At this time, Leon took a deep breath, and then his expression was serious, and he gradually fell into deep thought.

If you want to finish Level 6, you must start reasoning from the time you enter the 13-star dungeon.

Before entering the dungeon, Leon had a hearty late-night snack.

The energy provided by the supper was enough for Leon to last for seven days.

"My body's hunger limit is seven days!"

"But the problem is that it takes me time to go from the first level to the sixth level. I am afraid that the time consumed is not synchronized with the time in the outside world. ”

"I can only calculate the time consumed from the first level to the sixth level in 18~24 hours."

"If that's the case, then I'm feeling a little hungry right now, which is the sixth day in the sixth level, plus the time spent in the first level to the sixth level of about 1 day, adding up to a total of 7 days."

"These seven days are the limit time for my body to feel hungry."

Leon dragged his chin, his face contemplative, and continued to analyze in his heart: "The starting point of the 'Sleep Paradox' is [Sunday], no matter how many times I am awakened in the middle, no matter how many memories I have lost, it is never the most important thing. Six days from Sunday to Saturday, so today may not be Monday, but Saturday! ”

Thinking about this, he spent another 2 minutes trying to figure out the answer that today was Saturday.

Sensing that nothing was missing, he accepted the idea.

Then, his mind drifted to the rules themselves.

He closed his eyes and summoned the two warm reminders in his mind.

[Tips: You must answer the question of 'Rule 1 ~ Rule 3', otherwise you will be wiped out!] 】

[Tip 2: Is what you think is really what you think?] 】

"Rule 1: What is the probability that the coin will be face up."

"Rule number two: What is the probability that the coin will be face up?"

"The probability of a coin facing up is necessarily 1 in 2. The probability of a coin being face up must also be 1/2! ”

"No, it's a bit of a problem, the angle of reference seems to be different, is this 1/2 what I think or what the magician thinks?"

"And this 'sleep paradox' should not be viewed in isolation, for example, when people from the outside see that I will answer all the correct answers when I wake up?"

"1: When the coin is positive, the magician asks me once, and the probability that I answer correctly is 1/2!"

"2: When the coin is reversed, the magician asks me twice, and the probability of my correct answer each time is 1/2, so my correct probability + the number of times the magician asks - 1/2 + 1/2 = 1/4!"

"Next is the plus and back of the coin - 1/2x1/2+1/2x1/4=3/8!"

"Through this, it can be found that when the coin in the magician's hand is face up, the more times he asks questions, the lower the accuracy rate will be, and when the magician asks me close to infinity, the accuracy rate is close to 1/4!"

With a problem solved, Leon opens his eyes and is plunged into a new one.

I saw him ask himself in his heart with a confused face:

"If you use the Bayesian formula——, it is used to describe the relationship between the probabilities of two conditions."

"Then Bayesian probability can also be applied to the objective event that has already taken shape, that is, the thing that has happened to me."

"It's an estimate of what has happened in the past, and I woke up that it happened after a coin toss."

"Therefore, the result obtained by Bayesian probability is 1/3, and classical probability has no chronological order, and depends entirely on objective laws, and is not subject to the subjective will of me and the magician."

"If you use classical probability, the answer will be 1/2."

"Now that I'm a comatose and in the middle of an experiment, I should use Bayesian probability, which will be more beneficial to me!"

"But the problems came one after another, and I felt that this paradox could not be solved simply by Bayesian formulas."

"The 'Sleep Paradox' takes the limit case, that is, the limit case that is thrown on the opposite side and does not wake me up, and the limit case cannot be simply equated with the original problem."

"The core of the problem is that no matter which side the mage tosses the coin on, I wake up, and for me, every time I wake up for the first time, because I keep losing my memory."

"Since they only wake up once, why isn't the probability 1/2?"

Lyon used a variety of mathematical formulas, both subjective and objective, to solve the problem.

