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# 9.2 Tree Diagram

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### 9.2 Tree Diagram

1. 1. 9.2 Tree Diagram Use tree diagrams to count outcomes and find probabilities
2. 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? <ul><li>Less than 7 </li></ul><ul><li>Exactly 7 </li></ul><ul><li>More than 7 </li></ul>
3. 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? <ul><li>Let’s call each shirt A, B, and C and each skirt 1, 2, 3, and 4. </li></ul>A B 1 1
4. 4. What is the probability she will wear shirt C and skirt 1?
5. 5. What is a fair game?
6. 6. Match/No-Match game <ul><li>Players take turns spinning a spinner like the one shown here. </li></ul><ul><li>On each turn, a player spins </li></ul><ul><li>Twice. If both spins land on the </li></ul><ul><li>Same color (a match), then </li></ul><ul><li>Player A scores 1 point. If the two spins land on different colors (a no-match), then Player B scores 2 points. </li></ul><ul><li>The player with the most points after 24 spins wins. </li></ul>blue yellow Turn and Talk: Is this a fair game?
7. 7. Work with a partner <ul><li>List all the outcomes of a turn (2 spins) </li></ul><ul><li>What is the probability of a match and a no-match? </li></ul><ul><li>Are the outcomes equally likely? </li></ul><ul><li>Is the game fair? If not, can the rules be changed so that it is fair? </li></ul>
8. 8. You toss 3 pennies. What is the probability that all 3 are heads?
9. 9. <ul><li>P(3 tails) </li></ul><ul><li>P(exactly 2 heads) </li></ul><ul><li>P(at least 1 tail) </li></ul>You toss 3 pennies.
10. 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. 11. How many lunches can be made from a choice of hot dog or burger, lemonade or tea, and pie, cake, or brownies.
12. 12. With a partner work the handout on your own paper.
13. 13. Exit Pass <ul><li>How are tree diagrams useful? </li></ul><ul><li>Do you think there is a shortcut? </li></ul>
14. 14. Homework <ul><li>p 376: 7-17, 24 </li></ul>