NAME ______DATE______PERIOD ______
Unit 3 Study Guide (Answer Key)SCORE ______
Write the correct answer in the blank at the right of each question.
NAME ______DATE______PERIOD ______
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 canthey do so?
2. Employees at a company are given a five-digit employee identification code. If each digit cannot be repeated, how many 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 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 of the spinner was a different color. One of the colors was blue. The outcome of “blue” occurred 20 times. Compare the theoretical to the experimental probability of spinning blue.
5. The table at the right shows the voting preferences for registeredvoters. Describe a model that you could use to simulate the selectionof a candidate.
Exercises 6 and 7, find the total number of outcomes that will bein each sample space. (Make sure that you know how to draw a tree diagram)
6. buying bedroom furniture if you can select one each from8 dressers, 3 beds, 7 lamps, and 4 night tables
7. tossing a dime, a quarter, a penny, and rolling a number cube
8. How many ways can 5 friends sit together at the movies in 5 seats?
1. ___24 orders____
2. ___30,240 codes____
3. ____506 ways_____
Theoretical Probability
1/5 < Experimental Probability 4/17
4. ______
Sample Answer: Use a random number function of a graphing calculator.
5. ______
6. __672 Outcomes__
7. ___48 outcomes___
8. ___120 ways______
NAME ______DATE______PERIOD ______
Unit 3 Study Guide(continued)
Use the spinner to find each probability.
9. P(odd number)
10. P(not 3)
11. P(4 or 5)
12. The spinner is spun twice. Find P(1, then 6).
A bag contains 4 white beads, 6 red beads, 5 yellow beads, and5 blue beads. One bead is selected, kept, and another bead isselected.
13. Find P(red, then red).
14. Find P(blue, then yellow).
15. Farah rolled a number cube 84 times. The outcome of “2” occurred12 times. Compare the theoretical to the experimental probabilityof rolling 2.
16. As the number of trials gets ______, the experimental probability of an event approaches the theoretical probability of the event.
17. If 4 out of 10 people prefer apple butter over peanut butter, how many people out of 160 people would you predict would prefer apple butter?
18. If you flip a penny 35 times, about what percent of the tosses would you expect to land head-side up?
19. A bowl contains 8 pennies, 7 nickels, and 10 dimes. Elyse removesone coin at random from the bowl and does not replace it. She thenremoves a second coin at random. What is the probability that bothwill be nickels?
20. There are 26 prize tickets in a bowl, labeled A to Z. What is theprobability that a prize ticket with a vowel will be chosen, notreplaced, and then another prize ticket with a vowel will be chosen?Does this represent an independent or dependent event? Explain.
SCORE ______
9._____4 / 7______
10.____6 / 7______
11.____2 / 7______
12._____1 / 49______
13._____3 / 38______
14._____5 / 76______
Theoretical Probability
1/6 > Experimental Probability 1/7
15.______
16.___Larger______
17.___64 people______
18.____50%______
19.____7 / 100______
2/65
Dependent event; Thesecond event is impacted by the first.
20.______
Unit 3 Study Guide (continued)
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 labeled “B”. A card is randomly drawn from each bag. What is the probability that both cards drawn are even numbers?
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?
23. Gina has 5folders 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 purplefolder 6 times. How does the experimental probability of choosing a purple folder compare to the 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 number of boxes of Cracker Jacks you would need to purchase in order to collect all six stickers?
A. Flip a coin six times and record the results.B. Create a tree diagram to show all of the different combinations.
C. Roll a six-sided number cube until each number is rolled once.
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.
21. ______4 /9______
22. ______4 / 15______
23.__The experimental probability (30 %)is greater than the theoretical probability (20 %)._____
24. ______C______