You are on TV show,
there are 3 doors,
behind 2 of them there is a goat,
behind one is new BMW
you opened the door and the host opens another door to show you it has a goat behind it. The host offers you to change your mind and pick up the other unopened door.
Question:
do you have
1) better chances by opening the other door?
2) worse chances by opening the other door
3) the same chances by opening the other door?
...and why?
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