Question

Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of Mark's possible outfits are listed below.

Ir we take outfits 1, 2, 5, and 6 as a subset of the sample space, which of the statements below describe this subset?

Choose all answers that apply:

(Choice A)
The subset consists of all the outfits that do not have a white shirt.


(Choice B)
The subset consists of all the outfits that have either a blue shirt or a black shirt.


(Choice C)
The subset consists of all the outfits that have a black shirt.


(Choice D)
The subset consists of all the outfits that have a white shirt.

Answer 1

Outfit Shirt Slacks Tie

Outfit 1 Blue Black Red

Outfit 2 Blue Grey Red

Outfit 3 White Black Red

Outfit 4 White Grey Red

Outfit 5 Black Black Red

Outfit 6 Black Grey Red

We take the outfits 1, 2 , 5 and 6 as a subset of the sample space.

So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.

The subset consists of all the outfits that do not have a white shirt.

So the correct options are :

1. (Choice A)

The subset consists of all the outfits that do not have a white shirt.

2. (Choice C)

The subset consists of all the outfits that have a black shirt.