AnswersCR CCSS Math 2 S2 M2960OXSolving for Angle Measures of Right Triangles

Unit 4 Part 1 TEST: Probability Answers

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21
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A coin is flipped, then a number cube is rolled. The tree diagram shows the possible outcomes.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
22
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Carrie is finding the set of even numbers within the set of prime numbers.Of the sets described, which is the universal set?

A
all real numbers
B
all integers
C
prime numbers
D
even numbers
23

Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she boards the bus: first, second, third, and fourth.If we know that Karen boards the bus first, which shows the possible outcomes for this event?

A
KHIJ
B
KHIJ, KHJI
C
KHIJ, KHJI, KJHI, KJIH
D
KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
24

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.How many different ways are there to present those ribbons if the order matters?

A
56
B
336
C
6,720
D
8,064
25

The diagram shows the universal set U = {parallelograms}.Set A represents parallelograms with four congruent sides, while B represents parallelograms with four congruent angles.

Question illustration
A
6
B
8
C
18
D
26
26

A six-sided number cube is rolled twice. Which expression can be used to find P(5, then3)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
27

Dependent events can best be described as

A
two or more events that have the same probabilities.
B
two or more events that do not have the same probabilities.
C
a group of events whose later outcomes are not affected by previous outcomes.
D
a group of events whose later outcomes are affected by previous outcomes.
28

Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10 members from which a six-member team is created.Which student’s club has more possible combinations for his six-member team?

A
Brent’s club has more possible team combinations because he has fewer members on each team than Miguel’s does.
B
Brent’s club has more possible team combinations because there are more members to choose from.
C
Miguel’s club has more possible team combinations because there are fewer members in his club.
D
Miguel’s club has more possible team combinations because he has more members on each team than Brent does.
29

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.What is the probability that he will score on two consecutive shots?

A
0.09
B
0.15
C
0.30
D
0.60
30

Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets?

A
1
B
2
C
3
D
4
31

Evaluate the expression.

Question illustration
A
3
B
6
C
60,480
D
362,874
32

Luka has a bag containing 5 socks: 3 red, 1 white, and 1 black. He draws 1 sock out of the bag, replaces it, and then draws another sock.What is the probability that he will draw a black sock and then a red sock, P(black, then red)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
33

Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit cannot be used more than once in the combination.If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be chosen?

A
84
B
504
C
3,024
D
60,480
34

The spinner is equally likely to land on any of the six sections.

Question illustration
A
Two-ninths
Option A
B
One-half
Option B
C
Two-thirds
Option C
D
Five-sixths
Option D
35

Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5.Which set would be considered a subset of set V?

A
Set W is all the unique three-digit numbers using the digits 1, 3, and 5.
B
Set X is all the unique three-digit numbers using the digits 2, 4, and 6.
C
Set Y is all the unique three-digit numbers using the digits 0, 2, and 4.
D
Set Z is all the unique three-digit numbers using the digits 3, 5, and 7.
36

The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles.

Question illustration
A
motor ⋃ manual
B
motor ⋃ bicycle
C
motor ∩ manual
D
motor ∩ bicycle
37

The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.

Question illustration
A
24
B
27
C
36
D
40
38

A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive.What is true about spinning the spinner one time? Select three options.

A
S = {1, 2, 3, 4, 5, 6, 7, 8}
B
If A is a subset of S, A could be {1, 2, 3}.
C
If A is a subset of S, A could be {7, 8, 9}.
D
If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}.
E
If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.
39

Consider U = {x|x is a positive integer greater than 1}.Which is an empty set?

A
{x|x ∈ U and is prime}
Option A
B
{x|x ∈ U and 2x is prime}
C
{x|x ∈ U and can be written as a fraction}
Option C
D
{x|x ∈ U and 2x can be written as a fraction}
40

Each of the teams in a mixed volleyball league consists of 5 men and 5 women. There are 9 men and 10 women, including Julia, who are trying out for a team. How many possible teams would include Julia?

A
15,876
B
31,752
C
45,722,880
D
457,228,800

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