"Houli Crab, Leon's solution directly transcends this paradox itself!"

"It's inconceivable that Leon's solution is completely different from Jiang Zhe's, Jiang Zhe adopts logic and mathematics, while Leon focuses entirely on philosophy!"

"What Leon did was an ending I didn't expect at all, it's amazing!"

“...”

Leon's previous trial expedition made the host crazy, but fortunately, Leon was able to handle it well, and made a series of chain choices at the moment when the host finally opened the middle door, and gave the exact reason!

It is these reasons of the philosophy department that make Lyon recognized by the host!

Recognition is on the one hand, and on the other hand, Leon is beginning to get acquainted with the paradox of the copy!

In the expert group, the experts led by Old John showed a stunned smile on their faces, and shook their heads again and again, expressing disbelief.

"Leon, Leon, how could you be so good?"

"Leon's speed is one step slower than Jiang Zhe at the second level, but his real strength is already in the same echelon as Jiang Zhe!"

"Philosophy, the solution of paradoxes, this copy is itself a paradox... Haha, interesting, interesting! ”

"The key is philosophy, which made Lyon change his choice and choose the red door with Ferrari!"

“...”

Old John looked at the big screen and couldn't help but breathe a sigh of relief.

......

At this time, the cat bear is domestic.

Ivan also stepped onto the stage, and faced a series of difficulties from the host, which he resolved one by one.

Ivan said with a resolute face: "I will temporarily choose the left red door!" ”

"Temporary... Well, your expression is so resolute, but you say words that are wavering and uncertain, what are the current candidates thinking in their heads? ”

When the host heard the word 'temporary', the corners of his mouth twitched helplessly.

"Is it really 'temporary' rather than a definite choice?"

"No, it's 'temporary.'"

"You're already going to choose the red door on the left, right?"

"Host, don't talk like that, I'm afraid that the rules will be misunderstood, I didn't choose 'already', but 'temporary'."

"Are you sure you want to do this?"

"Host, don't say the word 'sure', that's not what I meant, I'm afraid the rules will be misunderstood, do you understand?"

“...”

Under Ivan's series of stubborn words, the host finally compromised, turned around helplessly, and then opened the red door in the middle, without any accident, a black and white cow appeared in the red door in the middle, "The current candidate is really very deep in the city, I hope you don't be killed by your own city!" ”

Seeing this scene, the audience in the Bear Country looked worried, they had found out before that Jiang Zhe and Leon had been induced by the host's words, and they laughed very happily, until it was Ivan's turn, but the audience couldn't laugh.

Looking at this scene, Ivan closed his eyes and breathed a deep sigh of relief, "The first choice is not to choose Ferrari, which is a good start, the host has eliminated one door without Ferrari for me, and then there are only two doors on the left and right!" ”

At this time, the host in the black suit turned around, faced Ivan, and started the second link:

"Dear Mr. Ivan!"

"Now, are you going to change the red wooden door to the left of your previous 'temporary selection'?"

"If it changes, please say why—why."

"If you don't change, then your 'temporary choice' will automatically become your 'exact choice.'"

"And I'll open the red door you chose in the middle after you choose 'don't change your choice', is it a Ferrari or a black and white cow?"

"Of course, you can also tell the reason why you don't change, this is the choice that determines your life and death!"

"Please be careful, Mr. Ivan, you still have..."

Speaking of which, the host raised his left wrist to observe the time on his watch, and then said: "14 minutes, you have enough time to think about whether to change your choice!" ”

Hearing the host's time reminder, Ivan, who was tied to the white cross, closed his eyes, and his alarm clock was 33.3%, 50%, 66.7% and 100% after quickly thinking about [warm reminder].

33.3%, which is the probability of opening a door to get a Ferrari/black and white cow!

50% is the probability that after removing one door, the remaining two doors will get a Ferrari/black and white cow!

66.7%...

"What is the probability of 66.7%?"

"It seems to be the sum of the probabilities of two doors, the sum, why is there a probability of the sum?"

Ivan's brow furrowed at this, unable to comprehend.

100% is...

"What exactly is 100%?"

"Is 100% the probability of me clearing the level, or the probability of dying?"

Regarding this, Ivan still shook his head, indicating that he could not understand.

He knew in his heart that if he couldn't crack these 4 keywords, no matter how he chose next, even if he chose Ferrari's red door, he would not be able to say the reason later, and the ending would still be obliterated!

"Damn, reason, I lack a reason, I lack a reason to change the door next!"

"If I don't change doors, I'll have to give a reason."

"I can't choose 'not to change the door'!"

Looking at Ivan, whose face was gradually dripping with beads of sweat, the audience of the cat and bear country, the experts couldn't help but feel a tightness in their hearts, and people kept praying for it, and at the same time, the barrage surged.

"It's not good, Ivan doesn't know these two probabilities!"

"Damn, he doesn't necessarily need to know the probability, but he must give a reason to survive!"

Jiang Zhe used the probability of mathematics and logic, which shocked the host. Leon, on the other hand, was a little weaker and used philosophy to influence the host, but in the end, Leon still chose Ferrari and successfully passed the test. And our Ivan, it seems, really doesn't know how to break the game! ”

"How so, why can't Ivan also use philosophy?"

"Do you think Ivan is a philosophy student, he is a science student, this 13-star copy gives the Chosen One the status of 'philosopher', but did you see from Ivan's head that Ivan has the knowledge of the philosophy series?"

"Ah, since he is a philosopher, why doesn't Ivan have philosophical knowledge in his head?"

"Do you still need to think about it, the philosopher's identity is a lie by the rules, the Chosen have always been their identities in the real world, not the temporary identities given by the rules in the 13-star dungeon!"

