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Mathematics, 09.04.2020 19:34 Tcmidian3644

You’re playing "Let’s make a deal, 2.0" and on this version of the game show, there is a game with 4 doors! Behind two of the doors is a goat, behind one door is a car, and behind a third door is a sweet road bike. You’re goal is to win a car or the sweet road bike. Like in the game before, you get to make an initial selection of one of the doors, and for example, let’s assume that it is door #1. The game show host than reveals to you the location whats behind one of the doors, always revealing a goat. Let’s say that the door revealed is door #2. Now, the host asks you a question: Would you like to swap to one of the other remaining unrevealed doors? That is door #3 and door #4. Should you swap or stay? Provide an argument, for why you should either swap or stay. Your answer should include concrete probabilities for either swapping to another door or staying with your initial door with respect to winning the car or the sweet road bike.

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