Topic Test Answers

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3

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.
5

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.
6

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
8

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
10

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
15

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
17

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.
18

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.
20

A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than ? Select three options.

Question illustration
A
choosing 1 blue marble
B
choosing 1 red marble
C
choosing 1 red marble, not replacing it, and then choosing a blue marble
D
choosing 1 white marble, replacing it, and choosing another white marble
E
choosing 1 white marble

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