6.4 A tennis shop sells five different brands of rackets, each of which comes in either a midsize version or an oversize version. Consider the chance experiment in which brand and size are noted for the next racket purchased. One possible outcome is Head midsize, and another is Prince oversize.

Possible outcomes correspond to cells in the following table:

Head Prince Slazenger Wimbledon Wilson Midsize Oversize

a. Let A denote the event that an oversize racket is purchased. List the outcomes in A.

b. Let B denote the event that the name of the brand purchased begins with a W. List the outcomes in B.

c. List the outcomes in the event not B.

d. Head, Prince, and Wilson are U.S. companies and the others are not. Let C denote the event that the racket purchased is made by a U.S. company.
List the outcomes in the event B or C. (Hint: See Example 6.4.)

e. List outcomes in B and C.

f. Display the possible outcomes on a tree diagram, with a first-generation branch for each brand.