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PROBLEM 74
This semester I have a class with 60 students. Their names, listed alphabetically, exactly fill two pages of my grade book. Once a week, the students turn in homework, which is graded and returned to them. The homework is turned in in random order, so when I record the grades in my grade book the student's name is equally likely to be on either page of the grade book.
What is the probability that after recording a grade, I will have to turn the page in order to record the next grade?
(Of course, you should assume that all 60 students turn in all homework assignments every time!)
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