Question 1

Solve the problem.
-How many different 5-letter codes are there if only the letters A, B, C, D, E, F, G, H, and I can be used andno letter can be used more than once?

Accepted Answer

A) 15,120 
B) 59,049 
C) 126 
D) 5 
A) 15,120 
B) 59,049 
C) 126 
D) 5

Question 2

Write down all the subsets of the given set.
-{a}

Accepted Answer

A) ∅, {a} 
B) {a} 
C) {a, b} 
D) a 
A) ∅, {a} 
B) {a} 
C) {a, b} 
D) a

Question 3

Use the information given in the figure.
-  How many are in B or C?

Accepted Answer

A) 65 
B) 63 
C) 61 
D) 7 
A) 65 
B) 63 
C) 61 
D) 7

Question 4

Write the word or phrase that best completes each statement or answers the question.
Construct a probability model for the experiment.
-Rolling a 6-sided fair die once and tossing a fair coin once.

Accepted Answer

S = {1H, 2H, 3H, 4H,

Question 5

Solve the problem.
-In how many ways can 8 people be lined up?

Accepted Answer

A) 40,320 
B) 8 
C) 20,160 
D) 1 
A) 40,320 
B) 8 
C) 20,160 
D) 1

Question 6

Solve the problem.
-How many different license plates can be made using 3 letters followed by 2 digits selected from the digits0 through 9, if neither letters nor digits may be repeated?

Accepted Answer

A) 1,404,000 
B) 1,757,600 
C) 117,000 
D) 1,123,200 
A) 1,404,000 
B) 1,757,600 
C) 117,000 
D) 1,123,200

Question 7

Use the information given in the figure.
-  How many are not in C?

Accepted Answer

A) 62 
B) 53 
C) 59 
D) 57 
A) 62 
B) 53 
C) 59 
D) 57

Question 8

Solve the problem.
-A man has 7 shirts and 11 ties. How many different shirt and tie arrangements can he wear?

Accepted Answer

A) 77 
B) 49 
C) 154 
D) 121 
A) 77 
B) 49 
C) 154 
D) 121

Question 9

Solve the problem.
-Sam estimates that if he leaves his car parked outside his office all day on a weekday, the chance that hewill get a parking ticket is 15%. If Sam leaves his car parked outside his office all day next Tuesday, whatis the chance that he will not get a parking ticket?

Accepted Answer

A) 85% 
B) 15% 
C) -15% 
D) 2.25% 
A) 85% 
B) 15% 
C) -15% 
D) 2.25%

Question 10

Write down all the subsets of the given set.
-{4, α, 10, π}

Accepted Answer

A) {4}, {α}, {10}, {π}, {4, α}, {4, 10}, {4, π}, {α, 10}, {α, π}, {10, π}, {4, α, 10}, {4, α, π}, {4, 10, π}, {α, 10, π},
{4, α, 10, π}, ∅ 
B) {4}, {α}, {10}, {π}, {4, α}, {4, 10}, {4, π}, {α, 10}, {α, π}, {10, π}, {4, α, 10}, {4, α, π}, {4, 10, π}, {α, 10, π}, ∅ 
C) {4}, {α}, {10}, {π}, {4, α}, {4, 10}, {4, π}, {α, 10}, {α, π}, {10, π}, {4, α, 10}, {4, α, π}, {4, 10, π}, {α, 10, π},
{4, α, 10, π} 
D) {4}, {α}, {10}, {π}, {4, α}, {4, 10}, {4, π}, {α, 10}, {α, π}, {10, π}, {4, α, π}, {4, 10, π}, {α, 10, π},
{4, α, 10, π}, ∅ 
A) {4}, {α}, {10}, {π}, {4, α}, {4, 10}, {4, π}, {α, 10}, {α, π}, {10, π}, {4, α, 10}, {4, α, π}, {4, 10, π}, {α, 10, π},
{4, α, 10, π}, ∅ 
B) {4}, {α}, {10}, {π}, {4, α}, {4, 10}, {4, π}, {α, 10}, {α, π}, {10, π}, {4, α, 10}, {4, α, π}, {4, 10, π}, {α, 10, π}, ∅ 
C) {4}, {α}, {10}, {π}, {4, α}, {4, 10}, {4, π}, {α, 10}, {α, π}, {10, π}, {4, α, 10}, {4, α, π}, {4, 10, π}, {α, 10, π},
{4, α, 10, π} 
D) {4}, {α}, {10}, {π}, {4, α}, {4, 10}, {4, π}, {α, 10}, {α, π}, {10, π}, {4, α, π}, {4, 10, π}, {α, 10, π},
{4, α, 10, π}, ∅

Question 11

Determine whether the following is a probability model.
-

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 12

Use the information given in the figure.
-  How many are in B and C?

Accepted Answer

A) 6 
B) 4 
C) 44 
D) 56 
A) 6 
B) 4 
C) 44 
D) 56

Question 13

Write the word or phrase that best completes each statement or answers the question.
Construct a probability model for the experiment.
-Tossing a fair coin twice given that the coin is weighted so that heads is three times as likely as tails tooccur.

Accepted Answer

S = {HH, H

Question 14

Solve the problem.
-What is the probability that the arrow will land on an odd number? Assume that all sectors have equalarea.

