Saotome bit her lip and said unwillingly, "Although I really don't want to ask you for money, I still hope you can lend me 1,000,000 for now..."
Worried that her words might be misunderstood, she quickly clarified, "This 1,000,000 is not for our personal use, but as the casino's working capital. I will absolutely not use it without authorization!"
"Even if you did use it, I wouldn't say anything. I can't just watch you become livestock because you can't pay, can I?"
Ayanokoji said this while placing his backpack on the gambling table, taking out the bag of money Ayanokoji Fugang had given him from the backpack.
Looking at the thick stack of banknotes, Togakushi Yukimi's breathing became rapid.
The next moment, she couldn't help but exclaim, "Ayanokoji, since you're so rich, why were you only willing to put up 500,000 when gambling with me!?"
"Because you and this casino combined are only worth 500,000."
Ayanokoji shrugged indifferently, took out 1,000,000 from the stack, handed it to Saotome, and said softly, "Is 1,000,000 enough? I have more if it's not."
Why did that sound like he was offering to keep her...
"It's enough!" Saotome Meari blushed and quickly took the money from his hand.
Ayanokoji smiled and continued to ask, "So, have you thought of the most important gameplay for the casino?"
Just like the "trick" in a mystery novel, "gameplay" is the most crucial part of a small casino. It needs to be novel, not repetitive of other casinos, and have an engaging quality that attracts people to play.
For example, Togakushi Yukimi's Old Maid game was completely unqualified—no novelty, no fun. It's a wonder she managed to operate a casino for a year.
"Actually, I've already thought of a game." When it came to this, Saotome Meari's expression quickly became serious.
"A casino can have many games: Mahjong, roulette, poker, darts... But if you want to make money quickly, it needs to be like fast food, quick turnover, allowing more gamblers to try it.
Therefore, choosing dice is the best method."
Saotome said, taking three different colored dice from her pocket and throwing them onto the table.
These three dice were not only different in color but also had different numbers.
The black die had 3, 3, 4, 4, 8, 8. The white die had 1, 1, 5, 5, 9, 9. The red die had 2, 2, 6, 6, 7, 7.
"This is a game I created called [Three-Color Dice].
The rules are simple: guests who come to the casino first choose one die from the three, then the dealer, which is us, chooses one from the remaining two. Then both sides roll together, and the side that rolls a higher number wins."
"Is there anything special about these dice?"
Hanatemari curiously picked up a die, "The numbers on these are different, and it feels like there's a difference in strength too..."
Saotome Meari smiled mysteriously, "These dice are magic dice. If you want to know why, we'll find out by playing a round."
"You want to gamble with me?" Hanatemari Kazura was a little surprised.
Saotome nodded, "Of course, if I'm going to run a casino, I certainly won't be enough alone, so I hope you can help me. You also need to experience gambling firsthand."
"Meari needs my help? Of course I can!"
Hanatemari Kazura's eyes lit up when she heard this. She quickly nodded and raised the white die in her hand, "Then I'll choose this one!"
On the surface, the white die, with its highest number 9, was indeed very appealing.
"Then, I choose the red die." Saotome Meari picked up the red die.
"The guest rolls it themselves?" Hanatemari asked.
"Exactly, the guest rolls the dice. This way, it gives them the illusion that they control the outcome." Saotome Meari nodded confidently.
Hanatemari hesitated for a moment, then rolled the white die.
[5].
Saotome Meari also rolled her die.
[6].
"Too bad, I lost..." Hanatemari said with some regret.
"It's not over yet, let's go again." Saotome shook her head.
The two continued to roll.
Hanatemari rolled a [9], and Saotome Meari rolled a [7].
"Great, I won!" Hanatemari cheered.
Although she lost, Saotome Meari's expression didn't change. Instead, she turned her gaze to Ayanokoji Kiyotaka.
"Did you understand?"
"I see... Is it probability theory again?"
Ayanokoji stroked his chin and smiled, "That's really the kind of idea you would come up with, Meari. You really like math, don't you?"
It was unknown whether Saotome Meari's Three-Color Dice game was inspired by Mikura's dice game, but it was still related to mathematical probability.
[The black die has 3, 3, 4, 4, 8, 8. The white die has 1, 1, 5, 5, 9, 9. The red die has 2, 2, 6, 6, 7, 7. Find the winning probabilities between the three dice.]
This answer was much simpler than the expected value problem; even a middle school student could figure it out.
The winning probability of Red against White is five-ninths. The probability of Black against Red is five-ninths. The probability of White against Black is five-ninths.
"The idea of letting the guest choose the die first makes it feel fair, and it might even make them feel like they have an advantage. However, these three dice are like [Rock-Paper-Scissors], they mutually restrain each other. As the one who chooses second, you can pick the die with a slightly higher winning probability."
"Indeed, Ayanokoji, you can see through it."
Saotome Meari smiled bashfully, "This is a game where the more you play, the more you win."
"Although that one-ninth extra probability is small, as the dealer, we are always gambling money at the table. As long as we play enough times, we can ensure that we will never lose while also winning money."
"This is a game that is guaranteed to profit for us..."
Hanatemari Kazura also caught on. She applauded Saotome admiringly, "As expected of Meari, you thought of this game in just one night, that's amazing!"
Togakushi Yukimi, however, calmly pointed out a flaw.
"But, this math problem is too simple... Perhaps when they first encounter the dice, people won't notice, but after just a few games, they'll catch on and realize that our winning probability is higher."
"Actually, that's not really a problem."
Ayanokoji shook his head and said confidently, "When other casinos are cheating and maintaining high win rates, our casino clearly tells you that we won't cheat, and if you gamble, you have a four-ninths chance of winning."
"Compared to other casinos where you lose nine out of ten times, our casino has a pretty good chance of winning, wouldn't you say?"
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