Q12 - Algebra 1

Question

Use a tree diagram to find the sample space for each event. State the number of possible outcomes.

At a restaurant, you have several choices of sides to have with breakfast. You can choose white or whole-wheat toast. You can choose sausage links, sausage patties, or bacon.

Step-by-Step Solution

Answer

The total number of outcomes for choosing breakfast at the restaurant is 6.

Step 1. Define a tree diagram.

A tree diagram is a way to display all the possible outcomes of an event. Each branch of the tree diagram of any event represents a possible outcome for that event.

Step 2. Plot tree diagram.

As there are two types of toasts, white toast, and whole-wheat toast, and there are three choices for the sides sausage links, sausage patties, and bacon.

Thus, the tree diagram for choosing breakfast at a given restaurant is:

Step 3. Count the total possible outcomes.

Using the tree diagram in the above step it can be noticed that the total number of outcomes for choosing breakfast at the restaurant is 6.