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Consider the midterm and final exams for a statistics class. Suppose 10% of students earned an HD (High Distinction, a mark of 85 or more)

Consider the midterm and final exams for a statistics class. Suppose 10% of students earned an HD (High Distinction, a mark of 85 or more) on the midterm. Of those students who earned an HD on the midterm, 55% received an HD on the final, and 15% of the students who earned lower than an HD on the midterm received an HD on the final. You randomly pick up a final exam and notice the student received an HD. 

What is the probability that this student earned an HD on the midterm exam?

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