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# Multiple Choice Test-Taking Strategy

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In a multiple-choice test, each question has five options. Students will get 4 points for each correct answer; lose 2 points 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. Show your work for full credit.

##### Solution Summary

For a given point deduction for answering incorrectly, we use probability theory to determine whether it is in the best interest of a test-taker who does not know the correct answers to guess randomly.

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No, it is not to the student's advantage to answer the question. She has a 20% chance of getting the ...

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