Question

post test: essential learning
drag each label to the correct location on the tree - diagram. each label can be used more than once, but not all labels will be used.
claire coaches a rec - league field hockey team. she has four pairs of practice socks in yellow, pink, orange, and peach, and she has two pairs of shoes, one black and one red. she randomly grabs a pair of socks and a pair of shoes to wear and heads off to practice. what are the possible outcomes for this situation?
orange red black yellow
socks and shoes to wear
peach yellow pink
black red black red black red

Explanation:

Step1: Identify number of sock types

There are 4 types of socks (peach, yellow, pink, orange).

Step2: Identify number of shoe types

There are 2 types of shoes (black, red).

Step3: Calculate number of outcomes

By the multiplication principle, for each of the 4 sock types, there are 2 shoe - pairing options. So there are \(4\times2 = 8\) total possible outcomes. Each outcome is a pair of a sock color and a shoe color.

Answer:

The possible outcomes for the tree - diagram are:

• For peach socks: peach - black, peach - red
• For yellow socks: yellow - black, yellow - red
• For pink socks: pink - black, pink - red
• For orange socks: orange - black, orange - red