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

Solution:

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.