>>16677569
>It is indeed assumed that the fact of the host's knowledge is mentioned for a reason
And if that reason were to explain the host's bias, she would not feel the need to identify the host's bias separately in her explanation of the problem.
>that every piece of information given is relevant to the problem
Literally the first thing said in the problem isn't relevant to the problem.
>Suppose you're on a game show
Story problems often have irrelevant worldbuilding. That's just a thing that is true.
>There is a principle in communication known as the principle of relevance
And there's a principle in mathematics known as not assuming shit you aren't directly told when solving problems.
>You are suggesting that the formulation as presented violates the principle of relevance,
It demonstrably does, but that's irrelevant. The problem as given doesn't directly provide the host's bias and that bias cannot be assumed as whether or not it is given determines the answer due to the principle of indifference. "The answer is x if the question is a different question." isn't fucking how you problem solve.
>but that requires an assumption as well,
The intent of the writer does not matter. I don't have to assume jack shit. Literally all that matters is the information given in the problem. The host's bias is not given.
>the assumption of bad faith on part of the letter writer.
Or they fucked up. Irregardless they didn't include information that would make the problem a true Monty Hall problem.

tl;dr Marilyn vos Savant violated the principle of indifference by assuming the host selecting a goat was more likely than the host selecting a car. She got *the problem she was given* wrong. I make no claims about the problem the writer intended to give her and whether or not they got the answer they were looking for. That shit's fucking irrelevant.
>her answer isn't correct for the form of the question as presented to her

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I'm convinced the Monty Hall problem does not actually filter out brainlets, but rather, it simply confuses everybody and most people do not…