Results 1 to 2 of 2

Math Help - Probability and Stastistics P(A|B) questions

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    12

    Probability and Stastistics P(A|B) questions

    Hey guys, I am trying to figure out these two problems, but I cann't really understand what my teacher is asking for. Could someone please help?

    1.) Prove each of the following statments, assuming that any conditioning event has positive probability. ( u denotes union, and n denotes intersection)

    C) If A and B are mutually exclusive, then
    P(A|AuB) = (P(A))/(P(A) + P(B))

    D) P(AnBnC) = P(A|BnC)P(B|C)P(C)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,957
    Thanks
    1781
    Awards
    1
    Quote Originally Posted by Dream View Post
    1.) Prove each of the following statments, assuming that any conditioning event has positive probability. ( u denotes union, and n denotes intersection)
    C) If A and B are mutually exclusive, then
    P(A|AuB) = (P(A))/(P(A) + P(B))
    D) P(AnBnC) = P(A|BnC)P(B|C)P(C)
    If A and B are mutually exclusive the we know that P(A \cup B) = P(A) + P(B).
    In general, we know that P\left( {C|D} \right) = \frac{{P(C \cap D)}}{{P(D)}}.

    P(A \cap B \cap C) = P(A|B \cap C)P(B \cap C) = P(A|B \cap C)P(B|C)P(C)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Some questions on probability
    Posted in the Statistics Forum
    Replies: 2
    Last Post: March 17th 2011, 04:22 PM
  2. Probability questions
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: September 26th 2010, 04:19 PM
  3. Probability Questions
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: September 18th 2009, 09:05 PM
  4. Probability questions
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: September 18th 2009, 07:30 AM
  5. probability and stastistics
    Posted in the Statistics Forum
    Replies: 2
    Last Post: July 31st 2007, 06:47 PM

Search Tags


/mathhelpforum @mathhelpforum