Results 1 to 4 of 4

Math Help - please help.mutually independent problem

  1. #1
    Newbie
    Joined
    Aug 2008
    Posts
    17

    please help.mutually independent problem

    P(.) is a probability function defined on some sample space, let A,B,C are events.
    1)what is meants by saying that A,B,C are mutually independent and mutually disjoint?


    2) if A,B,C are mutually independent, why A and B∪ C are independent?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by kevek View Post
    P(.) is a probability function defined on some sample space, let A,B,C are events.
    1)what is meants by saying that A,B,C are mutually independent and mutually disjoint?


    2) if A,B,C are mutually independent, why A and B∪ C are independent?
    \Pr(A \cap B \cap C) = \Pr(A) \, \Pr(B) \, \Pr(C)

    \Pr(A \cap B) = \Pr(A \cap C) = \Pr(B \cap C) = 0. In a Venn diagram there is no overlap.

    A and B∪ C ...... The symbol between B and C appears as a square to me ....
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2008
    Posts
    17
    Quote Originally Posted by mr fantastic View Post
    \Pr(A \cap B \cap C) = \Pr(A) \, \Pr(B) \, \Pr(C)

    \Pr(A \cap B) = \Pr(A \cap C) = \Pr(B \cap C) = 0. In a Venn diagram there is no overlap.

    A and B∪ C ...... The symbol between B and C appears as a square to me ....
    Thank you very much, mr fantastic
    There is a union symbol between B and C..
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by kevek View Post
    Thank you very much, mr fantastic
    There is a union symbol between B and C..
    Use the definition of mutual independence to show that \Pr(A \cap [B \cup C]) = \Pr(A) \, \Pr(B \cup C)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Mutually/non mutually events
    Posted in the Statistics Forum
    Replies: 2
    Last Post: October 13th 2011, 06:33 AM
  2. Events A,B (independent, mutually exclusive), Help!
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: February 23rd 2011, 04:07 PM
  3. Non-mutually/mutually exclusive events
    Posted in the Statistics Forum
    Replies: 1
    Last Post: September 29th 2010, 09:37 AM
  4. mutually exclusive problem
    Posted in the Statistics Forum
    Replies: 4
    Last Post: March 15th 2010, 05:54 PM
  5. [SOLVED] Mutually independent
    Posted in the Statistics Forum
    Replies: 2
    Last Post: February 2nd 2009, 01:34 PM

Search Tags


/mathhelpforum @mathhelpforum