/sci/ - Science & Math

Solve this right now to prove your not a brainlet

Imagine the following variation of the goat paradox:

>you are presented three doors
>behind one of the doors (let's call that door X) there is guaranteed to be a goat
>behind the other two doors there is a goat and a car
>so conditional on door X the chance is 0%
>that means 50/50 among the other two doors
>you choose one of those two
>the host opens door X
Will you switch? Does it change the probability?

If you say no, then please explain how this is different from the standard goat problem. Hint: You don't know in advance which one is door X. Only the host knows.