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Math Help - Probablity Problem

  1. #1
    vmd
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    Angry Probablity Problem

    If E is independent of F , F is independent of G and further E is independent of FG, then prove or disprove G is independent of EF?
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  2. #2
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    Re: Probablity Problem

    Hey vmd.

    Hint: Use P(A and B) = P(A)P(B) and consider a case where A (in this example) corresponds to two events like P(A) = P(C and D) = P(C)P(D)
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  3. #3
    vmd
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    Re: Probablity Problem

    Can you be more specific because I didnt understand what you are trying to say.
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  4. #4
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    Re: Probablity Problem

    If G is independent to EF then P(G and EF) = P(G)P(EF).
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  5. #5
    vmd
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    Re: Probablity Problem

    Thats true,but how could i prove that ???
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  6. #6
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    Re: Probablity Problem

    Thats the definition of independent: If two events A and B are independent then P(A and B) = P(A)P(B).

    You can think of this as P(A|B) = P(A) where B doesn't affect the outcome of A at all (i.e. they really are independent) and the definition of P(A|B) = P(A and B)/P(B) = P(A) which means that P(A and B) = P(A)*P(B). That's the intuitive reason why you have independence in mathematical form.
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