A multiple choice exam is given. A problem has four possible answers, and exactly one answer is

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A multiple choice exam is given. A problem has four possible answers, and exactly one answer is correct. The student is allowed to choose a subset of the four possible answers as his answer. If his chosen subset contains the correct answer, the student receives three points, but he loses one point for each wrong answer in his chosen subset. Show that if he just guesses a subset uniformly and randomly his expected score is zero.
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Statistics The Art And Science Of Learning From Data

ISBN: 9780321997838

4th Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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