Unit Test — Unit test Answers

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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.
2
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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
3

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
4

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
5

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
6

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
7

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
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

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
11

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.
12

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
13

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.
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

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
16

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
17

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
18

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
19

Jalen is buying a new car. He has the options below.Model: compact, luxury, sportTransmission: automatic, manualColor: red, blue, black, yellowJalen decides that he wants a yellow car. What is the total number of choices he has?

A
5
B
6
C
12
D
24
20

The Bawden family is shopping for a new television. They are making their decision based on brand and size. The family has 20 possible outcomes for choosing a television. Which is a possible number of brands and sizes that the family has to choose from?

A
10 brands and 10 sizes
B
5 brands and 4 sizes
C
4 brands and 16 sizes
D
2 brands and 20 sizes

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