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Posted by on Tuesday, August 11, 2009 at 11:45pm.

On a TV game show, the contestant is asked to select a door and then is rewarded with the prize behind the door
selected. If the doors can be selected with equal probability, what is the expected value of the selection if the three doors have behind them a $40,000 foreign car, a $3 silly straw, and a $50 mathematics textbook?

  • MATH Prob. - , Wednesday, August 12, 2009 at 9:18am

    expected value of car = (1/3)(40000) = 13333.33
    expected value of silly draw = (1/3)(3) = 1.00
    expected value of mathbook = (1/3)(50) = 16.67

    so the expected value of event is the sum of these or $13531.00

  • MATH Prob. - , Thursday, July 4, 2013 at 10:28am

    If the grand prize is $1,000,000 and there is only one winner, what is a players expected value if he purchases only one ticket?

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