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Math Help - Probability that only event A occurs?

  1. #1
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    Probability that only event A occurs?

    Suppose there are three events, A, B, and C. You are also given the values of: P(A), P(B), P(C), P(A intersect B), P(B intersect C), P(A intersect C), and P(A intersect B intersect C). How would you find the probability that only event A occurs?
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  2. #2
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    Quote Originally Posted by dynas7y View Post
    Suppose there are three events, A, B, and C. You are also given the values of: P(A), P(B), P(C), P(A intersect B), P(B intersect C), P(A intersect C), and P(A intersect B intersect C). How would you find the probability that only event A occurs?
    What you want is P\left(AB^cC^c\right), probability of A and not B and not C.
    I suggest you draw a Venn diagram to see this.
    P\left(AB^cC^c\right)=P(A)-P(AB)-P(AC)+P(ABC)
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  3. #3
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    Ahh, I see. That makes a lot of sense now. Thanks a lot for the quick reply
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