AnswersTX-College Prep Math BProbability of Compound Events

Probability of Compound Events — Unit test Answers

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A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinner landing on a number that is greater than 5?

A
StartFraction 1 over 13 EndFraction
Option A
B
StartFraction 1 over 8 EndFraction
Option B
C
StartFraction 3 over 13 EndFraction
Option C
D
StartFraction 3 over 8 EndFraction
Option D
2
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Maria rolls a regular number cube with sides labeled 1 through 6. How many possible outcomes are there?

A
4
B
5
C
6
D
7
3

Michael practiced batting and kept track of his hits. He missed 2 balls but hit 8 balls that were pitched to him. How many balls can Michael predict to hit if he is pitched 20 balls?

A
4 balls
B
8 balls
C
16 balls
D
18 balls
4

Josephine noticed that out of 10 e-mails she received, 7 were advertisements. What can she predict about the number of advertisements she will receive in the next 100 e-mails?

A
She will receive 7 advertisements.
B
She will receive 10 advertisements.
C
She will receive 70 advertisements.
D
She will receive 90 advertisements.
5

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
6

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
7

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
8

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.
9

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
10

The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario.Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded?

Question illustration
A
The flight will be late all three days.
B
The flight will be on time all three days.
C
The flight will be late on one of the three days.
D
The flight will be on time on one of the three days.
11

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.
12

A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.How many different choices does a student have when choosing a pair of pants and a shirt?

Question illustration
A
2
B
4
C
8
D
10
13

Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?

A
a coin
B
a 5-sector spinner
C
a number cube
D
a bag of 11 marbles
14

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
15

The experimental probability of getting a 6 on a number cube is . Which is true about the event’s experimental probability?

Question illustration
A
The number 6 came up a total of 40 times.
B
The number 6 came up 7 times out of a total of 40 trials.
C
The number cube was rolled a total of 47 times.
D
After 7 trials, the number 6 came up 40 times.
16

A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow?

A
StartFraction 2 over 25 EndFraction
Option A
B
One-fifth
Option B
C
One-fourth
Option C
D
Two-fifths
Option D
17

A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below.Starter: breadsticks, soup, saladEntree: beef, fish, chicken, shrimp, porkHow many possible dinner special combinations are there?

A
5
B
8
C
10
D
15
18

The Mendoza family is shopping for a new laptop computer. They will make their decision based on size and brand. The family made a table to show the possible outcomes for the different choices. There are 12 possible outcomes. Which is a possible number of sizes and brands from which the family could choose?

A
6 sizes and 6 brands
B
4 sizes and 3 brands
C
2 sizes and 12 brands
D
4 sizes and 8 brands
19

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
20

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.

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