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
All the math involved with this just makes me confused tbh, the way I like to think about is this. Let’s take away the host opening one of the doors. After you chose a door the host offers you the chance to either stick to your one door, or switch to the other two doors you didn’t pick, and if the prize is behind one of them you still win it. I hope it’s obvious that in this scenario it’s a much better idea to switch to the two doors instead of sticking to just one. And if you think about it this scenario isn’t actually any different from the scenario where the host opens one of the doors, opening that door is there simply to obscure the fact that you’re picking between opening one door and opening two.
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