Math-probability

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.

asked by Jen
  1. 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?

    posted by PsyDAG
  2. yes thank you.

    posted by Jen

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