Results 1 to 3 of 3

Math Help - Probability help please

  1. #1
    Bar0n janvdl's Avatar
    Joined
    Apr 2007
    From
    Meh
    Posts
    1,630
    Thanks
    6

    Probability help please

    Hey guys, I need some help on this problem please

    ---

    Verify the following extension of the addition rule by a) an appropriate Venn diagram and b) by a formal argument using the axioms of probability and the propositions in the chapter.


    P(A \cup B \cup C) = P(A) + P(B) + P(C) - P(A \cap B) - P(A \cap C) - P(B \cap C) + P(A \cap B \cap C)

    I don't understand the last part which says: + P(A \cap B \cap C) because they are now adding some of the same elements twice. But the question does say VERIFY and not prove...

    Thanks in advance.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    GAMMA Mathematics
    colby2152's Avatar
    Joined
    Nov 2007
    From
    Alexandria, VA
    Posts
    1,172
    Awards
    1
    A \cap B \cap C is the intersection between the three sets A, B and C

    The following Venn diagram may be of help:
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Bar0n janvdl's Avatar
    Joined
    Apr 2007
    From
    Meh
    Posts
    1,630
    Thanks
    6
    Quote Originally Posted by colby2152 View Post
    A \cap B \cap C is the intersection between the three sets A, B and C

    The following Venn diagram may be of help:
    Ah i get it now! After we removed the intersections of A and B, A and C, etc, then we have removed an essential part of the circles, namely where they all intersect, and we have to add that part again.

    Thanks Colby!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: October 10th 2014, 10:02 PM
  2. Replies: 10
    Last Post: January 21st 2011, 12:47 PM
  3. Replies: 3
    Last Post: May 29th 2010, 08:29 AM
  4. Replies: 1
    Last Post: February 18th 2010, 02:54 AM
  5. Replies: 3
    Last Post: December 15th 2009, 07:30 AM

Search Tags


/mathhelpforum @mathhelpforum