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Possibility of a sample space containing the following:

  1. Jan 3, 2008 #1
    [SOLVED] Possibility of a sample space containing the following:

    Will it ever be possible for a sample space (the set of all possible outcomes of a probability experiment) to contain outcomes that are both independent of each other but in fact also mutually exclusive?

    Please note I am considering one experiment and not many. Also note I am considering this one experiment to consist of several outcomes.

    Your help would be greatly appreciated.
     
  2. jcsd
  3. Jan 3, 2008 #2

    mathman

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    No. Mutually exclusive P(A*B)=0. Independent P(A*B)=P(A)xP(B). The only time they are the same is when one of the events has 0 probability. (* denotes intersection)
     
  4. Jan 4, 2008 #3
    Thanks!
     
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