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Math Help - Basic Mutually exclusive question :S

  1. #1
    Junior Member
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    Basic Mutually exclusive question :S

    Hello everyone.
    I have an exam in a couple of days, and i came across some basics that i have completely forgotten ..

    The question is:

    Two events, A and B, from a given event space, are such that Pr(A) = 1/5 and Pr(B) = 1/3.

    1. Calculate Pr(A' intersection B) when Pr(A intersection B) = 1/8
    I've worked this out, and got 5/24

    2. Calculate Pr(A' intersection B) when A and B are mutually exclusive.
    Im not quite sure how to approach this one

    Any help would be appreciated.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by steph_r View Post
    Hello everyone.
    I have an exam in a couple of days, and i came across some basics that i have completely forgotten ..

    The question is:

    Two events, A and B, from a given event space, are such that Pr(A) = 1/5 and Pr(B) = 1/3.

    1. Calculate Pr(A' intersection B) when Pr(A intersection B) = 1/8
    I've worked this out, and got 5/24

    2. Calculate Pr(A' intersection B) when A and B are mutually exclusive.
    Im not quite sure how to approach this one

    Any help would be appreciated.
    When A and B are mutually exclusive A' \cap B = B


    CB
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  3. #3
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    mutually exclusive

    Quote Originally Posted by CaptainBlack View Post
    When A and B are mutually exclusive A' \cap B = B


    CB
    How do you know that though??
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by steph_r View Post
    How do you know that though??
    Draw a Venn diagram.

    Or suppose that x \in B, then as A and B are mutually exclusive A\cap B=\emptyset so x \not\in A hence x \in A'. Hence every x\in B is in A' so A'\cap B=B

    CB
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