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Statistics grades: In a statistics class of 31 students, there were 15 men and 16 women. Six of the men and seven of the women received an A in the course. A student is chosen at random from the class. (a) Find the probability that the student is a woman. (b) Find the probability that the student received an A. (c) Find the probability that the student is a woman or received an A. (d) Find the probability that the student did not receive an A.

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