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
Adding more doors makes sense for a lot of people but to me it never clicked in that way, so this is how I always understood it:
In the scenario, you have a 1/3 chance of choosing the correct door on your first guess, and a 2/3 chance of choosing an incorrect door on your first guess.
Now assume we’re in the first scenario where you chose correctly initially (a 1/3 chance). That means that if you choose to switch later on, you will switch to a wrong door and lose.
In the next scenario, assume you choose incorrectly the first time (with 2/3 probability). In this case, there will be two doors unchosen, one with a prize and one with nothing. The door with nothing must be opened by the gameshow host, and so in this scenario you switching will lead to choosing the right door.
Therefore, think about it like this: if you don’t switch, you must choose the correct door initially to win, which is a 1/3 probability. If you do switch, you must incorrectly choose on your first guess to win, which has a probability of 2/3.
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