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Well, since no one wants to guess, I'll try to guess again. Two guys are playing Russian roulette. One loads two bullets consecutively into a six-chamber revolver, spins the cylinder, puts the barrel to his temple, and pulls the trigger. There is no shot. After that, he hands the weapon to the other and says: "You can spin the cylinder, or you can just pull the trigger without spinning." What should the other guy do: spin the cylinder or not? An answer without explanation will not be counted.

You need to switch, because this guy reduced the chances of hitting the empty slot in the drum, as if you pull the trigger, you won't be able to hit that empty slot anymore. I hope I explained it clearly. I solved this problem in 8th grade; it's called the Monty Hall paradox.

If you rotate, the chance of getting a bad result is 1/3; if you don't rotate, it's 2/5 (since one empty "slot" is removed). 2/5 is greater than 1/3, so it's better to rotate.

What will be the probability of a hit if he doesn't spin?

Added after 49 seconds
P.S. I wrote this to Silverfail.

The drum spins => 2 out of 6 chances to land on a bullet.
It doesn't spin. There's an interesting consideration. Since the spot was empty, the next one can only be one bullet, as the second one is on the other side relative to the drum's rotation. We have 4 options for the empty spot that our predecessor landed on, and only one is fatal for us.
Conclusion – don't spin. That's what conditional probability suggests.

The drum spins => 2 out of 6 chances to land on a bullet.
It doesn't spin. There's an interesting consideration. Since the spot was empty, the next one can only be one bullet, as the second one is on the other side relative to the drum's rotation. We have 4 options for the empty spot that our predecessor hit, and only one is fatal for us.
Conclusion -- don't spin. That's what conditional probability says.

Everything is correct. If you don't spin, the probability of a shot will be 0.25.
0.25<1/3. The cop correctly figured it out and explained it.

You're right, I didn't notice that the bullets are fired in succession.

Okay, let's have this question. I liked it back then. In the question, the word "they" replaces two words. In one film, a hero, discussing the agonizing death of a saint, says that they do not go unpunished. In the 1960s, in one domestic work, the heroine claims that they do not contribute to increasing popularity. It is necessary to name the heroine mentioned above.

Right off the bat, I can name about zero domestic works from the 60s, and I can't search online. I can only guess, and even then, it's a half-hearted guess, that this work isn't a film; otherwise, there would be no need to specify that it's about a saint, and that it's specifically a film. Or, I shouldn't assume such nonsense and remember that "The Caucasian Captive" and "Adventures of Shurik" are more or less from the 60s.
Who might not face punishment after the death of a saint? Executioners or judges, perhaps (but it's only two words, and there might be some play on multiple meanings).
It could also be something related to the saint himself: sincere words or pious prayers, something along those lines, meaning that a painful death is the punishment.
But the heroine should be a well-known figure, like Alice Selezneva (but I think I'm off on the date). A random girl from "Jeralash" doesn't count.
And in general, the 60s don't necessarily have to be the 20th century; it could be the 19th.

yes, probably the one who remembers some well-known work from the 60s with a well-known heroine will win)
Although, based on the wording of the question, it's unclear whether it's a work from the 60s or a work about the 60s. However, I couldn't think of either. Maybe it's some kind of song?

Added 4 minutes later
Aha, I think I understand what it's about now)).
Yes, I'm sure I know who it is. But I don't have a question for the quiz :( So I'll wait until tomorrow, in case someone else answers or I come up with a question.

Actually, the 60s don't have to be from the 20th century; they could be from the 19th.

No, it's about the USSR.
Well, it's a "What? Where? When?" type of question. They often have a humorous twist.

Sesam, have you come up with a question?

Not yet, I'll come up with something today. But I will write the answer.
No good deed goes unpunished.
Therefore, the heroine is Shapoklyak.

Sesam should know, she was still young at that time.

Okay, I'll try a question from the "it's their custom" category. Why do American drivers carry mannequins in the passenger seat, and why does the local police arrest and fine them for it? Any ideas?