Unit Test — Unit test Answers

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A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C). The results of the survey are shown in the Venn diagram.

Question illustration
A
StartFraction 11 Over 64 EndFraction
Option A
B
StartFraction 11 Over 53 EndFraction
Option B
C
StartFraction 53 Over 64 EndFraction
Option C
D
StartFraction 53 Over 57 EndFraction
Option D
2
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A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD? Express your answer in decimal form, rounded to the nearest hundredth.

A
0.03
B
0.07
C
0.15
D
0.18
3

Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph.What is the probability that one girl and two boys will be chosen?

A
40%
B
50%
C
60%
D
70%
4

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

A
S = {ABC, ABD, ACD, BCD}
B
S = {ABC, BCA, CDA, DAC}
C
S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}
D
S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}
5

A three-digit personal identification number is chosen using the digits 1–9. The digits cannot be repeated.What is the approximate probability that the first digit will be 6?

A
0.00595
B
0.03571
C
0.11111
D
0.66667
6

Which statements are true? Select three options.

A
P(F|C) = 0.75
B
P(C|F) = 0.25
C
P(C∩F) = 0.09
D
P(C∩F) = P(F∩C)
E
P(C|F) = P(F|C)
7

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Two marbles are drawn from the bag.Which expression represents the probability that one of the marbles is red and the other is blue?

A
StartFraction 30 P 2 Over 50 P 2 EndFraction
Option A
B
StartFraction 30 C 2 Over 50 C 2 EndFraction
Option B
C
StartFraction (10 C 1) (20 C 1) Over 50 C 2 EndFraction
Option C
D
StartFraction (10 P 1) (20 P 1) Over 50 P 2 EndFraction
Option D
8

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives.What is the approximate probability that a student chooses a computer elective and an art elective?

A
0.11364
B
0.21212
C
0.22727
D
0.42424
9

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.For the events "shower gel” and "scented” to be independent, what must be shown to be true?

A
P(lotion) = 42%
B
P(scented) = 42%
C
P(shower gel | scented) = 42%
D
P(scented | shower gel) = 42%
10

A librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections.What is the approximate probability that she chooses a fiction book, then a nonfiction book, then a fiction book?

A
0.114
B
0.131
C
0.686
D
0.784
11

The spinner is equally likely to land on any of the five sections.

Question illustration
A
One-fifth
Option A
B
Two-fifths
Option B
C
Three-fifths
Option C
D
Four-fifths
Option D
12

The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on Saturday is 60 percent.What is the probability that it will rain on Wednesday and on Saturday?

A
2 percent
B
18 percent
C
60 percent
D
90 percent
13

A farmer grows vegetables on seven acres, fruit on six acres, and flowers on two acres. Out in his fields, he finds a ladybug.To the nearest tenth of a percent, what is the theoretical probability that the ladybug was not found within the acres of flowers?

A
13.3%
B
15.4%
C
84.6%
D
86.7%
14

Ryder shot a model rocket over an area that consists of two grassy areas, shown in green, and an area with no grass, shown in white.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.6
15

A number cube has faces numbered 1 to 6.What is true about rolling the number cube one time? Select three options.S = {1, 2, 3, 4, 5, 6}If A is a subset of S, A could be {0, 1, 2}.If A is a subset of S, A could be {5, 6}.If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.If a subset A represents the complement of rolling an even number, then A = {1, 3}.

A
S = {1, 2, 3, 4, 5, 6}
B
If A is a subset of S, A could be {0, 1, 2}.
C
If A is a subset of S, A could be {5, 6}.
D
If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.
E
If a subset A represents the complement of rolling an even number, then A = {1, 3}.
16

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots.What is the probability of a customer buying carrots?

A
1.4 percent
B
5.0 percent
C
10.0 percent
D
11.4 percent
17

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books.If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?

A
StartFraction 5 Over 121 EndFraction
Option A
B
StartFraction 6 Over 121 EndFraction
Option B
C
Five-elevenths
Option C
D
Six-elevenths
Option D

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