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Math Help - a bit confusing

  1. #1
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    Post a bit confusing

    If A and B r independent and

    p(AB'UA'B)

    given p(A)=p(B)= 0.5
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  2. #2
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    Quote Originally Posted by amul28 View Post
    If A and B r independent and

    p(AB'UA'B)

    given p(A)=p(B)= 0.5
    I'm a bit uncertain about your notation, but maybe you want to consider something like

    P((A\cap \overline{B})\cup (\overline{A}\cap B))=P(A\cap \overline{B})+P(\overline{A}\cap B)-P((A\cap\overline{B})\cap(\overline{A}\cap B))=\ldots

    where P((A\cap\overline{B})\cap(\overline{A}\cap B))=0, of course. Since A and B are independent, you can easily calculate the remaning probabilities from the probabilities of A and B, respectively.
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  3. #3
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    thank u ...got it
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