The document discusses using tree diagrams to count outcomes and find probabilities. It provides examples such as Sarah choosing an outfit from different shirt and skirt options, a matching game with spinners, tossing coins, picking marbles from bags, and making lunch combinations. Students are asked to work through examples using tree diagrams and consider if shortcuts exist for finding probabilities.

1. 9.2 Tree Diagram Use tree diagrams to count outcomes and find probabilities

2. Sarah has a date and is trying to decide what to wear. She has 3 tops and 4 skirts. How many options does Sarah have? Less than 7 Exactly 7 More than 7

3. Sarah has a date and is trying to decide what to wear. She has 3 tops and 4 skirts. How many options does Sarah have? How can we organize this information? Let’s call each shirt A, B, and C and each skirt 1, 2, 3, and 4. A B 1 1

4. What is the probability she will wear shirt C and skirt 1?

5. What is a fair game?

6. Match/No-Match game Players take turns spinning a spinner like the one shown here. On each turn, a player spins Twice. If both spins land on the Same color (a match), then Player A scores 1 point. If the two spins land on different colors (a no-match), then Player B scores 2 points. The player with the most points after 24 spins wins. blue yellow Turn and Talk: Is this a fair game?

7. Work with a partner List all the outcomes of a turn (2 spins) What is the probability of a match and a no-match? Are the outcomes equally likely? Is the game fair? If not, can the rules be changed so that it is fair?

8. You toss 3 pennies. What is the probability that all 3 are heads?

9. P(3 tails) P(exactly 2 heads) P(at least 1 tail) You toss 3 pennies.

10. A bag contains 1 red marble and 1 white marble. A second bag contains 1 red, 1 white, and 1 yellow marble. How many outcomes are possible if a marble is picked from each bag?

11. How many lunches can be made from a choice of hot dog or burger, lemonade or tea, and pie, cake, or brownies.

12. With a partner work the handout on your own paper.

13. Exit Pass How are tree diagrams useful? Do you think there is a shortcut?

14. Homework p 376: 7-17, 24