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In a multiple-choice test, each question has five options. Students will get 5 points for each correct answer; lose 2 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value.

  • Math-probability -

    If it is a sheer guess, the students have 4/5 chance of losing 2 points and 1/5 chance of gaining 5. Not answering is certain to get 0 points.

    Does that help?

  • Math-probability -

    yes thank you.

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