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Splash Screen.

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Presentation on theme: "Splash Screen."— Presentation transcript:

1 Splash Screen

2 Main Idea and Vocabulary Example 1: Use a Tree Diagram
Key Concept: Fundamental Counting Principle Example 2: Real-World Example Example 3: Real-World Example: Find Probability Lesson Menu

3 Fundamental Counting Principle
Count outcomes by using a tree diagram or the Fundamental Counting Principle. outcome probability random event sample space tree diagram Fundamental Counting Principle Main Idea/Vocabulary

4 Use a Tree Diagram BOOKS A flea market vendor sells new and used books for adults and teens. Today she has fantasy novels and poetry collections to choose from. Draw a tree diagram to determine the number of categories of books. Example 1

5 Answer: There are 8 different categories of books.
Use a Tree Diagram Answer: There are 8 different categories of books. Example 1

6 FASHION A store has spring outfits on sale
FASHION A store has spring outfits on sale. You can choose either striped or solid pants. You can also choose green, pink, or orange shirts. Finally, you can choose either long-sleeved shirts or short-sleeved shirts. Draw a tree diagram to determine the number of possible outfits. A. 67 outfits B. 7 outfits C. 12 outfits D. 15 outfits Example 1

7 KC 1

8 RESTAURANTS A manager assigns different codes to all the tables in a restaurant to make it easier for the wait staff to identify them. Each code consists of the vowel A, E, I, O, or U, followed by two digits from 0 through 9. How many codes could the manager assign using this method? number of possible letters for the first place number of possible digits for the second place number of possible digits for the third place number of possible codes x = 5 10 500 x = Example 2

9 Answer: There are 500 possible codes.
Example 2

10 SCHOOLS A middle school assigns each student a code to use for scheduling. Each code consists of a letter, followed by two digits from 0 through 9. How many codes are possible? A. 2,600 codes B. 2,950 codes C. 3,400 codes D. 3,800 codes Example 2

11 Find Probability COMPUTERS What is the probability that Liana will guess her friend’s computer password on the first try if all she knows is that it consists of three letters? Find the number of possible outcomes. Use the Fundamental Counting Principle. choices for the first letter choices for the second letter choices for the third letter total number of outcomes x = 26 17,576 x = Example 3

12 Answer: There are 17,576 possible outcomes. There
Find Probability Answer: There are 17,576 possible outcomes. There is 1 correct password. So, the probability of guessing on the first try is Example 3

13 LOCKER COMBINATIONS What is the probability that Shauna will guess her friend’s locker combination on the first try if all she knows is that it consists of three digits from 0 through 9? A. B. C. D. Example 3

14 End of the Lesson

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