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?
City
1. ___24 orders____
Beijing
Shanghai
Taipei
Tokyo
2. ___30,240 codes____
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 vicepresident. 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 registered
voters. Describe a model that you
could use to simulate the selection
of a candidate.
Candidate
Percent
of Voters
Alvarez
20
Jones
40
Mulroney
25
Undecided
15
3. ____506 ways_____
Theoretical Probability
1/5 < Experimental
Probability 4/17
4. _______________
Sample Answer: Use a
random number function 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. buying bedroom furniture if you can select one each from 8 dressers, 3 beds,
7 lamps, and 4 night tables
6. __672 Outcomes__
7. tossing a dime, a quarter, a penny, and rolling a number cube
7. ___48 outcomes___
8. How many ways can 5 friends sit together at the movies in 5 seats?
8. ___120 ways______
Course 2 • Chapter 9 Probability
215
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Unit 6 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).
SCORE __________
9._____4 / 7__________
10. ____6 / 7_________
11. ____2 / 7_________
12. _____1 / 49_______
A bag contains 4 white beads, 6 red beads, 5 yellow beads, and 5 blue beads.
One bead is selected, kept, and another bead is selected.
13. Find P(red, then red).
14. Find P(blue, then yellow).
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_______
14. _____5 / 76_______
Theoretical Probability
1/6 > Experimental
Probability 1/7
15. ________________
16. As the number of trials gets _____________________, the experimental
probability of an event approaches the theoretical probability of the event.
16. ___Larger________
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?
17. ___64 people______
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 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 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 replaced, and then
another prize ticket with a vowel will be chosen? Does this represent an
independent or dependent event? Explain.
216
18. ____50%_________
19. ____7 / 100_______
2 / 65
Dependent event; The second
event is impacted by the first.
20. ________________
Course 2• Chapter 9 Probability
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Unit 6 Study Guide (continued)
21. ______4 /9________
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.
1
4
of all neighborhoods have some type of park near their home and
of
3
5
22. _______4 / 15_______
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.__The experimental
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 theoretical probability?
probability (30 %) is greater
than the theoretical
probability (20 %)._____
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?
24. _______C_________
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.
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Course 2• Chapter 9 Probability