The Monty hall problem is a great example of something I’ve been educated into believing, rationalizing, whatever you want to call it…but I would still never claim I “understand it.” I think that’s maybe the source of disagreement here, there are many truly unintuitive outcomes of statistics that are not “understood” by most people in the most respectful sense of the word, even if we’ve been educated into knowing the formula, knowing how to come to the right answer, etc.

It’s like in chess, I know that the Sicilian is a good opening, that I’m supposed to play a6 in the najdorf, but I absolutely do not “understand” the Najdorf, and I do think it’s fundamentally past the limit of most humans understanding.