ECO 250-You are one of 6 students in my class of 20 students

You are one of 6 students in my class of 20 students that cheated. There is a very accurate test to find cheaters, which is never wrong, but unfortunately very expensive so I can test only 8 random students.What is the expected number of cheaters that I catch?What is the chance you get caught?What is the chance I catch exactly 3 cheaters?The first 3 tests are all negative, what is the chance I still catch 3 cheaters?

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