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A surprise quiz contains three multiple choice questions; question $1$ has $3$ suggested answers, question $2$ has four, and question $3$ has two. A completely unprepared student decides to choose the answers at random. If $X$ is the number of questions the student answers correctly, the expected number of correct answers is

  1. $15 / 12$
  2. $7 / 12$
  3. $13 / 12$
  4. $18 / 12$
  5. None of the above
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