Question

Represent the situation as a game and find the optimal strategy for each player. State your...

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 100 on a vocabulary quiz but only an 50 on a paragraph revision, while with his grammar textbook, he can get a 90 on the revision but only a 40 on the vocabulary quiz.

Quiz on V P Joe brings D G

What does D represent? D represents dictionary. D represents grammar textbook. D represents paragraph revision. D represents vocabulary quiz.

What does G represent? G represents vocabulary quiz. G represents grammar textbook. G represents paragraph revision. G represents dictionary.

What does V represent? V represents grammar textbook. V represents paragraph revision. V represents dictionary. V represents vocabulary quiz.

What does P represent? P represents dictionary. P represents paragraph revision. P represents grammar textbook. P represents vocabulary quiz.

r1 = r2 = c1 = c2 = v =

How should he decide each day what to bring? He should always take the grammar textbook. He should ask his friend which book to bring. Flip a coin each day; take the dictionary if it is heads and the grammar textbook if it is tails. He should always take the dictionary.

What grade can he be expected to earn?

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