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Math Help - Basic Mutually Exclusive Question

  1. #1
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    Basic Mutually Exclusive Question

    I'm stuck on one of my homework problems.

    Let A and B be mutually Exclusive events where P(A)=0.3 and P(B)=0.4

    a. Find the Probability that both A and B occur.
    b. Find the probability that either of A or b occur.
    c. Find the probability that B occurs but A does not occur.
    d. Find the probability that neither occurs.

    For part a I got 0
    For part b I got 0.7

    I don't know how to figure out part c and d. Can anyone please help?
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  2. #2
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    Re: Basic Mutually Exclusive Question

    Quote Originally Posted by reemas View Post
    I'm stuck on one of my homework problems.
    Let A and B be mutually Exclusive events where P(A)=0.3 and P(B)=0.4
    a. Find the Probability that both A and B occur.
    b. Find the probability that either of A or b occur.
    c. Find the probability that B occurs but A does not occur.
    d. Find the probability that neither occurs.
    For part a I got 0 CORRECT!
    For part b I got 0.7 CORRECT!
    c. Find the probability that B occurs but A does not occur.
    That is \mathcal{P}(B\cap A^c).
    But B\cap A^c=B because they are mutually exclusive.
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  3. #3
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    Re: Basic Mutually Exclusive Question

    Thanks. That's what I thought and wrote down but was unsure.

    For part d is the answer 0? Since one has to occur?
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  4. #4
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    Re: Basic Mutually Exclusive Question

    Quote Originally Posted by reemas View Post
    For part d is the answer 0? Since one has to occur?
    That is incorrect.
    Because A^c\cap B^c=(A\cup B)^c~.
    That is the complement of part b).
    Last edited by Plato; September 21st 2011 at 02:03 PM.
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