Main Idea and New Vocabulary

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Presentation transcript:

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

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

Key Concept

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  4 = 40 Fundamental Counting Principle number letter total Answer: There are 40 different outcomes. Example 1

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

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

Fundamental Counting Principle sizes length style total 10  4  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

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