tbh i hang out with more computer scientists than physicists, so i have a pretty permanent confusion between thermo entropy and information theory entropy 
fucking nerds need more words for things.
(Especially math nerds. Have you seen how many diff things 'normal' means?)
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That's a good point and I always forget that part. Whenever I walk away from it for a decade and for whatever reason I'm trying to do the math in my head, I always get stuck on "but wait, what happened to the third door? And then I go look it up.
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The explanation that made it really click for me was just increasing the number of doors to some absurd level while keeping the rules the same Imagine there's 100 doors, only one of them has a car You get to pick one randomly out of the 100
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But only because all but one incorrect door is always taken away by the time you do the switching.
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