Question

You are at a sandwich shop. You can choose from white or rye bread,

turkey or ham, and Swiss or American cheese to make your sandwich. All
eight possible sandwich combinations are listed below.
If we take sandwiches 2 and 6 as a subset of the sample space, which of
the statements below describe this subset?
Choose all answers that apply:
A
B
C
D
The subset consists of all the sandwiches with ham.
The subset consists of all the sandwiches with turkey and American
cheese.
The subset consists of all the sandwiches without ham and without
Swiss cheese.
The subset consists of all the sandwiches with white bread.

Answer 1

Explanation:

Sandwich 2 has rye bread, ham, and Swiss cheese.

Sandwich 6 has rye bread, turkey, and American cheese.

If we take sandwiches 2 and 6 as a subset of the sample space, then the subset includes sandwiches that have rye bread and either ham or turkey, and either Swiss or American cheese.

Therefore, the following statements apply:

B. The subset consists of all the sandwiches with turkey and American cheese.

C. The subset consists of all the sandwiches without ham and without Swiss cheese.

The following statements do not apply:

A. The subset consists of all the sandwiches with ham. (This is not true, as sandwich 6 has turkey instead of ham.)

D. The subset consists of all the sandwiches with white bread. (This is not true, as both sandwiches 2 and 6 have rye bread.)