I have tried asking chatgpt, i have tried searching animations, I just dont get it!
Edit: I finally get it. If you choose a wrong door, then the other wrong door gets opened and if you switch you win, that can happen twice, so 2/3 of the time.
In: 296
The way I think about/simplify the problem is to remove the concepts of changing your selection and of Monty removing the doors without prizes.
You are given 3 doors, and a choice at the beginning. You can either pick any door, or you can choose any 2 doors (choose one door not to pick). Obviously, you’d want to eliminate one door and you have a 2/3 chance at winning.
Going back to the original problem. When you select a door and don’t change your guess, that’s choosing a single door. When you select a door and change your guess, that’s choosing the door not to pick. This is because the prize isn’t reshuffled after the doors are eliminated, and Monty can only eliminate doors with prizes.
The options are:
– Prize is behind the door you picked (1/3 chance, Monty can remove either door)
– Prize isn’t behind the door you picked (2/3 chance, Monty *has* to eliminate the door without the prize, leaving the door remaining with the prize)
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