Chapter 2285: Gotham Music Festival (Part 33)

The key is not these complex probabilities, but the number of cards drawn at the end. No matter how many complete flower cards you hold in your hand, you only draw 10 cards at the end, and it is a random draw.

In other words, even if you gather a Royal Flush in the card pool, it's useless if you break it all up when drawing cards at the end. The card type that determines the outcome is still a pile of high cards, so you can only win by comparing sizes.

The 10 cards drawn at the end are the key to victory. So, how can you draw the exquisite good cards from your card pool?

Just when Roman was still thinking about this question, he heard a crisp bell sound. The staff member next to him picked up a coin, ready to toss it.

With a clatter, the coin landed on the table, trident facing up, so the right side was God, and standing on the right was Roman.

Roman's hand tightened immediately. He could hardly hide his smile. From the rules, God's initiative was stronger. After all, he could decide the number of cards he sent. As long as he gathered a good hand, he could clear out the trash cards one by one, unlike the Believer who had to send three cards every round.

The Believer sacrificed first. He saw Bruce casually draw three cards from his pile 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 for this round, and one could see a glimpse of it from the size and suit of the cards he sent.

As expected, Bruce sent 2, 5, and 7, and they were all diamonds. It seemed he wanted to keep the flush, but didn't want Roman to have more straights, so he sent diamond high cards.

Having a slight understanding, Roman directly sent these three cards back along with a heart 3 from his hand. Of course, before sending, he pretended to shuffle the cards so Bruce couldn't see that it was the card he sent.

Bruce accepted everything without showing a surprised expression, and immediately picked out three more cards and placed them in the center of the table.

Roman picked them up and looked. This time it became 3, 6, and 8, and they were all spades. The spade 8 had value to keep because the number was relatively large, and because a heart 3 had been sent out before, receiving a spade 3 could complete the missing corner of 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 one out, the initial probability would be destroyed, and it would definitely decrease.

Although you would also receive cards and increase the probability of other flower cards, most of the cards received were small cards. It was very uneconomical to exchange the increased probability of small flower cards for the decreased probability of other flower cards.

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

Roman was triumphant. Now his cards had changed from heart 3 to spade 3, and he had an extra spade 8. So from a probabilistic point of view, his cards still basically followed the initial probability.

And starting from this round, he refused to accept all cards and sent one out every round. He could clear 9 small cards and basically keep the initial probability of other big flower cards unchanged, which was most advantageous to him.

Bruce didn't say anything, took back the cards he had just handed out, and waited for Roman to send cards. Roman naturally sent from small to big. To prevent Bruce from guessing his card order, he deliberately disrupted the order.

He sent one out, Bruce refused to accept. Immediately after, it was Bruce's turn to send cards. Bruce sent three, Roman refused to accept.

Then things fell into an awkward situation. They both sent cards and then both refused to accept. Just like that, three rounds passed, and they came to the 5th round.

Although Roman's cards were very complete now, Bruce's cards were the same, because they didn't exchange many cards at all, and basically both sides held complete poker decks.

Bruce just stood there silently, not even looking at Roman. Roman's eyes glanced to the side, and cold sweat instantly came down.

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

"I don't know why you want to gamble with me?" Bruce shook his head and said, "Do you think standing at a table means we are equal? Are you really that naive?"

Bruce sighed, as if he were worried for Roman. He said, "So what if I lose? What dare this ship do to me? What dare the person 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 prison, but anyway, the person who fished you out must want you to hit me hard. I can accompany you through ten rounds like this, and in the end, it's all up to luck. It's just a game, I can take it to try my luck, I don't care about winning or losing. What about you?"

Roman's hands supported on the table tightened again. Although he didn't want to admit it, he knew Bruce was right. If they stayed in this stalemate, although the odds were equal on the card face, the situations they faced outside the game were different, which was a chronic death for him.

Bruce could afford to lose, but Roman couldn't. Besides the fact that the person who brought him here wouldn't allow him to fail like this, even if he failed and didn't hit Bruce, even if he could survive, Bruce obviously wouldn't let him go. He not only couldn't lose, but he had to win.

If this continued, after the next five rounds, with both sides having similar odds, it would be pure luck to draw 10 cards.

Then the question came: if Roman's luck was better than Bruce's, how come Bruce was still the world's richest man, while he had become a prisoner?

Bruce yawned and said, "This game made me sleepy. How about this, you give me three cards, I accept three cards, next time I will give you three cards. If I accept two cards, next time I will give you two cards. The same goes for the other way around."

Roman was thinking. He knew Bruce had seen through his weakness of not being able to afford to lose, so no matter what he said, it was difficult to shake Bruce. But the current situation was disadvantageous to him. If he didn't make changes, he would be in big trouble.

The initiative was in Bruce's hands, so he could only accept the conditions Bruce proposed, so he nodded and said, "Then let's do it."

They only had five rounds left. If they exchanged three cards 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 victory or defeat.

