Why does the probability “lock in” and not change if you remove a variable but doubles for the other one?
I read it multiple times and it still doesnt make any logical sense to me.
In: Mathematics
It works because the host always reveals a door without the prize, and always a door you didn’t pick to start.
Doors that cannot be opened by the host don’t have their probabilities change.
Doors that can be opened have the same combined odds before and after the reveal, but how it’s distributed within that category does change.
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