In Carl's drawer, he has white,gray,and black socks. In his closet,he has black brown,and blue shoes. I need to make a diagrdiagram to display the sample space for Carl choosing a sock and shoe color.

Question

In Carl's drawer, he has white,gray,and black socks. In his closet,he has black brown,and blue shoes. I need to make a diagrdiagram to display the sample space for Carl choosing a sock and shoe color.

Is this right
White/black,brown blue
Gray/black,brown,blue
Black/black brown,blue

Answer 1

Your diagram is almost correct, but let's make a small adjustment to correctly display the sample space for Carl choosing a sock and shoe color:

White/Black, Brown, Blue
Gray/Black, Brown, Blue
Black/Black, Brown, Blue

Now the diagram shows the possible combinations of sock and shoe colors, with each row representing a different sock color (white, gray, or black), and each column representing a different shoe color (black, brown, or blue).

Answer 2

Almost there! The sample space for Carl choosing a sock and shoe color would consist of all possible combinations of socks and shoes. Here's the correct diagram:

White/Black, Brown, Blue
Gray/Black, Brown, Blue
Black/Black, Brown, Blue

So you were right about the first two rows, but there should be three columns for the shoe colors: black, brown, and blue. Each sock color (white, gray, and black) can be paired with each shoe color (black, brown, and blue). Therefore, for each sock color, you have three possibilities for the shoe color, resulting in a total of nine combinations.