Venn Diagrams

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P(Z)= .40, P(Y)=.30, P(Z ⋃Y)=.58
Find the following:
P(Z’ ⋂Z’)
P(Z’⋃ Y’)
P(Z’⋃ Y)
P(Z⋂ Y’)

  • Venn Diagrams -

    P(Z’⋂Z’) = P(Z') = .60
    P(Z’⋃Y’) = 1-P(Z⋂Y) = 1-(.40+.30-.58) = .88
    P(Z’⋃Y) = .72
    P(Z⋂Y’) = .28 or P(Z’⋃Y)'

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