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In a class of 40 students, 22 are women, 10 are earning an A, and 7...

In a class of 40 students, 22 are women, 10 are earning an A, and 7 are women that are earning an A. If a student is randomly selected from the class, find the probability that the student is a woman or earning an A.

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Answer #1

P(A or B) = P(A) + P(B) - P(A & B)

P(the student is a woman or earning an A) = P(student is woman) + P(earning an A) - P(woman and earning an A)

= (22 + 10 - 7)/40

= 0.625

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