Unit Test — Unit test Answers

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The spinners shown below are each spun one time. What is the probability that both spinners will land on 2?

Question illustration
A
StartFraction 1 over 12 EndFraction
Option A
B
StartFraction 1 over 6 EndFraction
Option B
C
One-fourth
Option C
D
One-third
Option D
3

Selena is buying an audio system for her car. She can choose among 3 types of stereos, 4 kinds of speakers, and 2 kinds of amplifiers. Which describes how Selena can show her options?

A
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw branches from each speaker type and list the 2 amplifiers at the ends.
B
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends.
C
List 1 stereo. Draw a branch from the stereo and list 1 speaker at the end. Then, draw a branch from the speaker and list 1 amplifier at the end.
D
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw a branch from the speaker and list 1 amplifier at the end.
7

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
8

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.
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
13

Vince makes 75% of his free throw attempts. He wants to create a tool that will simulate his free throw shooting and allow him to predict the probability that he will make 6 of his next 7 free throw attempts.Which spinner simulation uses an appropriate device and has the correct number of trials?

A
a spinner divided into 2 congruent sectors, spun 6 times
B
a spinner divided into 2 congruent sectors, spun 7 times
C
a spinner divided into 4 congruent sectors, spun 6 times
D
a spinner divided into 4 congruent sectors, spun 7 times
14

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.
15

Which situations can be simulated using this spinner? Select three options.

Question illustration
A
Predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female
B
Predicting the gender of a randomly chosen history teacher if 12 of 15 history teachers are female
C
Predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female
D
Predicting the gender of a randomly chosen chemistry teacher if 4 of 9 chemistry teachers are female
E
Predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female
19

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is 7, Hannah wins. If the sum is not 7, Corrine wins. Corrine says Hannah can win only if the following occurs:1 on the first cube, 6 on the second cube2 on the first cube, 5 on the second cube3 on the first cube, 4 on the second cubeWhich best explains if Corrine is correct?

A
Corrine is correct because there are only three ways to have a sum of 7 when the cubes are rolled.
B
Corrine is correct because there are no 7s on the cubes, so Hannah must roll a greater number on the second cube.
C
Corrine is not correct because Hannah can also roll doubles on the cubes, such as 3 on the first cube and 3 on the second cube or 4 on the first cube and 4 on the second cube.
D
Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

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