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Mathematics, 08.10.2019 23:20 kalibaby

You are on a game show and you are given the choice of three doors. behind one door is a car (the main prize). behind each of the other two doors is a goat (you lose). you pick a door and the host (who knows what's behind the doors) opens another door which has a goat behind it. the host asks you if you want to stay with your original choice or to switch to the other unopened door. is it better to stay or switch doors? which choice has a higher probability of winning or does it not matter?

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