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

ID: 3296582 • Letter: R

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.

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 90 on a vocabulary quiz but only an 60 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.



What does D represent?

D represents grammar textbook.D represents dictionary.    D represents paragraph revision.D represents vocabulary quiz.


What does G represent?

G represents grammar textbook.G represents dictionary.    G represents paragraph revision.G represents vocabulary quiz.


What does V represent?

V represents grammar textbook.V represents paragraph revision.    V represents vocabulary quiz.V represents dictionary.


What does P represent?

P represents dictionary.P represents paragraph revision.    P represents grammar textbook.P represents vocabulary quiz.



How should he decide each day what to bring?

He should always take the grammar textbook.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 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 =90+60=150

What does G represent?

Answer: C.) G represents grammar textbook = 40 + 70 = 110

What does V represent?

Answer: B.) V represents vocabulary quiz = 90 + 40 = 130

What does P represent?

Answer: A.) P represents paragraph revision = 60 + 70 = 130

Quiz on V P Joe Brings D 90 60 G 40 70
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