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From community the probability that a married man is a college graduate is .35. The probability...

From community the probability that a married man is a college graduate is .35. The probability that the wife is a college graduate is .41, and the probability that both the husband and the wife are college graduates is .14. If a married couple from this community is randomly selected, what is the probability that either the man or his wife is a college graduate?

A. .62 B. 1 C. .9 D. .76

Math   Statistics-And-Probability   
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Answer #1

Option(A): 0.62

The probability that a married man is a college graduate is 0.35: P(M) = 0.35

The probability that the wife is a college graduate is 0.41: P(W) = 0.41

The probability that both the husband and the wife are college graduates is 0.14: P(M and W) = 0.14

If a married couple from this community is randomly selected, the probability that either the man or his wife is a college graduate is

= P(M or W)

= P(M) + P(W) – P(M and W)

= 0.35 + 0.41 – 0.14

= 0.62

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