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Math Help - I need help in this Probabilistic Model

  1. #1
    Junior Member
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    Mar 2009
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    Question I need help with this Probabilistic Model

    Alice and Bob each choose at random a number between zero and two. We assume a uniform probability law under which the probability of an event is proportional to its area. Consider the following events:
    A: The magnitude of the difference of the two numbers is greater than 0.44.
    B: At least one of the numbers is greater than 0.44.
    C: The two numbers are equal.
    D: Alice's number is greater than 0.44.
    Find the following probabilities.

    P(A) =
    P(B) =
    P(A∩B) =
    P(C) =
    P(D) =
    P(A∩D) =
    Last edited by essedra; October 17th 2009 at 01:34 AM.
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  2. #2
    Newbie
    Joined
    May 2009
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    does this work?

    2 >|x-y| >0.44 = 1.56/2 = 0.78 = P(A) ?

    For (B) = use law of total probability = (P(over)P(under))+(P(under)P(over))

    =(1.56/2)x(0.44/2)+(0.44/2)+(1.56/2) = .34
    Last edited by symmetry7; October 18th 2009 at 07:12 AM.
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