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Culture War Roundup for the week of November 10, 2025

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I am still not really seeing this, as far as I can tell you are simultaneously holding that most people are too stupid to interact with a hypothetical (but I did have breakfast) while also contending that the same people, if they could interact with a hypothetical, would understand how the host opening a second door changes the probability such that they would consistently get the Monty Hall Problem right.

You seem to leave little to no room for the, in my opinion far simpler explanation that people have a hard time intuitively understanding how the host opening the wrong door changes the probability of switching doors.

Elsewhere Skeletor describes his own experience, and it is more or less a perfect match for every person I have ever seen try and tackle this problem. Do you think that the secret real root of Skeletor's confusion was that he thought the host was trying to trick him?

I also did not intuitively understand the probability when first hearing the problem. My solution was to pull out paper and pencil and just simulated the problem 9 times, which quickly revealed that I would win by switching 6 out of the 9 times. My internal experience did not really feel like what you are describing, and my attempted solution is basically incoherent if I was concerned in the way that you describe.

I think this might not be a useful discussion to have without identifying a concrete example of a person who is confused about it (and is really convinced that the answer should be something else, rather than just being like "uh, I don't know, 50/50?"). For the 50/50 answer, I'm positing a theory that is more or less:

(1) people won't do particularly complex math;
(2) people have a strong intuition that a well-informed adversary enthusiastically doing something for you will not help you;
(3) this intuition is adaptive and justified by real-life experience;
(4) if you accept as an "axiom" that Monty's opening of the door did not help you, then you can conclude something like that the outcome of Monty's action can at most be as good for you as if the state it brought about (one door open, has goat) were naturally there from the start. In that scenario, though, the conditional probability of the car being behind each remaining door is indeed 1/2.

As for why people would think that "the bound is tight"/it's not even worse, there might be some other technically-incorrect-but-adaptive axioms in play.

It is true that I am implying a form of "peaky", and not very introspectively closed, intelligence here: I think that people are okay at basic probability, and have a set of very solid but not perfect intuitions about benefit, trade and competition in the sort of weakly iterated games that were played within and among tribes since times when they looked more like apes. These intuitions do in fact operate extensively on comparison, as evidenced by the fact that in all of recorded history they were conveyed by way of allegorical stories.