Unit Test — Unit test Answers

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Walter is conducting an experiment using a spinner with 4 equal sections. Which number of trials will lead to experimental outcomes that are most similar to his predicted outcomes?

A
4
B
25
C
40
D
90
2
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Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit entry code. How many different combinations are possible, if the digits can be repeated?

A
27
B
30
C
729
D
1,000
3

Mark noticed that his bus is late to school 5% of the time. He wants to design a spinner he can use to simulate the situation and determine the probability that the bus will be late three times next week.How should Mark divide his spinner to best simulate the situation?

A
2 equal-sized sections
B
5 equal-sized sections
C
15 equal-sized sections
D
20 equal-sized sections
4

Josiah conducts an experiment that has 4 possible outcomes. Sally conducts an experiment that has 10 possible outcomes. The students conduct 50 trials each. Which statement best compares the two experiments?

A
Josiah’s results are more likely to be close to the predicted results because he had a smaller number of possible outcomes.
B
Sally’s results are more likely to be close to the predicted results because she had a larger number of possible outcomes.
C
Josiah and Sally have the same likelihood of the experimental results being close to the predicted results because they used the same number of trials.
D
Josiah and Sally have the same likelihood of the experimental results being close to the predicted results because the outcome of either experiment is unrelated to the outcome of the other experiment.
5

Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?

A
0
B
One-fourth
Option B
C
Three-fourths
Option C
D
1
6

A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?

A
10
B
20
C
40
D
50
7

Jasmine created this spinner to predict whether a randomly selected student in her school will be traveling during the upcoming holiday break.Is the Student Traveling?Jasmine’s spinner is designed to reflect data she gathered by surveying 36 students in her gym class. How many of the students Jasmine surveyed indicated they would be traveling during the holiday break?

Question illustration
A
2
B
9
C
12
D
27
8

Jordan is using a six-sided number cube to predict whether people shopping in the mall arrive by car or by bus. Based on data gathered in a survey, Jordan decided that a roll of 1 or 2 would represent a person having taken the bus, while any other outcome would represent arriving by car.Which statement best describes Jordan’s simulation?

A
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 17%.
B
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 33%.
C
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 50%.
D
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 100%.
9

A standard deck of 52 cards contains four suits: clubs, spades, hearts, and diamonds. Each deck contains an equal number of cards in each suit. Rochelle chooses a card from the deck, records the suit, and replaces the card. Her results are shown in the table.CardsSuitObserved FrequencyClubs29Spades13Hearts15Diamonds23How does the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart?

A
The theoretical probability of choosing a heart is greater than the experimental probability of choosing a heart.
Option A
B
The experimental probability of choosing a heart is greater than the theoretical probability of choosing a heart.
Option B
C
The theoretical probability of choosing a heart is greater than the experimental probability of choosing a heart.
Option C
D
The experimental probability of choosing a heart is greater than the theoretical probability of choosing a heart.
Option D
10

Which describes dependent events?

A
drawing a blue marble and then a yellow marble without replacement from a bag of marbles.
B
drawing the ace of spades from a deck of cards, putting it back into the deck, and drawing the king of spades.
C
rolling a six-sided number cube and getting an even number, then rolling the same six-sided number cube and getting an even number again
D
flipping two coins at the same time and getting heads on one and tails on the other
11

Keisha has a bag that contains one red marble (r), one yellow marble (y), one green marble (g), and one orange marble (o). She makes the table below to show the different ways that she can choose two marbles—by first choosing one marble, replacing it, and then choosing another marble.What outcome is missing from Keisha’s table?

Question illustration
A
yg
B
yo
C
yr
D
yy
12

Viktoria knows that it is impossible to remove a red marble from her bag that has no red marbles in it. If she reaches into the bag and pulls out a marble without looking, what is the probability that the marble will be red?

A
0
B
StartFraction 1 over 11 EndFraction
Option B
C
Three-fourths
Option C
D
1
13

Over the past year, Becky has enjoyed 7 of the 9 movies recommended by her local newspaper. She wants to design a spinner she can use to simulate this situation and predict the probability that she will enjoy each of the next 5 movies the paper recommends.How should Becky divide her spinner to best simulate this situation?

A
2 equal-sized sections
B
5 equal-sized sections
C
7 equal-sized sections
D
9 equal-sized sections
14

The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is selected at random. What is the probability of the complement of choosing an orange juice box?

A
StartFraction 1 over 18 EndFraction
Option A
B
StartFraction 4 over 9 EndFraction
Option B
C
StartFraction 5 over 9 EndFraction
Option C
D
StartFraction 17 over 18 EndFraction
Option D
15

A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile?

A
1
B
2
C
4
D
7

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