A professor receives 20 exams from his 20 students. After grading 10 exams, she checks the enrollment

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A professor receives 20 exams from his 20 students. After grading 10
exams, she checks the enrollment and sees 3 people dropped the class. She now has 17 students. If she grades the exams at random,
a) What is the probability she needlessly graded 3 exams?
b) What is the probability she needlessly graded at least one exam?

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