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

Question

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. Show all work.

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 70 on a vocabulary quiz but only an 50 on a paragraph revision, while with his grammar textbook, he can get a 60 on the revision but only a 40 on the vocabulary quiz.Q

What does D represent?

A.) D represents paragraph revision. B.) D represents vocabulary quiz. C.) D represents grammar textbook. D.) D represents dictionary.

What does G represent?

A.) G represents dictionary. B.) G represents vocabulary quiz. C.) G represents grammar textbook. D.) G represents paragraph revision.

What does V represent?

A.) V represents grammar textbook. B.) V represents vocabulary quiz. C.) V represents paragraph revision. D.) V represents dictionary.

What does P represent?

A.) P represents paragraph revision. B.) P represents vocabulary quiz. C.) P represents dictionary. D.) P represents grammar textbook.

How should he decide each day what 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.    He should always take the grammar textbook.He should ask his friend which book to bring.

What grade can he be expected to earn? ______

Quiz On V P Joe Brings D G

Explanation / Answer

What does D represent?

Answer : D.) D represents dictionary = 70 + 50 = 120

What does G represent?

Answer: C.) G represents grammar textbook = 40 + 60 = 100

What does V represent?

Answer: B.) V represents vocabulary quiz = 70 + 40 = 110

What does P represent?

Answer: A.) P represents paragraph revision = 50 + 60 = 110

Quiz on V P Joe Brings D 70 50 G 40 60

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