9 . 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 80 on a paragraph revision, while with his grammar textbook, he can get a 90 on the revision but only a 70 on the vocabulary quiz.

Quiz on V P

Joe brings D___________ _________

G ___________ _________

What does D represent?

D represents a grammar textbook.

D represents a dictionary.

D represents a vocabulary quiz.

D represents paragraph revision.

What does G represent?

G represents paragraph revision.

G represents a grammar textbook.

G represents the vocabulary quiz.

G represents a dictionary.

What does V represent?

V represents dictionary.

V represents grammar textbook.

V represents paragraph revision.

V represents vocabulary quiz.

What does P represent?

P represents dictionary.

P represents grammar textbook.

P represents paragraph revision.

P represents vocabulary quiz.

r1 =

r2 =

c1 =

c2 =

v =

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 ask his friend which book to bring. He should always take the grammar textbook. What grade can he be expected to earn? =___________