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 easiest explanation is that you are treating all the events as if they were random. But it’s not random. The host can’t open the door that has a prize behind it. That restriction gives away additional information, making the game no longer strictly random.
If you have picked the door without the prize, then you should switch. The prize is not the door you picked. It’s also not the door the host just showed you. So obviously, it’s going to be the remaining door.
If you pick the door with the prize then you obviously should not switch.
So what are the odds you picked the door with the prize? Only 1 in 3.
What are the odds you picked the door without the prize? 2 in 3.
So your best strategy is to assume that the door you have chosen is the wrong door and switch doors.
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