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Represent the situation as a game and find the optimal strategy for each player. State your final answer in the terms of the original question.

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Represent the situation as a game and find the optimal strategy for each player. State your final answer
in the terms of the original question.
In a section of Freshman Composition at your college, the English professor gives a daily quiz on
either vocabulary or writing, and allows his students to bring either a dictionary or a grammar
textbook (but not both) to use during the quiz. Joe estimates that if he brings a dictionary, he
can get a 80 on a vocabulary quiz but only an 50 on a paragraph revision, while with his
grammar textbook, he can get a 70 on the revision but only a 40 on the vocabulary quiz.

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