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A company uses two proofreaders X and Y to check a certain manuscript. X misses 12% of typographical errors and Y misses 15%.

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Answer #1

If A and B are independent, P(A and B) = P(A) x P(B)

P(X misses the error) = 0.12

P(Y misses the error) = 0.15

P(a typographical error will be missed by both proofreaders) = P(X misses the error) x P(Y misses the error)

= 0.12 x 0.15

= 0.018

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