2. Main Idea and New Vocabulary
Key Concept: Fundamental Counting Principle
Example 1: Find the Number of Outcomes
Example 2: Real-World Example
Lesson Menu

3. Use multiplication to count outcomes and find probabilities.
Fundamental Counting Principle
Main Idea/Vocabulary

4. Key Concept

5. Find the Number of Outcomes
Find the total number of outcomes when a number from 0 to 9 is picked randomly, and then a letter from A to D is picked randomly.
10  = 40
Fundamental Counting Principle
number
letter
total
Answer: There are 40 different outcomes.
Example 1

6. Find the total number of outcomes when one of the following colors is picked randomly: orange, pink, yellow, red, and green, and then one of the following shapes is picked randomly: triangle, square, pentagon.
A. 15 outcomes
B. 8 outcomes
C. 5 outcomes
D. 2 outcomes
Example 1 CYP

7. SHOES A shoe store sells shoes in different sizes, widths, and styles, as shown in the table. Find the number of pairs of shoes available. Then find the probability of selecting a size 8 in medium width sneakers. Is it likely or unlikely that the size would be chosen?
Example 2

8. Fundamental Counting Principle sizes length style total
10   3 = 120
Fundamental Counting Principle
sizes
length
style
total
Answer: There are 120 different types of shoes to choose from. Out of the 120 possible incomes, only one is favorable. So, the probability of randomly selecting a size 8 in medium width sneakers is or about 0.8%. It is very unlikely that the size would be chosen at random.
Example 2

9. JEWELRY A jewelry store sells rings in different sizes, stones, and types of stones as shown in the table. Find the number of rings available. Then find the probability of selecting a size 5 turquoise ring with one stone. A. B. C. D.
Example 2 CYP