A professor has learned that three students in her class of 20 will cheat on the exam.

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A professor has learned that three students in her class of 20 will cheat on the exam. She decides to focus her attention on four randomly chosen students during the exam.
a. What is the probability that she finds at least one of the students cheating?
b. What is the probability that she finds at least one of the students cheating if she focuses on six randomly chosen students?

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