In a game show, a contestant is presented with three doors: Door A, Door B, and Door C. Behind one of these doors is a car, and behind the other two are goats. The contestant picks one door, say Door A, and the host, who knows what's behind each door, opens another door, say Door B, revealing a goat. The contestant is then given the choice to stick with their original choice (Door A) or switch to the remaining unopened door (Door C). What is the probability of winning the car if the contestant decides to switch doors?

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