Lesson 7 SP 7

1. Lesson 7 SP 7 Sample Space

2. Fruit Smoothies You are ordering a fruit smoothie. You can choose a small, medium or large smoothie in one of the following fruit flavors; strawberry, banana, or orange. How many different choices of smoothies do you have? EXAMPLE 1 Making a Tree Diagram

3. ANSWER There are 9 different choices of smoothies. STEP 1 STEP 2 STEP 3 List the outcomes List the fruit choices for each size. List the sizes. EXAMPLE 1 Making a Tree Diagram Make a tree diagram to list all of the possible choices of smoothies.

4. 1. Refreshments Popcorn at a movie theater comes in regular, large, and jumbo sizes, and it comes either plain or buttered. How many choices of popcorn do you have? Make a tree diagram to solve the problem. ANSWER for Example 1 GUIDED PRACTICE

5. Practice – On Your Own Course 2 Textbook Page 641 #8 Inflatable Chairs # 9

6. EXAMPLE 2 Standardized Test Practice

7. First Second ANSWER The possible group assignments are RG, RB, RY, GR, GB, GY, BR, BG, BY, YR, YG, and YB. The correct answer is C. A B C D EXAMPLE 2 EXAMPLE 2 Standardized Test Practice Standardized Test Practice SOLUTION Because you cannot be in the same group for both sessions, do not include the same group in both sessions in the tree diagram.

8. 2. Fruit You have a plum, a banana, an apple, an orange, and a pear. If you eat one now with lunch and eat one later for a snack, what are all the possible pairs of fruit you can select for lunch and the snack? ANSWER plum banana, plum apple, plum orange, plum pear, banana plum, banana apple, banana orange, banana pear, apple plum, apple banana, apple orange, apple pear, orange plum, orange banana, orange apple, orange pear, pear plum, pear banana, pear apple, pear orange GUIDED PRACTICE for Example 2

9. 3. Scheduling You have 6 movies. You want to watch one now, and a different one later. How many ways can you choose two movies to watch? ANSWER 30 ways GUIDED PRACTICE for Example 2

10. What If? 4. In Example 2, how would the diagram of possible outcomes change if you could be assigned to the same color group for both sessions? Explain. ANSWER If another color is added in the second session there will be another four groups in the list of possible group assignments, RR, BB, GG, and YY. GUIDED PRACTICE for Example 2 ANSWER

11. On Your Own Course 2 Textbook Page 643 # 7 School Lunch Page 644 #11 Muffins

12. Find the probability of getting at least 2 heads when tossing a coin 3 times. First Second Third EXAMPLE 3 Using a Tree Diagram Make a tree diagram to list the outcomes, or sample space, of the experiment. Circle the successful outcomes.

13. ANSWER Because 4 of the 8 outcomes have at least 2 heads, , or the probability is 4 1 8 2 EXAMPLE 3 Using a Tree Diagram

14. ANSWER 1 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T; 12 for Example 3 GUIDED PRACTICE 5. You roll a number cube and flip a coin. Make a list of possible outcomes. What is the probability that you get a 3 and tails?

15. On Your Own Textbook Course 2 page 641 # 3, 4, 5, 6 Spinners