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Math Help - What is the prob that none of these events occur

  1. #1
    Newbie
    Joined
    Nov 2007
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    23

    What is the prob that none of these events occur

    Hello,

    I'm unsure about the following question:

    There are two events, A and B.
    P(A)= 0,5
    P(B)= 0,3
    P(AnB)= 0,2 (intersect)

    The question is what is the probability that none of these events occur. What confuses me is the fact that P(AnB) is not 0,15.

    Is the right answer 0,35? If so, how did you reason?

    Thanks in advance
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  2. #2
    Member
    Joined
    Mar 2009
    Posts
    133
    hmm, not sure, I get 0.4?

    Probability of either events occuring;
    P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.5+0.3-0.2=0.6

    So the probability of neither occuring;
    P(\bar{A}\cup \bar{B})=1-P(A\cup B)=0.4
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