He got three answers -

1/2、1/3、1/4！

Leon looked at the smiling magician with a blank expression, but he was complaining frantically in his heart: "WTF, among these three answers, is there really a correct answer?" ”

"These three answers will be known to anyone who has studied some mathematics."

"What's more, the magician in front of them, and even the smart people in this sixth level world, how could they not think about it?"

There was an intuition in Leon that all three of these answers were argumentative, and that there were no accurate single answers!!

Suddenly, Leon's face was serious, and his brow furrowed.

He took into account [Tip 2: Is what you think is really what you think?] 】。

"If I list my previous 'thoughts' and my current 'thoughts', then I can refer to and solve [Warm Tip 2]!"

"[Before], I thought it was Monday because I thought I was hungry. But as I thought about it further, I started at the beginning of the 13-star dungeon and entered the sixth level to recalculate the specific time and how hungry I was: slightly, and in the end I came to a completely different conclusion than [before] so I thought, and it turned out that today was Saturday! ”

"Earlier, I worked out three answers to the 'Sleep Paradox,' and if I were to answer the questions of rule 1 and rule 2 with one answer at random, I'm not sure."

"And [Reminder: You must answer the question of 'Rule 1 ~ Rule 3', otherwise you will be wiped out! 】”

"If you follow the hint, then you can switch it."

"Previously, I thought it was necessary to answer the three questions of 'Rule 1' ~ 'Rule 3', otherwise it would be obliterated."

"Now I think that the first two rules 1 and 2 ask me about the probability of heads and tails of a coin that seems to be unanswered, because it has no definite answer."

"I just need to answer [Rule Three: What day of the week is it when I wake up]!"

There is also a date in the paradox summary that is worth pondering: [Sunday], combined with the summary in the paradox, combined with [Warm Tip 2: Is what you think is really what you think? 】”

As the chain of ideas ended, Leon's eyes suddenly lit up, and his eyes flashed with enthusiasm.

"Mr. Magician!"

Uncle Magician curiously observed Leon's surprised look on his face, feeling a little curious, "Look at your expression, do you know the truth?" ”

I saw the corner of Leon's mouth smile uncontrollably, "Yes." ”

The magician asked, "What is the probability of heads and tails of a coin?" ”

Leon shook his head slightly, "I'm not going to answer you that question. ”

The magician frowned, "Are you serious, not afraid of death if you don't answer the question?" ”

Leon's gaze met that of the magician, and he said in a resolute tone, "Yes, I am not afraid, and I will not answer your question about the heads and tails of the coin. ”

Seeing Leon so resolute really aroused the mage's curiosity, "Why? ”

Leon responded: "There is no specific answer to this paradox, 1/2, 1/3, 1/4, these are not answers, and the answers are different from the perspective of each observer. So, I'm not going to respond to your question about heads and tails of coins, and the three numbers I just gave are not the answer! ”

He was worried that the three numbers he blurted out just now would be mistaken for the answer by the rules, so he specially explained.

Fortunately, the rules do not recognize Lyon's answer as final!

Hearing this, the magician's face was serious, and he could see that Leon was really not prepared to answer the question of the coin.

After thinking for a moment, the magician sighed, "Well, since you insist on thinking so, I won't be embarrassed anymore." So, one last question: today, what day of the week! ”

I saw Leon suddenly grinning, "Today, yes, week..."

Watching this scene, all the beautiful country audiences looked solemn and subconsciously clenched their fists, for fear that Leon would answer wrong.

At this time, the camera is also locked on the magician's face, and I saw a subtle smile on his face.

He was sure that Leon would definitely answer wrong, and if Leon answered incorrectly, then he would have the opportunity to kill Leon using dark magic and finally become the owner of the castle, and it would not be in vain for him to travel thousands of miles to make a gamble.

Just when the magician realized that he was sure of victory, Leon's answer instantly shocked everyone!

"Today, yes, Sunday!"