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A professor awarded a final grade of A to 17% of the students. Of those who obtained a final grade of A, 58% obtained an

A professor awarded a final grade of A to 17% of the students. Of those who obtained a final grade of A, 58% obtained an A on the midterm exam. And of those students who failed to obtain a final grade of A, 12% earned an A on the midterm exam.

Find the probability that a student with an A on the midterm exam will obtain a final grade of A (Give your answer with 3 decimal digits).

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