Multiple-Choice Test 2: Suppose that you are taking your College Board tests. You answer
Chapter 9, Problem 7(choose chapter or problem)
Multiple-Choice Test 2: Suppose that you are taking your College Board tests. You answer all the questions you know, and have some time left over. So you decide to guess the answers to the rest of the questions. a. Each question is multiple choice with five choices. If you guess at random, what is the probability of getting an answer right? Of getting an answer wrong? b. When the testing service grades your paper, they give you 1 point if the answer is right and subtract point if the answer is wrong. What is your mathematically expected score on any question for which you guess at random? c. Suppose that, on one question, you can eliminate one choice you know is wrong, and then randomly guess among the other four. What is your mathematically expected score on this question? Surprisingly low, isnt it? d. Calculate your mathematically expected score on a question for which you can eliminate two of the choices and then for which you can eliminate three of the choices. e. Based on your answers, do you think it is worthwhile guessing answers on a multiplechoice test?
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