Error Analysis A clothing store sells shirts with​ long, short, or no sleeves. Each style is available in teal​, gray​, or red. A clerk incorrectly states the sample space for the possible color and sleeve styles as left parenthesis teal comma long right parenthesis​, left parenthesis teal comma short right parenthesis​, left parenthesis teal comma no right parenthesis​, left parenthesis gray comma long right parenthesis​, left parenthesis gray comma short right parenthesis​, and left parenthesis gray comma no 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
teal
gray
red
long
teal
​,
long
gray
​,
long
red
​,
long
short
teal
​,
short
gray
​,
short
red
​,
short
no
teal
​,
no
gray
​,
no
red
​,
no
Part 2
What error did the clerk​ make?
A.
The clerk left out the possible outcomes for gray colored shirts.
B.
The clerk left out the possible outcomes for shirts with long sleeves.
C.
The clerk left out the possible outcomes for shirts with no sleeves.
D.
The clerk left out the possible outcomes for red colored shirts.
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Answer 1

To create the complete sample space for the shirt styles in terms of colors and sleeve lengths, we need to consider all combinations of the three colors (teal, gray, red) with the three sleeve lengths (long, short, no sleeves).

The correct combinations are:

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

Now, let's list the full sample space:

1. (teal, long)
2. (teal, short)
3. (teal, no)
4. (gray, long)
5. (gray, short)
6. (gray, no)
7. (red, long)
8. (red, short)
9. (red, no)

Part 2: What error did the clerk make?

The clerk's sample space only included combinations for teal and gray shirts but omitted all possible combinations for red shirts. Therefore, the answer is:

D. The clerk left out the possible outcomes for red colored shirts.