Explore BrainMass

Explore BrainMass

    Mutually exclusive events

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Can a mutually exclusive events be independent at the same time?

    I know that Binomial distribution is not another representation of a discrete probability distribution, but an example. Can you give two other ways of representing a discrete probability distribution? Or Can a pair of events be both mutually exclusive and independent?

    © BrainMass Inc. brainmass.com February 24, 2021, 3:46 pm ad1c9bdddf
    https://brainmass.com/math/probability/mutually-exclusive-events-example-problem-98500

    Solution Preview

    Can a mutually exclusive events be independent at the same time?

    Answer : No

    Explanation:

    Definition of a mutually exclusive event

    If event A happens, then event B cannot, or vice-versa. The two events "it rained on Friday " and "it did not rain on Friday " are mutually exclusive events.

    When calculating the probabilities for exclusive events you add the probabilities.

    Example.

    A pair of dice is rolled. What is the probability that the sum of ...

    Solution Summary

    This answers a question regarding mutually exclusive and independent events.

    $2.19

    ADVERTISEMENT