Results 1 to 3 of 3

Math Help - Sequences of Events 2

  1. #1
    Yan
    Yan is offline
    Member
    Joined
    May 2008
    Posts
    103

    Sequences of Events 2

    Suppose that birthday of each of three people is equally likely to be any one of the 365 days of the year, independently of others. Let Bij denote the event that person I have the same birthday as person j, where the labels i and j may be 1, 2, or 3.




    a)Are the events B12 and B23 independent?
    b)Are the events B12, B23, and B13 independent?
    c)Are the events B12, B23, and B13 pairwise independent?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Yan View Post
    Suppose that birthday of each of three people is equally likely to be any one of the 365 days of the year, independently of others. Let Bij denote the event that person I have the same birthday as person j, where the labels i and j may be 1, 2, or 3.




    a)Are the events B12 and B23 independent?
    b)Are the events B12, B23, and B13 independent?
    c)Are the events B12, B23, and B13 pairwise independent?
    For the events A and B to be independent requires that:

    p(A and B)=p(A)p(B)

    So apply this to (a)

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Yan
    Yan is offline
    Member
    Joined
    May 2008
    Posts
    103
    Quote Originally Posted by CaptainBlack View Post
    For the events A and B to be independent requires that:

    p(A and B)=p(A)p(B)

    So apply this to (a)

    RonL

    I know what did you said, but can you talk about this question? Because I already saw the one you said on the book, but i don't get that. that's why i have to ask the question.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: September 8th 2010, 11:19 PM
  2. Monotone sequences and Cauchy sequences
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: March 21st 2009, 08:59 PM
  3. Probability-Sequences of Events
    Posted in the Advanced Statistics Forum
    Replies: 5
    Last Post: October 5th 2008, 01:10 PM
  4. Events
    Posted in the Statistics Forum
    Replies: 2
    Last Post: October 5th 2008, 03:35 AM
  5. Replies: 5
    Last Post: January 16th 2008, 04:51 PM

Search Tags


/mathhelpforum @mathhelpforum