Question 1

Solve the problem.
-If it has been determined that the probability of an earthquake occurring on a certain day in a certain area is 0.01, what are the odds against an earthquake?

Accepted Answer

A) 1 to 100 
B) 98 to 1 
C) 100 to 1 
D) 99 to 1 
A) 1 to 100 
B) 98 to 1 
C) 100 to 1 
D) 99 to 1

Question 2

Determine whether the players have equal probabilities of winning.
-Draw a card from a regular deck. If a spade is drawn, player 1 wins; if a diamond is drawn, player 2 wins; otherwise player 3 wins.

Accepted Answer

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

Question 3

Find the probability.
-A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 7?

Accepted Answer

A)  $\frac { 4 } { 13 }$ 
B)  8 
C)  $\frac { 13 } { 2 }$ 
D)  $\frac { 2 } { 13 }$ 
A)  $\frac { 4 } { 13 }$ 
B)  8 
C)  $\frac { 13 } { 2 }$ 
D)  $\frac { 2 } { 13 }$

Question 4

Solve the problem.
-When a single card is drawn from an ordinary 52-card deck, find the odds in favor of getting a red 2 or a black 3.

Accepted Answer

A) 1 : 11 
B) 1 : 25 
C) 2 : 25 
D) 1 : 12 
A) 1 : 11 
B) 1 : 25 
C) 2 : 25 
D) 1 : 12

Question 5

Construct the requested tree diagram.
-Construct a tree diagram that shows all possible outcomes when two coins are tossed.

Accepted Answer

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

Question 6

List the elements in the sample space of the experiment.
-A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.

Accepted Answer

A) {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)} 
B) {7} 
C) {12} 
D) {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)} 
A) {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)} 
B) {7} 
C) {12} 
D) {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)}

Question 7

Solve the problem.
-Suppose that we wish to distribute the four-digit random numbers from 0000 through 9999 so that the corresponding random numbers can be used to simulate the polluting spills in the Great Lakes. If the numbers 0000 to 2465 correspond to 0 spills, what is the estimated probability of 0 spills?

Accepted Answer

A)  $\frac { 2466 } { 1000 }$ 
B)  $\frac { 2465 } { 10,000 }$ 
C)  $\frac { 2465 } { 1000 }$ 
D)  $\frac { 2466 } { 10,000 }$ 
A)  $\frac { 2466 } { 1000 }$ 
B)  $\frac { 2465 } { 10,000 }$ 
C)  $\frac { 2465 } { 1000 }$ 
D)  $\frac { 2466 } { 10,000 }$

Question 8

Determine the number of outcomes as requested.
-Two 6-sided dice are thrown. Determine the number of ways that a score of less than 4 can be obtained.

Accepted Answer

A) 6 
B) 3 
C) 4 
D) 2 
A) 6 
B) 3 
C) 4 
D) 2

Question 9

Find the probability.
-When a single card is drawn from an ordinary 52-card deck, find the probability of getting the 7 of diamonds.

Accepted Answer

A)  $\frac { 1 } { 26 }$ 
B)  $\frac { 1 } { 13 }$ 
C)  $\frac { 1 } { 52 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 1 } { 26 }$ 
B)  $\frac { 1 } { 13 }$ 
C)  $\frac { 1 } { 52 }$ 
D)  $\frac { 1 } { 4 }$

Question 10

Solve the problem.
-Two dice are rolled. Find the odds that the score on the dice is either 7 or 9.

Accepted Answer

A) 1 : 3 
B) 4 : 5 
C) 5 : 13 
D) 5 : 7 
A) 1 : 3 
B) 4 : 5 
C) 5 : 13 
D) 5 : 7

Question 11

Solve the problem.
-What is the probability of a dart landing in the shaded region? (Assume that the x's represent equal measures and that the dart is equally likely to land in any region on The board.)

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 3 } { 8 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 5 } { 8 }$ 
A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 3 } { 8 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 5 } { 8 }$

Question 12

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.
-The first marble is blue and the second marble is blue.

Accepted Answer

A)  0 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 1 } { 28 }$ 
A)  0 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 1 } { 28 }$

Question 13

Solve the problem.
-If 81% of scheduled airline flights actually take place, and cancellations are independent events, what is the probability that 3 separate flights will take place?

Accepted Answer

A) 0.53 
B) 0.81 
C) 0.01 
D) 0.66 
A) 0.53 
B) 0.81 
C) 0.01 
D) 0.66

Question 14

Find the probability.
-Two dice are rolled. Find the probability that the score on the dice is an even number.

Accepted Answer

A)  $\frac { 17 } { 36 }$ 
B)  $\frac { 19 } { 36 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 17 } { 36 }$ 
B)  $\frac { 19 } { 36 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 1 } { 2 }$

Question 15

Find the probability.
-A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has an even number?

Accepted Answer

A)  $\frac { 2 } { 13 }$ 
B)  $\frac { 13 } { 6 }$ 
C)  6 
D)  $\frac { 6 } { 13 }$ 
A)  $\frac { 2 } { 13 }$ 
B)  $\frac { 13 } { 6 }$ 
C)  6 
D)  $\frac { 6 } { 13 }$

Question 16

Solve the problem.
-What is the probability of a dart landing in the shaded region? (Assume that the x's represent equal measures and that the dart is equally likely to land in any region on The board.)

Accepted Answer

A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 1 } { 2 }$

Question 17

Solve the problem.
-What is the probability of a dart landing in the shaded region? (Assume that the x's represent equal measures and that the dart is equally likely to land in any region onThe board.)

