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Math Help - Conditional probability question

  1. #1
    Senior Member Danneedshelp's Avatar
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    Conditional probability question

    Q: If two events, A and B, are such that P(A)=0.5, P(B)=0.3, and P(A intersection B)=0.1, find the following:

    1) P(A|A union B)

    2) P(A|A intersection B)

    I keep getting the wrong result when I use the conditional probability formula. I think it is because A and B are dependent events and I am not sure how to treat them.
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  2. #2
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    Quote Originally Posted by Danneedshelp View Post
    Q: If two events, A and B, are such that P(A)=0.5, P(B)=0.3, and P(A intersection B)=0.1, find the following:
    1) P(A|A union B)
    2) P(A|A intersection B)
    First: P(A \cup B)=0.5+0.3-0.1=0.7~,~A\cap(A\cup B)=A~,\&~A\cap(A\cap B)=(A\cap B)

    Now P(K|J)=\frac{P(K\cap J)}{P(J)}
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