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

Unit 4 Part 1 TEST: Probability Answers

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Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order.What is the sample space showing the possible orders of the other three runners?

S
S = {FGI, GFI, IFG}
S
S = {FGI, FIG, GFI, GIF}
S
S = {FGI, FIG, GFI, GIF, IFG, IGF}
S
S = {FGI, FIG, GFI, GIF, HFG, HGI, IFG, IGF}
62
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The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table.

Question illustration
A
StartFraction 3 Over 25 EndFraction
Option A
B
StartFraction 7 Over 25 EndFraction
Option B
C
StartFraction 13 Over 25 EndFraction
Option C
D
StartFraction 17 Over 25 EndFraction
Option D
63

Evaluate the expression.4! • 3!

A
12
B
30
C
144
D
5,040
64

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.Why are the events not independent?

A
The sum of P(A) and P(B) is greater than P(A and B).
B
The product of P(A) and P(B) is greater than P(A and B).
C
The product of P(A) and P(B) is not equal to P(A and B).
D
The sum of P(A) and P(B) is not equal to P(A and B).
65

Heather has a bag containing 4 marbles: 1 red, 1 blue, and 2 green. She draws 1 marble out of the bag, replaces it, and then draws another marble. What is P(red then blue then green)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
66

Question text not available

A
3
B
84
C
504
D
2048
67

In how many ways can the letters in the word spoon be arranged?

A
24
B
30
C
60
D
120
68

Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

A
A = {KL}
B
A = {KJ, KL}
C
A = {KL, LK}
D
A = {KJ, KL, LJ}
69

Which scenario depicts two independent events?

A
The school play opens tonight and it is raining.
B
Neva is hungry and she buys a snack from the concession stand.
C
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
D
Luka paints during school and he stains his shirt.
70

A dance instructor chose four of his 10 students to be on stage for a performance.If order does not matter, in how many different ways can the instructor choose the four students?

Question illustration
A
210
B
1,260
C
6,300
D
25,200
71

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.What is the theoretical probability that Chandra will be chosen as one of the science fair participants?

A
25%
B
60%
C
75%
D
80%
72

Consider a situation in which P(X) = and P(Y) = . If P(X and Y) is = , which best describes the events?

Question illustration
A
They are independent because P(X) · P(Y) = P(X and Y).
B
They are independent because P(X) + P(Y) = P(X and Y).
C
They are dependent because P(X) · P(Y) = P(X and Y).
D
They are dependent because P(X) + P(Y) = P(X and Y).
73

Consider U = {x|x is a negative real number}.Which is an empty set?

A
{x|x ∈ U and x has a negative cube root}
B
{x|x ∈ U and x has a negative square root}
C
{x|x ∈ U and x is equal to the product of a positive number and –1}
D
{x|x ∈ U and x is equal to the sum of one negative and one positive number}
74

Two students from a group of eight boys and 12 girls are sent to represent the school in a parade.If the students are chosen at random, what is the probability that the students chosen are not both girls?

A
StartFraction 12 Over 190 EndFraction
Option A
B
StartFraction 33 Over 95 EndFraction
Option B
C
StartFraction 62 Over 95 EndFraction
Option C
D
StartFraction 178 Over 190 EndFraction
Option D
75

The theoretical probability of a couple having a baby girl is . What is P(girl, girl, girl)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
76

How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?

A
100
B
120
C
240
D
720
77

Holly chooses seven out of nine plants for the front of her house with the remaining plants to be used on the side of the house.If order does not matter, in how many ways can she choose the plants for the front of the house?

A
7
B
9
C
21
D
36
78

A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters. A dart is randomly thrown at the board.

Question illustration
A
18%
B
25%
C
35%
D
50%
79

Six teammates are competing for first, second, and third place in a race.How many possibilities are there for the top three positions?

A
20
B
30
C
120
D
240
80

Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.Which choice represents the sample space, S, for this event?

A
S = {PQR}
B
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
C
S = {PQ, PR, QR}
D
S = {PQ, QP, PR, RP, QR, RQ}

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