>>722261its not a midwit trap, its a question purposefully designed to be as unintuitive as possible.
it becomes a lot easier to understand the question if, instead of having 3 doors, you imagine there being a lot more, like 1000
you pick 1 out of 1000, then, they reveal 998 of the fake doors, and leave only 2 remaining: the 1 you picked, and 1 last unopened door. in this case, is it better to change your pick, or stick to it?
statistically speaking, the chances of your initial pick being the right one, out of 1000, is quite low, so changing is always the best option