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Math Help - Find P(A), P(B) and P(C)

  1. #1
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    Find P(A), P(B) and P(C)

    I don't understand what this problem is asking. Anyone know?

    Suppose that there is a sample space with five equally likely experimental outcomes: E1, E2, E3, E4, and E5.

    Let:

    A = {E1, E2}
    B = {E3, E4}
    C = {E2, E3, E5}

    1. Find P(A), P(B), and P(C).
    2. Find P(A U B). Are A and B mutually exlusive?
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  2. #2
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    I think I have part of it figured out. They are all equally 1/5 or .20

    1. Pa = e1 + e2 = .2 + .2 = .4
    Pb = e3 + e4 = .2 + .2 = .4
    Pc = e2 + e3 + e4 = .6

    2. P(AUB) = .4+.4 = .8, mutually exclusive



    However, there is an additional problem I don't understand.

    3. (AUBc) and P(AUBc)

    Anyone understand part 3?
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  3. #3
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    Quote Originally Posted by elementarystat View Post
    However, there is an additional problem I don't understand.
    3. (AUBc) and P(AUBc)
    B^c=\left\{E_1,E_2,E_5\right\}
    Last edited by Plato; September 1st 2009 at 12:22 PM.
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