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Nadia has two pairs of jeans, one pair of khakis, and two pairs of black pants she wears to school. She also has two red shirts, two white shirts, and one gray shirt from which to choose. Nadia wears jeans and a gray shirt on Monday. If she does not wear a clothing item more than once during a week, which list represents the sample space for Nadia’s outfit on Tuesday?

Respuesta :

mommysorr
To find the sample space for Nadia's outfit on Tuesday, we need to consider all possible combinations of clothing items she has left, given that she doesn't wear the same clothing item more than once during the week.

On Monday, Nadia wore jeans and a gray shirt. So, for Tuesday, she has the following options for each clothing item:

- Bottoms: 1 khaki, 1 black pants
- Tops: 2 red shirts, 2 white shirts

Now, we can list all possible combinations for Tuesday's outfit:

1. Khaki + Red shirt
2. Khaki + White shirt
3. Black pants + Red shirt
4. Black pants + White shirt

So, the sample space for Nadia's outfit on Tuesday consists of these four combinations:

- Khaki + Red shirt
- Khaki + White shirt
- Black pants + Red shirt
- Black pants + White shirt

Answer: A khaki pants and a white shirt

Step-by-step explanation:

List down the clothes

Jeans (2)

Khakis (1)

Black pants (2)

Red shirts (2)

White shirts (2)

Gray shirt (1)

Monday - Jeans and gray shirt (1 remaining jeans and no more gray shirt)

Tuesday - Khakis and white shirt (1 remaining white shirt)

Wed - Black pants and red shirt (1 remaining for each)

Thurs - Jeans and red shirt (no more jeans and red shirt)

Fri - Black pants and white shirt (no more black pants and white shirt)

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