Accepted Answer

A)    
B)    
C) 1 
D) 0 
A)    
B)    
C) 1 
D) 0

Question 15

Determine whether the following is a probability model.
-

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 16

Write the word or phrase that best completes each statement or answers the question.
-An environmental organization has 27 members. Each member will be placed on exactly 1 of 4 teams.Each team will work on a different issue. The first team has 10 members, the second has 5, the third has 4,and the fourth has 8. In how many ways can these teams be formed?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Solve the problem.
-A certain mathematics test consists of 20 questions. Goldie decides to answer the questions withoutreading them. In how many ways can Goldie fill in the answer sheet if the possible answers are true andfalse?

Accepted Answer

A) 1,048,576 
B) 400 
C) 40 
D) 190 
A) 1,048,576 
B) 400 
C) 40 
D) 190

Question 18

Solve the problem.
-In a probability model, which of the following numbers could be the probability of an outcome:

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Use the information given in the figure.
-  How many are in B but not in A?

Accepted Answer

A) 19 
B) 26 
C) 22 
D) 17 
A) 19 
B) 26 
C) 22 
D) 17

Question 20

Solve the problem.
-In a survey of 361 computer buyers, 201 put price as a main consideration, 160 put performance as a mainconsideration, and 59 listed both price and performance. How many computer buyers listed otherconsiderations? How many looked only for performance?

Accepted Answer

A) 59; 101 
B) 118; 160 
C) 59; 160 
D) 142; 101 
A) 59; 101 
B) 118; 160 
C) 59; 160 
D) 142; 101

Solve the problem. -How many different 5-letter codes are there if only the letters A, B, C, D, E, F, G, H, and I can be used andno letter can be used more than once?

Write down all the subsets of the given set. -{a}

Use the information given in the figure. - How many are in B or C?

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Rolling a 6-sided fair die once and tossing a fair coin once.

Solve the problem. -In how many ways can 8 people be lined up?

Solve the problem. -How many different license plates can be made using 3 letters followed by 2 digits selected from the digits0 through 9, if neither letters nor digits may be repeated?

Use the information given in the figure. - How many are not in C?

Solve the problem. -A man has 7 shirts and 11 ties. How many different shirt and tie arrangements can he wear?

Solve the problem. -Sam estimates that if he leaves his car parked outside his office all day on a weekday, the chance that hewill get a parking ticket is 15%. If Sam leaves his car parked outside his office all day next Tuesday, whatis the chance that he will not get a parking ticket?

Write down all the subsets of the given set. -{4, α, 10, π}

Determine whether the following is a probability model. -

Use the information given in the figure. - How many are in B and C?

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Tossing a fair coin twice given that the coin is weighted so that heads is three times as likely as tails tooccur.

Solve the problem. -What is the probability that the arrow will land on an odd number? Assume that all sectors have equalarea.

Determine whether the following is a probability model. -

Solve the problem. -A certain mathematics test consists of 20 questions. Goldie decides to answer the questions withoutreading them. In how many ways can Goldie fill in the answer sheet if the possible answers are true andfalse?

Solve the problem. -In a probability model, which of the following numbers could be the probability of an outcome:

Use the information given in the figure. - How many are in B but not in A?

Solve the problem. -In a survey of 361 computer buyers, 201 put price as a main consideration, 160 put performance as a mainconsideration, and 59 listed both price and performance. How many computer buyers listed otherconsiderations? How many looked only for performance?

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Graphing Utilities

Filters

Exam 10: Counting and Probability

Solve the problem. -How many different 5-letter codes are there if only the letters A, B, C, D, E, F, G, H, and I can be used andno letter can be used more than once?

Write down all the subsets of the given set. -{a}

Use the information given in the figure. - How many are in B or C?

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Rolling a 6-sided fair die once and tossing a fair coin once.

Solve the problem. -In how many ways can 8 people be lined up?

Solve the problem. -How many different license plates can be made using 3 letters followed by 2 digits selected from the digits0 through 9, if neither letters nor digits may be repeated?

Use the information given in the figure. - How many are not in C?

Solve the problem. -A man has 7 shirts and 11 ties. How many different shirt and tie arrangements can he wear?

Solve the problem. -Sam estimates that if he leaves his car parked outside his office all day on a weekday, the chance that hewill get a parking ticket is 15%. If Sam leaves his car parked outside his office all day next Tuesday, whatis the chance that he will not get a parking ticket?

Write down all the subsets of the given set. -{4, α, 10, π}

Determine whether the following is a probability model. -

Use the information given in the figure. - How many are in B and C?

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Tossing a fair coin twice given that the coin is weighted so that heads is three times as likely as tails tooccur.

Solve the problem. -What is the probability that the arrow will land on an odd number? Assume that all sectors have equalarea.

Determine whether the following is a probability model. -

Solve the problem. -A certain mathematics test consists of 20 questions. Goldie decides to answer the questions withoutreading them. In how many ways can Goldie fill in the answer sheet if the possible answers are true andfalse?

Solve the problem. -In a probability model, which of the following numbers could be the probability of an outcome:

Use the information given in the figure. - How many are in B but not in A?

Solve the problem. -In a survey of 361 computer buyers, 201 put price as a main consideration, 160 put performance as a mainconsideration, and 59 listed both price and performance. How many computer buyers listed otherconsiderations? How many looked only for performance?

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Graphing Utilities

Filters