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Thread: [SOLVED] Probability proof

  1. #1
    Senior Member Danneedshelp's Avatar
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    [SOLVED] Probability proof

    Use the law of total probability, to prove the following:

    a) If P(A|B)=P(A|B'), then A and B are independent.

    b) If P(A|C)>P(B|C) and P(A|C')>P(B|C'), then P(A)>P(B).

    I keep getting jammed up after just a couple steps. Do I just ignore the subscripts in the definition and conisder one subset for the conditional probability?
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  2. #2
    Senior Member Danneedshelp's Avatar
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    Quote Originally Posted by Danneedshelp View Post
    Use the law of total probability, to prove the following:

    a) If P(A|B)=P(A|B'), then A and B are independent.

    b) If P(A|C)>P(B|C) and P(A|C')>P(B|C'), then P(A)>P(B).

    I keep getting jammed up after just a couple steps. Do I just ignore the subscripts in the definition and conisder one subset for the conditional probability?
    Nevermind, I figured both of them out!
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