I present to you this situation:
You're in a game show. There are three doors. Two of them have a goat behind them, one has the car you want... You can only choose one door. You choose one, and the game show host opens one of the doors you didn't pick, showing a goat behind it . (Note that he will always open a door with a goat behind it and always ask you the following question.) Now he asks you "Would you like to switch doors?", meaning you can switch from the door you originally picked to the door that's left.
The question is: What is the best choice, mathematically speaking?
Switching or not switching? Or do you think it doesn't matter?
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