"It's over, Ivan is probably going to be stuck here!"

"Anyway, I hope Ivan can solve the probability before the time is up!"

“...”

in-frame.

Ivan's eyeballs kept wriggling.

He couldn't have a better way to understand the 4 different probabilities of [Tips].

But he takes into account the big rules, "Sometimes you need to be the 'majority.'" 】

Ivan's understanding of the "majority" is honest, the answer to the paradox of the second level, there is no need to be opportunistic!

In desperation, he had no choice but to use real mathematics to understand and dissect the problem of the three doors.

Before dissecting, he had to make an exact choice!

I saw Ivan suddenly open his eyes and said resolutely: "I choose the red door on the left, that is, Gate No. 1!" ”

The host asked curiously, "Are you sure?" ”

Ivan nodded in response: "Sure!" ”

"Good!"

The host turned around, walked directly to the door of the red door in the middle, and raised his hand to open the door.

There are no accidents, inside the red door in the middle are black and white cows, illegal rally!

Then the host turned to face Ivan, "Now, you chose Gate 1, and I opened Gate 2, and a black and white cow appeared in Gate 2, and then you have a chance to convert, do you want to convert, please say why!" ”

"Wait, host, give me 1 minute to ideate!"

"Please!"

Then Ivan closed his eyes again, quickly conceiving in his mind.

Contestant: I, when I made the initial decision, didn't know anything about what was going on behind the three doors, so the probability that I would choose the right one was 1/3.

This is very intuitive and intuitive for Ivan!

As the events unfolded, the host eliminated a wrong answer (a door with black and white bulls), so the remaining two doors must be one is a cow and the other is a Ferrari, so at this time, no matter which door I choose, the winning rate is 1/2, which is still intuitive.

So it feels like it's unnecessary for me to change it or not, and the probability of winning is 1/2.

But intuition tells Ivan that something is wrong, something is seriously wrong!

No, something is wrong, Ivan turned his head and sensed the key!

There's a hidden condition in this -

As a host who knows what's behind the door, it's impossible to open a door with a Ferrari!

Therefore, the host will always pick a door with black and white bulls to open, that is to say, when the host chooses to open one of the doors, his choice is not a purely random event, but deliberate!

In this way, the following conclusions are reached-

If I choose a door with cows, the host will pick another door with cows!

If I choose a door with a Ferrari, the host will randomly pick one of the other two doors with a cow to open.

Think about it.

The expression on Ivan's face gradually relaxed, and he had gone through all the possibilities.

So let's say I'm, no, no assumptions, I've chosen Gate 1!

Then there are 3 possible scenarios!

[Ferrari], [Niu Jia] and [Niu B] correspond to the things behind the three red doors!

[Option 1]: I choose Ferrari, the host deliberately chooses Niu A or Niu B, if you change the door, I die, if you don't change the door, the probability of me getting a Ferrari is 1/3!

[Option 2]: I choose Niu Jia, the host can't choose Ferrari, you can only choose Niu B, if you change the door, the conversion is successful, and the probability of getting a Ferrari is 1/3, I pass the test!

[Option 3]: I choose Niu B, the host can't choose Ferrari, can only choose Niu Jia, if you change the door, the conversion is successful, I get 1/3 of the probability of Ferrari, I pass!

[Pick 2 + Pick 3] = 1/3 + 1/3 = 2/3 = 66.7%, if you change the door, the probability of me getting a Ferrari is 2/3!

As the idea ended, Ivan's face finally showed a relaxed expression, "I see, 66.7% is this thing, it's a little late to understand, but it doesn't matter." And this problem is a paradox in my world, but in other worlds it is just a math problem with some interest! ”

"If I don't change the door, the probability of getting a Ferrari is 1/3!"

"I change the door and the probability of getting a Ferrari is 2/3!"

Gradually, Ivan opened his eyes and a smile appeared on his face.

Seeing this scene, the host stepped forward curiously and reported the time: "You still have 6 minutes to go, do you know that you can't solve it and think that you will die, so you give up?" ”

I saw Ivan smile and shook his head, "Of course not, my choice is, change the door!" ”

As soon as these words came out, the host couldn't help but stir his Adam's apple, which was the answer he didn't want to hear, so he began to induce: "Mr. Ivan, are you sure you want to change the door?" ”

"Sure, and sure!"

The host looked at Ivan, "Do you have a reason, if you can't say a reason, you are..."

Before the words fell, Ivan blurted out all the ideas he had just thought.

About 1 minute later, the host who listened to all the answers was shocked, "Houli Crab..."

Seeing the host's expression, Ivan knew that he was stable, so he asked, "Aren't you still open the door?" ”

"Open!"

The host's expression was horrified, and then he raised his index finger and pointed at Ivan helplessly.

The host was also stunned by Ivan's mathematical logic!

He just planned a show, but he didn't expect that there was such a big attention behind it?

He looked surprised, and couldn't help but ask: "Ivan, you, you are studying mathematics, right, the logic is too clear?" ”

Ivan said: "Yes, I was going to use the Bayesian formula, but I was afraid that you would not understand, so I dictated, it was useless." ”

"You !!"

The host looked stunned, then smiled aggrievedly, and then shook his head again and again to walk to the red door on the right, opened it, and without any accident, the red Ferrari appeared in everyone's field of vision.

Finally, the host faced the audience and shouted: "Congratulations Ivan, the challenge is successful!" ”

Seeing this scene, the audience, the stones in the hearts of the experts suddenly fell, and they all breathed a sigh of relief, Ivan, finally succeeded!!