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Probability Proof: Please Help.

  1. Apr 8, 2009 #1
    P(Ai)>0, for i=1,2,....n. P(B)>0. Show that if P(A1lB)<P(A1), then P(AilB)>P(Ai), for at least 1 value of i.
  2. jcsd
  3. Apr 8, 2009 #2


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    Science Advisor

    If you assume Ai are disjoint and the all Ai's fill up the sample space, then it is easy.
    Sum of P(Ai)=1 and Sum P(Ai|B)=1. You should be able to do the rest.
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