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Math Help - Calculating probability of an event

  1. #1
    Junior Member
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    Calculating probability of an event

    Find the probability of the following event :

    P(A \prime \cap C | B\prime )

    Attempt @ solution :



    P(A \prime \cap C | B\prime ) =\frac{P ( A \prime \cap C \cap B \prime)}{P(B \prime)}= \frac{P ( A \prime \cap C \cap B \prime)}{1-P(b)}


    I am stuck on how do deal with P ( A \prime \cap C \cap B \prime) Is there a way l can simplify this thing ?
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  2. #2
    MHF Contributor matheagle's Avatar
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    I'm not sure what you want to do here.
    you can draw a venn diagram and see that

    P(A'B'C)=P(C)-P(AC)-P(BC)+P(ABC)

    But I'm not sure why you would want to do that.
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