Error Analysis A clothing store sells shirts with​ long, short, or no sleeves. Each style is available in pink​, teal​, or red. A clerk incorrectly states the sample space for the possible color and sleeve styles as left parenthesis pink comma long right parenthesis​, left parenthesis pink comma short right parenthesis​, left parenthesis teal comma long right parenthesis​, left parenthesis teal comma short right parenthesis​, left parenthesis red comma long right parenthesis​, and left parenthesis red comma short right parenthesis. Use a table to show the sample space. What error did the clerk​ make?

Question

Question content area bottom
Part 1
Complete the table that represents the sample space of color and sleeve styles combinations.
Sample Space
pink
teal
red
long
pink
​,
long
teal
​,
long
red
​,
long
short
pink
​,
short
teal
​,
short
red
​,
short
no
pink
​,
no
teal
​,
no
red
​,
no
Part 2
What error did the clerk​ make?
A.
The clerk left out the possible outcomes for shirts with no sleeves.
B.
The clerk left out the possible outcomes for shirts with long sleeves.
C.
The clerk left out the possible outcomes for red colored shirts.
D.
The clerk left out the possible outcomes for pink colored shirts.

Answer 1

Part 1: Sample Space Table

To represent the complete sample space of the clothing store's shirt styles, we need to list all possible combinations of sleeve styles and colors. The sleeve styles are long, short, and no sleeves, while the colors are pink, teal, and red.

| Sleeve Style | Pink | Teal | Red | |--------------|-------------------|-------------------|-------------------| | Long | (pink, long) | (teal, long) | (red, long) | | Short | (pink, short) | (teal, short) | (red, short) | | No Sleeves | (pink, no) | (teal, no) | (red, no) |

Part 2: Error Analysis

The clerk's sample space only includes combinations for shirts with long and short sleeves but does not include any options for shirts with no sleeves. Therefore, the correct answer is:

A. The clerk left out the possible outcomes for shirts with no sleeves.