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Math Help - Sets

  1. #1
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    Sets

    please explain the question in the attached picture.

    CB
    Attached Thumbnails Attached Thumbnails Sets-sets.jpg  
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  2. #2
    Junior Member
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    Quote Originally Posted by computer-bot View Post
    please explain the question in the attached picture.

    CB
     (A \cap B) \cup (A-(A \cap B)) = A
    Because : (A \cap B) and (A-(A \cap B)) are mutually exclusive .
    So , P((A \cap B) \cup A-(A \cap B)) = P(A \cap B) + P(A-(A \cap B)) = P(A)
    and ,  P(X) >= 0 , with every events .
    Therefore , P(A \cap B) =< P(A)
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