Use conditional probability to analyze exercise 20 in Section 9.1. Let X be the event that the prize is not behind door A, and let Y be the event that you switch and choose the door with the prize. Should you switch? Explain why or why not.
The reason whether to switch the door or not.
There are five doors and all are closed.
be the event that the prize is not behind the door .
be the event that you switch and choose the door with the prize.
The probability of winning the prize if sticking the original choice and not switching the door
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