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Let X be the event the he gets selected in the firm X and Y be the event the he gets selected in the firm Y.Let X‘ be the event the he is not selected in the firm X and Y‘ be the event the he is not selected in the firm Y.P(X U Y) = 1 − P(X‘ ∩...
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P(X U Y) = 1 − P(X' ∩ Y')P(X' U Y') = P(X') + P(Y') − P(X' ∩ Y')
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