Final answer:
To find the number of possible outcomes, multiply the number of bagel types (2) by the number of spread options (3), resulting in 6 possible outcomes when ordering a bagel.
Step-by-step explanation:
To find the number of possible outcomes in the sample space where a bagel shop has two types of bagels: plain and onion, and each bagel can be ordered with no spread, with butter, or with cream cheese, we follow these steps:
- Determine the number of options for each choice
- Multiply the numbers of outcomes for each choice together
Let's break it down:
- Types of bagels: 2 (plain and onion)
- Spread options: 3 (no spread, with butter, with cream cheese)
Now, multiply the two numbers of outcomes to get the total number of combinations:
2 (Types of Bagels) x 3 (Spread Options) = 6 possible outcomes
Thus, there are a total of 6 possible outcomes when ordering a bagel with the given choices.