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A study randomly assigned college students to different professors for Calculus I, with an equal number of students assigned to each professor. Some professors were experienced, and some were relatively inexperienced. Suppose the names of the professors are LeeLee,WilsonWilson,BlackBlack,LarkinLarkin,and LopezLopez. Suppose Black and LopezBlackandLopezare inexperienced and the others are experienced. Complete parts (a) through (e) below.

a. nbspa.

List the equally likely outcomes that could occur for assignment of one student to a professor.

Choose the correct answer below.

A.

LeeLee,WilsonWilson,BlackBlack,LarkinLarkin,and LopezLopez

B.

(Black and LopezBlackandLopez)and (Lee comma Wilson comma and LarkinLee,Wilson,andLarkin)

C.

Black and LopezBlackandLopez

D.

Lee comma Wilson comma and LarkinLee,Wilson,andLarkin

b. nbspb.

Suppose the event of interest, event A, is that a professor is experienced. List the outcomes that make up event A.

Choose the correct answer below.

A.

(Black and LopezBlackandLopez)and (Black and LopezBlackandLopez)

B.

LeeLee,WilsonWilson,BlackBlack,LarkinLarkin,and LopezLopez

C.

Black and LopezBlackandLopez

D.

Lee comma Wilson comma and LarkinLee,Wilson,andLarkin

c. nbspc.

What is the probability that a student will be assigned to an experienced professor?

nothing%

d. nbspd.

List the outcomes in the complement of event A. Describe this complement in words.

Choose the correct answer below.

A.

The professor is inexperienced. The outcomes are Black and LopezBlackandLopez.

B.

The professor is experienced or inexperienced. The outcomes are LeeLee,WilsonWilson,BlackBlack,LarkinLarkin,and LopezLopez.

C.

The professor is experienced. The outcomes are Lee comma Wilson comma and LarkinLee,Wilson,andLarkin.

D.

The complement of event A is that the student is assigned no professor. The only outcome is the empty set.

e. nbspe.

What is the probability that a student will be assigned to an inexperienced professor?