monty halls door problem please

Question

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

Answer 1

Initially you have a 1/3 chance of picking right. Or said better, a 2/3 chance of picking wrong.

Then the host reveals a _losing_ door.

So what’s more likely? That you picked a winning door or losing door? That you picked a losing door.

So now 2 losing doors are _probably_ accounted for. The one you picked. And the one the host revealed.

So your chances are best if you switch your pick.