Question

In a clothing store, Mo can buy a V-neck or a round neck shirt in orange or blue, with or without a pocket. What is the size of the sample space representing all possible choices Mo can make?

A. 2
B. 4
C. 8
D. 16

Answer 1

The sample space for Mo's shirt choices is determined by multiplying the number of options for neck type, color, and pocket which results in 8 possible combinations (2×2×2). Answer: C. 8.

Step-by-step explanation:

The size of the sample space representing all possible choices Mo can make when buying a shirt can be calculated by considering all the combinations of shirt neck type, color, and presence of a pocket.

Mo has two choices for neck type (V-neck or round neck), two choices for color (orange or blue), and two choices for the pocket (with or without). To find the total number of possible combinations, we use the principle of multiplication:

2 (neck types) × 2 (colors) × 2 (pocket options) = 8 possible combinations

Therefore, the size of the sample space is 8 choices. The correct answer is C. 8.