Imagine you are on a game show and you are presented with three doors. Behind one of the doors is a prize, while the other two doors are empty. You choose a door and the host then opens one of the other doors to reveal that it is empty. You are then given the option to stick with your original choice or switch to the other remaining door. Should you switch doors or stick with your original choice? Provide your response in exactly 6 paragraphs (separated nearby paragraphs with 3 aterisk symbols ***).
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