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Math Help - Probability Proof Question

  1. #1
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    Probability Proof Question

    IF A=B with probability 1 then P(A) = P(B)=P(AB)

    should this be solved as using addition law as follows ...

    P (A B) = P (A) + P (B) = 1

    i am not sure ... does anyone have any input?
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  2. #2
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    Apr 2008
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    This is how I see it:

    P(AB)=P(AB).P(B) but P(AB)=1 as A=B with probability one
    => P(AB)=P(B)
    Analogously, P(AB)=P(BA)P(A) => P(AB)=P(A)
    "" denotes conditional probability(sorry don't know how to use latex)
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