Results 1 to 4 of 4

Thread: Mutually exclusive events vs Independent events

  1. #1
    Guest

    Mutually exclusive events vs Independent events

    In regards to probability, are Mutually exclusive events the same as Independent events?

    If not, how are they different?

    thanks

  2. #2
    Junior Member
    Join Date
    Apr 2006
    Posts
    178
    Events [tex]A[/tex] and [tex]B[/tex] are mutually exclusive if [tex]A \cap B = \emptyset,[/tex] which means they cannot both occur. Those events are independent if [tex]P(A \cap B) = P(A)P(B),[/tex] which means one occurring does not affect the other occurring.

    If [tex]P(A) > 0[/tex] and [tex]P(B) > 0[/tex] then those events cannot be both mutually exclusive and independent. This is because mutually exclusive implies [tex]P(A \cap B) = 0[/tex] while independence implies [tex]P(A \cap B) = P(A)P(B) > 0.[/tex]

  3. #3
    Junior Member
    Join Date
    May 2006
    Posts
    54
    mutually exclusive events have no outcomes in common.

    ex: probability of rolling doubles or a sum of 6 with two dice?
    these events are not mutually exclusive, cause you can roll a 6 with two 3's, which are also doubles. you solve this by adding the probability of rolling doubles (6/36) with the probability of rolling a sum of 6 (5/36) and then taking away the outcome in common (1/36) answer is .27

    ex: probability of rolling doubles or an odd number?
    these events are mutually exclusive because there are no events in common. you solve this by adding the probability of rolling doubles (6/36) with the probability of rolling an odd number (18/36). answer is .66

    http://regentsprep.org/Regents/Math/mutual/Lmutual.htm

    ---

    "Two events are said to be independent if the result of the second event is not affected by the result of the first event."

    http://regentsprep.org/Regents/Math/mutual/Lindep.htm
    http://www.mathgoodies.com/lessons/vol6 ... vents.html

    google is your friend for generic questions

  4. #4
    Guest

    I just wanna

    say thank you...you are both nice.

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •