Question

1. For breakfast, Harper can choose from oatmeal or scrambled eggs She can drink milk, orange juice, apple juice, or hot chocolate. Make a list, a table, or a tree diagram to represent the sample space.

Answer 1

Let O stands for oatmeal with milk, S stands for scrambled eggs with milk, OJ stands for oatmeal with orange juice, and so on.

Hence, A table that represents the sample space for Harper's breakfast choices:
Oatmeal Scrambled Eggs
Orange Juice OJOM OJSEM
Apple Juice AJOM AJSEM
Hot Chocolate HCOM HCSEM
OM stands for oatmeal with milk, SEM stands for scrambled eggs with milk, OJOM stands for oatmeal with orange juice, and so on.

Alternatively, here's a tree diagram that represents the same sample space:

Breakfast
|
------------------
| |
Oatmeal Scrambled Eggs
| |
------------- -------------
| | | | | |
Milk Orange Apple Milk Orange Apple
| | | | | |
OM OJOM AJOM SEM OJSEM AJSEM
I hope this helps! Let me know if you have any other questions.