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Math Help - Probability Assignment: Help please!

  1. #1
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    Probability Assignment: Help please!

    Hi all,
    I'm working on a math assignment for a class, and am stuck on a question. It reads:

    Suppose an experiment has independent events A, B, and C such that:
    P(A | C) = 0.4
    P(B | C) = 0.25
    P(B' U C) = 0.8 (supposed to read "Probability of B complement OR C")

    Find the probability that exactly one of A, B, or C occurs.


    Hope someone can help!
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  2. #2
    MHF Contributor matheagle's Avatar
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    IF they are independent, then P(A)=.4, P(B)=.25....

    I think you're asking for P(AB'C')+P(A'BC')+P(A'B'C)
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  3. #3
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    Quote Originally Posted by matheagle View Post
    IF they are independent, then P(A)=.4, P(B)=.25....

    I think you're asking for P(AB'C')+P(A'BC')+P(A'B'C)
    My bad, it should read:
    Suppose an experiment has independent events A, B, and C such that:
    P(A | C) = 0.4
    P(C | B) = 0.25
    P(B' U C) = 0.8 (supposed to read "Probability of B complement OR C")

    Find the probability that exactly one of A, B, or C occurs.


    I understand that P(A)=0.4, and P(C)=0.25, but what is the easiest way to find P(B)?

    thanks
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  4. #4
    MHF Contributor matheagle's Avatar
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    Use the complement of the third one....P(BC')=.2

    .2=P(B)P(C')=P(B)(.75)
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