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Given P(A) = .70, P(B) = .30, and P(A ∩ B) = .00, find (a) P(A ∪ B) and (b) P(A | B).
(c) Sketch a Venn diagram and describe it in words

  • Math -

    P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 1
    I think you'll find that given two possible outcomes, it will always be one or the other. :-)

    P(A|B) = P(A ∩ B)/P(B)
    Since P(A and B) = 0, P(A|B) = 0

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