Since you already understand the problem (as in what it is) I am going to modify it in a way that made it click for me
Instead of the 3 doors.
Let’s assume there are 3 *million* doors and only one of them has a prize.
You pick one of them at random. And then they get rid of all but 2 of the doors so that one has the prize and one has nothing. Just like normal
Now the idea is that you should definitely switch to the other door, right?
So Ask yourself.
Did you pick the correct door out of 3 million on your first try and then the remaining door has no prize?
OR
You picked one of the 2,999,999 wrong doors and the other door has the prize behind it?
You probably think it reasonable that you picked one of the many wrong doors. So your best course of action is to switch to the remaining door, a door remaining precisely *because* it probably has the prize.
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