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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

  1. 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 6 random students.
  2. What is the expected number of cheaters that I catch?
  3. What is the chance you get caught?
  4. What is the chance I catch exactly 3 cheaters?

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