Results 1 to 3 of 3

Math Help - Are mutually exclusive events always independant? Why?

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    1

    Are mutually exclusive events always independant? Why?

    Are mutually exclusive events always independant? Why?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    jjm
    jjm is offline
    Newbie
    Joined
    Apr 2008
    Posts
    1

    Mutually exclusive vs. independent

    No, mutually exclusive events are not always independent.

    If events are mutually exclusive, their intersection is the empty set.

    For example, if you roll a die, {x<4} = event that less than 4 turned up. If you look at two events, {x<4} and {x>3}, you'll notice that they are mutually exclusive. {x<4} = {1,2,3} and {x>3} = {4,5,6}. Their intersection is the empty set.

    When two events are independent, knowing one does not affect the probability of the other.

    Using the same example, the two events are not independent. If you know the roll is less than four, then you know that it can't be greater than three.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by maria_c_nicoletti@hotmail View Post
    Are mutually exclusive events always independant? Why?
    Read this thread: http://www.mathhelpforum.com/math-he...nt-events.html
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Mutually Exclusive Events
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: March 10th 2012, 02:20 PM
  2. Non-mutually/mutually exclusive events
    Posted in the Statistics Forum
    Replies: 1
    Last Post: September 29th 2010, 09:37 AM
  3. mutually exclusive events
    Posted in the Statistics Forum
    Replies: 3
    Last Post: July 24th 2010, 12:30 PM
  4. Mutually Exclusive Events
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: January 19th 2009, 07:10 PM
  5. Mutually exclusive events? need help for sure
    Posted in the Statistics Forum
    Replies: 4
    Last Post: August 8th 2006, 09:03 PM

Search Tags


/mathhelpforum @mathhelpforum