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 3 } { 8 }$ 
A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 3 } { 8 }$

Question 18

Construct the requested tree diagram.
-Construct a tree diagram that shows all possible outcomes when three coins are tossed.

Accepted Answer

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

Question 19

Solve the problem.
-Assume that the probability is $\frac { 1 } { 2 }$ that a child born is a boy. What is the probability that a family with three children has just one boy?

Accepted Answer

A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 3 }$

Question 20

Determine whether the players have equal probabilities of winning.
-Toss two fair dice numbered 1 through 6. If the sum is 3, 5, 10, or 12, player 1 wins; if the sum is 2, 4, 9, or 11, player 2 wins.

Accepted Answer

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

Solve the problem. -If it has been determined that the probability of an earthquake occurring on a certain day in a certain area is 0.01, what are the odds against an earthquake?

Determine whether the players have equal probabilities of winning. -Draw a card from a regular deck. If a spade is drawn, player 1 wins; if a diamond is drawn, player 2 wins; otherwise player 3 wins.

Find the probability. -A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 7?

Solve the problem. -When a single card is drawn from an ordinary 52-card deck, find the odds in favor of getting a red 2 or a black 3.

Construct the requested tree diagram. -Construct a tree diagram that shows all possible outcomes when two coins are tossed.

List the elements in the sample space of the experiment. -A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.

Determine the number of outcomes as requested. -Two 6-sided dice are thrown. Determine the number of ways that a score of less than 4 can be obtained.

Find the probability. -When a single card is drawn from an ordinary 52-card deck, find the probability of getting the 7 of diamonds.

Solve the problem. -Two dice are rolled. Find the odds that the score on the dice is either 7 or 9.

Solve the problem. -What is the probability of a dart landing in the shaded region? (Assume that the x's represent equal measures and that the dart is equally likely to land in any region on The board.)

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability. -The first marble is blue and the second marble is blue.

Solve the problem. -If 81% of scheduled airline flights actually take place, and cancellations are independent events, what is the probability that 3 separate flights will take place?

Find the probability. -Two dice are rolled. Find the probability that the score on the dice is an even number.

Find the probability. -A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has an even number?

Solve the problem. -What is the probability of a dart landing in the shaded region? (Assume that the x's represent equal measures and that the dart is equally likely to land in any region on The board.)

Solve the problem. -What is the probability of a dart landing in the shaded region? (Assume that the x's represent equal measures and that the dart is equally likely to land in any region onThe board.)

Construct the requested tree diagram. -Construct a tree diagram that shows all possible outcomes when three coins are tossed.

Solve the problem. -Assume that the probability is $\frac { 1 } { 2 }$ that a child born is a boy. What is the probability that a family with three children has just one boy?

Determine whether the players have equal probabilities of winning. -Toss two fair dice numbered 1 through 6. If the sum is 3, 5, 10, or 12, player 1 wins; if the sum is 2, 4, 9, or 11, player 2 wins.

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 9: Probability

Solve the problem. -If it has been determined that the probability of an earthquake occurring on a certain day in a certain area is 0.01, what are the odds against an earthquake?

Determine whether the players have equal probabilities of winning. -Draw a card from a regular deck. If a spade is drawn, player 1 wins; if a diamond is drawn, player 2 wins; otherwise player 3 wins.

Find the probability. -A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 7?

Solve the problem. -When a single card is drawn from an ordinary 52-card deck, find the odds in favor of getting a red 2 or a black 3.

Construct the requested tree diagram. -Construct a tree diagram that shows all possible outcomes when two coins are tossed.

List the elements in the sample space of the experiment. -A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.

Determine the number of outcomes as requested. -Two 6-sided dice are thrown. Determine the number of ways that a score of less than 4 can be obtained.

Find the probability. -When a single card is drawn from an ordinary 52-card deck, find the probability of getting the 7 of diamonds.

Solve the problem. -Two dice are rolled. Find the odds that the score on the dice is either 7 or 9.

Solve the problem. -What is the probability of a dart landing in the shaded region? (Assume that the x's represent equal measures and that the dart is equally likely to land in any region on The board.)

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability. -The first marble is blue and the second marble is blue.

Solve the problem. -If 81% of scheduled airline flights actually take place, and cancellations are independent events, what is the probability that 3 separate flights will take place?

Find the probability. -Two dice are rolled. Find the probability that the score on the dice is an even number.

Find the probability. -A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has an even number?

Solve the problem. -What is the probability of a dart landing in the shaded region? (Assume that the x's represent equal measures and that the dart is equally likely to land in any region on The board.)

Solve the problem. -What is the probability of a dart landing in the shaded region? (Assume that the x's represent equal measures and that the dart is equally likely to land in any region onThe board.)

Construct the requested tree diagram. -Construct a tree diagram that shows all possible outcomes when three coins are tossed.

Solve the problem. -Assume that the probability is 12\frac { 1 } { 2 }21​ that a child born is a boy. What is the probability that a family with three children has just one boy?

Determine whether the players have equal probabilities of winning. -Toss two fair dice numbered 1 through 6. If the sum is 3, 5, 10, or 12, player 1 wins; if the sum is 2, 4, 9, or 11, player 2 wins.

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Solve the problem. -Assume that the probability is $\frac { 1 } { 2 }$ that a child born is a boy. What is the probability that a family with three children has just one boy?