Roman firmly adhered to his plan. Bruce sent three cards over, and he took the ones he didn't have to complete his cards, sent the rest back, and filled 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 over became larger and larger. At first, they were just some large numbers, and later JQK also started to be sent out.

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

Then, under permutation and combination, the probability of a Royal Flush would be higher. Taking a step back, the probability of a big card straight flush would also be higher. Even if it didn't reach the top, a straight flush like Q, J, 10, 8, 9 was almost invincible.

Moreover, with 6 of each suit, it would be easy to draw three-of-a-kind, which was three cards with the same number. If a letter three-of-a-kind appeared in 10 cards, the probability of winning would be greatly increased.

Then Roman began to think about why Bruce wanted to do this.

But the pressure made him unable to care about so much. He only 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. If he wanted to take all three, he had to give out three cards every round.

Roman weighed it. Since he already had so many big cards, why not make big cards? Just give away all the small cards.

"Why does he want to do this?" The man wearing the Megalodon mask questioned again, "Why 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 area looked at him, but Stark shook his head and said, "I'll explain after it's revealed."

After five rounds of card swapping, Roman looked at a neat hand of big cards in disbelief. Almost all the small number cards had been kicked out by him.

He silently counted the number of big flower cards in his hand, thinking that as long as he could draw a few combinations, he would win for sure, such as a straight flush, or a three-of-a-kind of K and Q, or 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 hand now was at least three times higher than the basic probability. After all, with more identical cards, the probability of drawing certain combinations was higher.

Thinking this way, he sorted the order of the cards, watched his and Bruce's cards all put into the machine, and had this strange shuffling machine draw 10 cards each to flip.

The flipping was done simultaneously, meaning both flipped the first card at the same time, and then flipped the second card at the same time.

After Roman's first card was revealed, his heart immediately jumped to his throat, because his first card was a spade K, which was a quite big card, but this was normal, after all, his hand didn't have many small ones.

Then it was a spade 10. Roman felt his heart thumping, because now he had a chance to make a Royal Flush, which was spade 10, J, Q, K, A.

The third, fourth, and fifth cards were spade 10, diamond 9, and heart J. Now Roman had 9, 10, and J, completing half of the straight.

Immediately after, it was spade 8, heart K, heart 6, club Q, and diamond 10.

In other words, Roman now had a straight of spade 8, diamond 9, spade 10, diamond J, club Q, spade K. The remaining high cards were 10, 6, 10, K.

This hand was already quite big. Not only did the straight reach K, but the high cards were also big. If compared in order, the priority was quite high.

And at the same time, Bruce's cards were also flipped.

Heart 2, club 5, club 7, club J, spade 9, diamond 3, club 3, club 4, club 6, diamond A.

Bruce won with a club straight flush of 3, 4, 5, 6, 7.

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

Two decks of poker cards totaled 108 cards. Excluding 4 jokers, there were 104 cards left, meaning 26 of each suit.

If Roman only had four clubs here, it proved that Bruce had 22 clubs, accounting for nearly half of the 54 cards.

Roman looked carefully again. He had 15 diamonds, meaning Bruce had 11 diamonds, and Bruce's spades and hearts added up to only 19, 10 spades and 9 hearts.

In other words, the probability of Bruce drawing clubs, diamonds, spades, and hearts was about 22:11:10:9. The probability of drawing the most club cards was about 0.42.

While Roman's probability of drawing diamonds, hearts, and spades was between 0.2~0.3.

Stark spread his hands and said:

"He forgot the most important thing: a straight flush is absolutely bigger than a straight."

"The guy on the right has a lot of big cards, it's true, but the probability of the three suits is equal, so the probability of forming a flush is small. And the guy on the left, although he has a hand of small cards, the probability of drawing clubs is greater than drawing any other card, and small cards are not lacking in points, so he can form a straight flush with a greater probability while forming a straight."

"Even if he's unlucky and can't draw a straight flush, he can at least draw a flush, and a flush is bigger than a straight, so I said that guy is bound to lose. He was completely misled by the other party."

"This is the simplest suit probability problem. You don't need to consider the number size at all. The greater the probability of drawing the same suit, the greater the chance of winning."

"The guy on the left first gave enough pressure to make the other party feel that he must win, and then released big cards. The purpose was to interfere with the other party, making the other party only want to desperately make big cards to gamble, and he couldn't notice that the probability of his suit was manipulated."

Stark pointed at Bruce on the left and said.

"He is like all dealers, first putting pressure on the other party, making the other party desperately crave victory, then giving the other party a little sweetness, making him addicted to the illusion of victory. After losing his mind, he cannot make clear calculations, and finally falls into the simplest rules."

"The greater the pressure, the heavier the gambling nature, the more you want to make big cards, the more crazy you become, the less clear you are, the more you lose—this is the eternal curse of gamblers." ===== CHAPTER 2286 =====