Unit Test — Unit test Answers

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The table below shows all of the possible outcomes for rolling two six-sided number cubes.What is the probability of rolling a sum of 8?

Question illustration
A
StartFraction 1 over 12 EndFraction
Option A
B
StartFraction 5 over 36 EndFraction
Option B
C
StartFraction 1 over 6 EndFraction
Option C
D
StartFraction 7 over 36 EndFraction
Option D
2
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A package contains 4 red, 2 green, 8 purple, and 6 blue jelly beans. What is the probability of choosing a purple jelly bean, eating it, and then choosing a blue jelly bean?

A
StartFraction 1 over 400 EndFraction
Option A
B
StartFraction 1 over 380 EndFraction
Option B
C
StartFraction 3 over 25 EndFraction
Option C
D
StartFraction 12 over 95 EndFraction
Option D
3

Gerald is conducting an experiment with 3 possible outcomes. Kasey is conducting an experiment with 20 possible outcomes. Which statement best relates the possible outcomes to the number of trials needed to produce results similar to their predicted outcomes?

A
Gerald will need to conduct more trials than Kasey because there are fewer possible outcomes in his experiment.
B
Gerald will need to conduct fewer trials than Kasey because there are fewer possible outcomes in his experiment.
C
Gerald will need to conduct more trials because he needs to make up for the difference in the number of possible outcomes.
D
Gerald will need to conduct fewer trials because experimental and theoretical results in experiments with small numbers of possible outcomes are the same.
4

Which best describes a random sample?

A
a sample in which the elements are chosen by chance
B
a sample in which the chosen elements are predetermined
C
a sample in which each element of the population is chosen
D
a sample in which the chosen elements are removed from the population once they are chosen
5

Melanie asked 15 random seventh-grade students how many soccer games they attended this school year. The number of games attended by each student is listed below.2, 3, 6, 4, 7, 0, 4, 5, 0, 1, 2, 3, 2, 1, 4What is the ratio of the total number of surveyed students who attended soccer games to the total number of students surveyed?

A
StartFraction 2 over 15 EndFraction
Option A
B
StartFraction 2 over 13 EndFraction
Option B
C
StartFraction 13 over 15 EndFraction
Option C
D
StartFraction 13 over 2 EndFraction
Option D
6

A scientist is studying tulips and daffodils. The scientist estimates that there are 150 tulips in the population of 600 tulips and daffodils. He chooses flowers from random parts of the garden to study. Which best explains how he can choose a random sample of flowers to represent the population?

A
He can choose 50 flowers.
B
He can choose 25 tulips and 25 daffodils.
C
He can choose 15 tulips and 60 daffodils.
D
He can choose 10 tulips and 30 daffodils.
7

The theoretical probability of an event occurring is . Which best describes the experimental probability associated with this event?

Question illustration
A
Out of every 5 trials, the desired outcome will occur exactly 2 times.
B
Out of every 5 trials, the desired outcome will occur approximately 2 times.
C
Out of every 7 trials, there will be 2 desired outcomes and 5 undesired outcomes.
D
Out of every 7 trials, there will be 5 desired outcomes and 2 undesired outcomes.
8

A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. Which color marble is most likely to be picked?

Question illustration
A
purple
B
blue
C
green
D
red
9

Liliana wants to start a seventh-grade computer club at Hamden Middle School. She surveyed 20 seventh-grade students at the town park. She asked each student how many hours they spend on their computers each week. She obtained the following results.8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21What is the ratio of the total number of students who used their computers to the total number of students surveyed?

A
or
Option A
B
or
Option B
C
or
Option C
D
or
Option D
10

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown. Which best describes the complement of choosing a red marble?

Question illustration
A
choosing a green or blue marble
B
choosing any marble
C
choosing a blue, green, or yellow marble
D
choosing a yellow marble
11

Myrna wants to know about how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns. 3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?

A
All middle school students own jeans.
B
The average middle school student owns around two pairs of jeans.
C
Most seventh-grade students prefer cargo pants to jeans.
D
An average middle school student owns three or more jeans.
12

Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?

A
25
B
30
C
75
D
83
13

The probability of choosing a penny from the 1980s from the bag of pennies without looking is . Which term best describes this probability?

Question illustration
A
impossible
B
unlikely
C
likely
D
certain
14

Juanita rolls a number cube x times. For which value of x are the experimental probability and the theoretical probability most likely to be equivalent?

A
1
B
6
C
600
D
1,000
15

When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. Using proportional reasoning, about how many of the 180 seventh-grade students in his school like reggae?

A
About 12 seventh-grade students like reggae music.
B
About 36 seventh-grade students like reggae music.
C
About 60 seventh-grade students like reggae music.
D
About 108 seventh-grade students like reggae music.
16

Adriana, Henry, Malik, and Richard each design surveys to determine the most popular way seventh graders purchase music. Adriana samples the five friends sitting at her lunch table. Henry samples every boy in his homeroom class. Malik samples every student using an MP3 player while waiting for the bus. Richard samples the first student alphabetically on the class roster from each of 12 classes. Which sample is likely to produce the most valid results?

A
Adriana’s sample
B
Henry’s sample
C
Malik’s sample
D
Richard’s sample
17

Kyle’s handful of trail mix has 2 almonds, 4 peanuts, 3 raisins, and 5 sunflower seeds. If he picks one item from the handful of trail mix at random, what is the probability that the item is a peanut?

A
StartFraction 1 over 14 EndFraction
Option A
B
StartFraction 1 over 7 EndFraction
Option B
C
StartFraction 2 over 7 EndFraction
Option C
D
Two-fifths
Option D
18

A random sample of people is chosen to participate in a survey. For the survey results to be considered valid, which must be true of the random sample?

A
The sample must be the same size as the population.
B
The sample must represent the target population.
C
The sample must be biased.
D
The sample must be a group separate from the population.
19

A bag contains 5 red marbles, 3 green marbles, 2 purple marbles, 2 orange marbles, and 1 blue marble.Which color marble is less likely to be picked than purple?

Question illustration
A
blue
B
orange
C
green
D
red
20

While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses.3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1If there are 48 campers altogether, use Mike’s data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit?

A
1 sibling
B
2 siblings
C
3 siblings
D
4 siblings

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