right. If the stalemate continued, although the probability on the cards was equal, the situations they faced outside the game were different. This was a slow death for him.

Bruce can afford to lose, but Roman can't. The people who brought him here won't allow him to fail like this. Even if he fails, it won't hit Bruce. Even if he survives, Bruce will obviously not let him go. Not only can he not lose, he must win.

If this continues, after the next five rounds, when the chances of both players are similar, it will all depend on luck to draw 10 cards.

Then the question is, if Roman's luck is better than Bruce's, how come Bruce is still the richest man in the world, while he has become a prisoner?

Bruce yawned and said, "I am tired of playing this game. How about this, you give me three cards, I take three cards, and next time I will give you three cards. If I take two cards, next time I will give you two cards, and vice versa."

Roman was thinking. He knew that Bruce had seen through his weakness of not being able to afford to lose, so no matter what he said, it would be difficult to shake Bruce, but the current situation was not in his favor. If he did not change, he would be in big trouble.

Bruce had the initiative, so he could only accept Bruce's conditions, so he nodded and said, "Then let's do it."

They only had five rounds left. If they had three cards in each round, they would have to exchange 15 cards with each other. This was not a small number, and it could completely affect the probability and even determine the final win or loss.

Roman firmly adhered to his plan. Bruce sent him three cards, and he took the cards he didn't have to complete his cards, sent the rest back, and made up for the insufficient number with small cards.

What surprised Roman was that Bruce didn't send the small cards back, and even the cards he sent became bigger and bigger. At first, they were just some big numbers, and later JQK began to be sent out.

Roman was ecstatic to get the big cards. He began to calculate in his mind that these big letters were originally four cards of each suit, and if he could get two more cards of each suit, it would become 6 cards of each suit, a total of 24 cards, and the probability of drawing these cards would be greatly increased.

Then under the permutation and combination, the probability of a royal flush is high, and stepping back, the probability of a big flush is also high. Even if it is not the top, a flush with Q, J, 10, 8, 9 is almost unbeatable.

What's more, with 6 cards of each suit, it's easy to draw a leopard, that is, three cards with the same number. If a pair of letters of the leopard appears in 10 cards, the chance of winning will be greatly increased.

Then Roman began to think about why Bruce did this.

But the pressure made him not care about so much. He just wanted all the big cards in Bruce's hand, but according to the rules they set before, he had to give three cards if he took three cards. If he wanted to take all three cards, he had to give three more cards in each round.

Roman weighed it up. Since he already had so many big cards in his hand, why not make a big card? Just give away all the small cards.

"Why would he do that?" The man wearing the Megalodon mask questioned again, "Why would he give all the big cards to others?"

Stark sighed again and said, "The guy on the right has already lost."

He was referring to Roman, and everyone in the VIP seats looked at him, but Stark shook his head and said, "I'll explain it after it's revealed."

After five rounds of cards, Roman looked at his neatly arranged big cards in disbelief, and almost all the small number cards were kicked out by him.

He silently counted the number of big flower cards in his current hand, thinking that as long as he could draw a few combinations, he would win, such as a straight flush, or a leopard with K and Q, and even a royal flush.

Although Roman was not as smart as Bruce, he could at least calculate the probability of drawing various combinations. He found that his current hand of cards was at least three times the basic probability. After all, the probability of drawing certain combinations would be greater if the same arrangement was repeated more often.

Thinking this way, he sorted the cards in order, watched as he and Bruce's cards were all put into the machine, and the strange shuffling machine took out 10 cards each to turn over.

The turning over was done simultaneously, that is, both of them turned over the first card at the same time, and then turned over the second card at the same time.

After Roman's first card was revealed, his heart immediately rose to his throat, because his first card was the King of Spades, which was a very large card, but this was normal, after all, he didn't have a very small card in this hand.

Then came the Ten of Spades, and Roman felt his heart pounding, because now he had a chance to make a royal flush, which was the Ten of Spades, Jack, Queen, King, and Ace.

The third, fourth, and fifth cards were the Ten of Spades, the Nine of Diamonds, and the Jack of Hearts, respectively. Now Roman had 9, 10, and Jack, completing half of the straight.

Next came the Eight of Spades, the King of Hearts, the Six of Hearts, the Queen of Clubs, and the Ten of Diamonds.

That is to say, Roman now has a straight of 8 of spades, 9 of diamonds, 10 of spades, J of diamonds, Q of clubs, and K of spades, and the remaining scattered cards are 10, 6, 10, K,.

This hand is already quite big, not only the straight to K, but also the scattered cards are big. If we compare them in order, the priority is quite high.

At the same time, Bruce's cards have been turned over.

2 of hearts, 5 of clubs, 7 of clubs, J of clubs, 9 of spades, 3 of diamonds, 3 of clubs, 4 of clubs, 6 of clubs, A of diamonds.

Bruce wins with a straight flush of 3, 4, 5, 6, 7 of clubs.

Roman stared at these 10 cards in disbelief, then he rushed to the machine like crazy to take back his cards, and searched the entire deck, only to find four clubs.

There are 108 cards in two decks of playing cards, and excluding the four big and small jokers, there are still 104 cards left, which means 26 cards of each suit.

If Roman only has four clubs, it means Bruce has 22 clubs, which is a small half of the 54 cards.

Roman looked more carefully and found that he had 15 diamonds, which means Bruce had 11 diamonds, while Bruce's spades and hearts added up to only 19, 10 each and 9 each.

In other words, the probability that Bruce draws the club, diamond, spade, and heart is about 22:11:10:9, and the probability of drawing the most club card is about 0.42.

Roman's score is 4:15:16:17, and the probability of drawing diamonds, hearts, and spades is between 0.2 and 0.3.

Stark spread his hands and said:

"He forgot the most important thing, a flush is definitely better than a straight."

"It's true that the one on the right has a lot of big cards, but the three suits have equal probabilities, so the probability of getting a flush is small. Although the one on the left has a small hand, the probability of drawing a straw flower is higher than that of any other card. The probability is high, and the small cards are not bad, so you can make a straight and have a greater chance of making a flush.”

"Even if you are unlucky and don't get a straight flush, you can at least get a flush, and the flush is bigger than the straight, so I said that guy will definitely lose. He is completely confused by the opponent."

"This is the simplest suit probability problem. There is no need to consider the size of the numbers at all. The greater the probability of drawing the same suit, the greater the chance of winning."

"The guy on the left first puts enough pressure on the opponent to make him feel that he has to win, and then releases the big cards. The purpose is to disturb the opponent and make the opponent just want to bet on the big cards and not even notice that the probability of his own suit has been manipulated. ”

Stark pointed to Bruce on the left and said.

"Like all bookmakers, he first puts pressure on the other party, making the other party eager to win, and then gives the other party some sweetness, making him indulge in the fantasy of victory. After losing his mind, he cannot make clear calculations. Finally, Fell into simple rules that cannot be simpler.”

“The greater the pressure, the heavier the gambling urge, the more you want to make it big, the crazier you become, the less sober you become, and the more you lose – this is the eternal curse of a gambler.”

The game is self-created. It is quite interesting to play a few games with friends. The probabilities are reflected very accurately, and there is also the pleasure of drawing ten consecutive cards. You can try it.