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Thread: Mutually exlcusive or not?

  1. March 4th 2008, 02:53 AM #1
    wikji
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    Mutually exlcusive or not?

    Mutually exclusive events are always independent. Is this
    true or false? Why?
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  2. March 4th 2008, 03:13 AM #2
    mr fantastic
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    Quote Originally Posted by wikji View Post
    Mutually exclusive events are always independent. Is this
    true or false? Why?
    If A and B are mutually exclusive events, then \Pr(A \cap B) = 0.

    If A and B are independent events, then \Pr(A \cap B) = \Pr(A) \cdot \Pr(B).

    So what do you think and why?

    Hint: The statement is false.
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