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That these events are independent?

  1. Feb 27, 2009 #1
    I was wondering, if you are told that for two events A and B, We Have P(A)=0.4 and $P(A\mid B) = 0.4$\\
    Can you assume as P(A) = P(A\mid B) That these events are independent?
    regards
    Brendan
     
  2. jcsd
  3. Feb 28, 2009 #2
    Re: Independence

    Sorry guys,

    That was Latex fonts

    It should be
    IF P(A) = 0.4 and P(A|B) = 0.4 can we assume that events A and B are independent?

    regards
    Brendan
     
  4. Feb 28, 2009 #3
    Re: Independence

    Yes. To show this use

    A, B are independent if and only if [tex]P(A\cap B)=P(A)P(B)[/tex],

    [tex]P(A|B)P(B)=P(A\cap B)[/tex].
     
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