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A college professor hands out a list of 14 questions, 7 of which will appear on the final examination for the course. One of the

A college professor hands out a list of 14 questions, 7 of which will appear on the final examination for the course. One of the students taking the course is pressed for time and can prepare for only 8 of the 14 questions on the list. Suppose the professor chooses the 7 questions at random from the 14. What is the probability that the student will be prepared for exactly 4 questions?

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