Write the Correct Answer in the Blank at the Right of Each Question s1

NAME ______DATE______PERIOD ______Unit 6 Study Guide (Answer Key) SCORE ______

Write the correct answer in the blank at the right of each question.

1. Derek’s family is planning a trip to Asia. If they want to visit each of the cities listed in the table at the right, in how many different orders can they do so? 1. ___24 orders____

2. Employees at a company are given a five-digit employee identification code. If each digit cannot be repeated, how many 2. ___30,240 codes____ different codes are possible?

3. There are 23 students in Mrs. Sinclair’s Spanish class. Mrs. Sinclair will randomly select one student as president and a second student 3. ____506 ways_____ as vice-president. In how many different ways can they be chosen?

4. Adrian spun a spinner with 5 equal sections 85 times. Each section Theoretical Probability of the spinner was a different color. One of the colors was blue. The 1/5 < Experimental outcome of “blue” occurred 20 times. Compare the theoretical to Probability 4/17 the experimental probability of spinning blue. 4. ______

5. The table at the right shows the voting preferences for registered voters. Describe a model that you could use to Sample Answer: Use a simulate the selection of a random number function candidate. of a graphing calculator. 5. ______

Exercises 6 and 7, find the total number of outcomes that will be in each sample space. (Make sure that you know how to draw a tree diagram) 6. __672 Outcomes__ 6. buying bedroom furniture if you can select one each from 8 dressers, 3 beds, 7 lamps, and 4 night tables 7. ___48 outcomes___

7. tossing a dime, a quarter, a penny, and rolling a number cube 8. ___120 ways______

8. How many ways can 5 friends sit together at the movies in 5 seats?

Course 2 • Chapter 9 Probability 215 NAME ______DATE______PERIOD ______replaced, and then another prize ticket Unit 6 Study Guide (continued) with a vowel will be chosen? Does this Use the spinner to find each probability. represent an independent or dependent event? 9. P(odd number) Explain.

10. P(not 3)

SCORE 11. P(4 or 5) ______

12. The spinner is spun twice. Find P(1, then 6). 9._____4 / 7______

A bag contains 4 white beads, 6 red beads, 5 yellow beads, and 5 10. ____6 / 7______blue beads. One bead is selected, kept, and another bead is selected.

13. Find P(red, then red). 11. ____2 / 7______

14. Find P(blue, then yellow). 12. _____1 / 49______

15. Farah rolled a number cube 84 times. The outcome of “2” occurred 12 times. Compare the theoretical to the experimental probability of rolling 2. 13. _____3 / 38______

16. As the number of trials gets ______, the 14. _____5 / 76______experimental probability of an event approaches the theoretical probability of the event. Theoretical Probability 1/6 > Experimental Probability 1/7 17. If 4 out of 10 people prefer apple butter over peanut butter, how 15. ______many people out of 160 people would you predict would prefer apple butter? 16. ___Larger______

18. If you flip a penny 35 times, about what percent of the tosses would you expect to land head-side up? 17. ___64 people______19. A bowl contains 8 pennies, 7 nickels, and 10 dimes. Elyse removes one coin at random from the bowl and does not replace it. She then removes a second coin at random. What is the probability that both will 18. ____50%______be nickels?

20. There are 26 prize tickets in a bowl, labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen, not 19. ____7 / 100______Course 2 • Chapter 9 Probability 215 NAME ______DATE______PERIOD ______number of boxes of Cracker Jacks you would need to 2 / 65 purchase in order to collect Dependent event; The second event is impacted by the first. all six stickers? 20. ______

A. Flip a coin six times and record the results. Unit 6 Study Guide (continued) B. Create a tree diagram to show all of the different combinations.

21. Three cards numbered 4, 8, and 9 are placed in a paper bag labeled “A”. Three cards numbered 2, 7, and 10 are placed in a paper bag C. Roll a six-sided number cube until each number is rolled once. labeled “B”. A card is randomly drawn from each bag. What is the probability that both cards drawn are even numbers? D. Label cards as A, B, C, D, E, and F. Draw a card, record the result, do not replace the card, and then draw another card. Repeat this process until all six cards have been drawn.

22. of all neighborhoods have some type of park near their home and of all neighborhoods have at least one child. If a neighborhood is picked at random, what is the probability that it will have a park and one or more children?

21. ______4 /9______

23. Gina has 5 folders that are colored blue, purple, red, yellow and orange in her book bag. Last week, of the 20 times that she reached for a folder, she grabbed the purple folder 6 times. How does the experimental probability of choosing a purple folder compare to the 22. ______4 / 15______theoretical probability?

24. A box of Cracker Jacks contains one cartoon character sticker and there are six different stickers to collect. If you want to collect all the stickers, which of the following simulations could help you estimate the Course 2 • Chapter 9 Probability 215 NAME ______DATE______PERIOD ______23.__The experimental probability (30 %) is greater than the theoretical probability (20 %)._____ 24. ______C______

Course 2 • Chapter 9 Probability 215