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Math Help - Discrete Probability Theory

  1. #1
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    Discrete Probability Theory

    A contestant chooses one of three doors; behind one of the doors is a car, and behind the other two are goats. After the contestant chooses a door, the host opens one of the other two doors that hides a goat. (Because there are two goats, the host can open a door that hides a goat no matter which door the contestant first chooses.) The host then gives the contestant the option of abandoning the chosen door in favor of the still-closed, unchosen door. If the contestant switches to the unchosen, unopened door. What is the probability of winning the car?

    My best guess is:

    (1/3) * (1/2) = 1/6
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  2. #2
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    This is a well known problem: Monty Hall Problem
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  3. #3
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    Thanks a bunch. I thought this problem would have a simple solution.
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