Question 1

Solve the problem.
-What is the probability of spinning a 2 on this spinner?

Accepted Answer

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

Question 2

List the elements in the sample space of the experiment.
-A box contains 13 white cards numbered 1 through 13. List the sample space of the event choosing one card with a number greater than 6.

Accepted Answer

A) {6, 7, 8, 9, 10, 11, 12, 13} 
B) {11} 
C) {7, 8, 9, 10, 11, 12, 13} 
D) {1, 2, 3, . . ., 13} 
A) {6, 7, 8, 9, 10, 11, 12, 13} 
B) {11} 
C) {7, 8, 9, 10, 11, 12, 13} 
D) {1, 2, 3, . . ., 13}

Question 3

Solve the problem.
-When a single card is drawn from an ordinary 52-card deck, find the odds in favor of getting the 4 of spades.

Accepted Answer

A) 4 : 12 
B) 13 : 51 
C) 2 : 51 
D) 1 : 51 
A) 4 : 12 
B) 13 : 51 
C) 2 : 51 
D) 1 : 51

Question 4

Find the probability.
-A spinner has regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 7 } { 9 }$ 
D)  12 
A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 7 } { 9 }$ 
D)  12

Question 5

Solve the problem.
-What is the probability that the arrow will land on 3 or 5?

Accepted Answer

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

Question 6

Construct the requested tree diagram.
-Construct a tree diagram that shows all possible 2-letter code words using only the letters w, x, and y with no repetitions.

Accepted Answer

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

Question 7

List the elements in the sample space of the experiment.
-A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. List the sample space of picking a blue card followed by a green card.

Accepted Answer

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

Question 8

Find the requested probability.
-A box contains the following mixture of colored marbles: 2 black, 1 red, 2 yellow, and 3 green. What is the probability of drawing, in order, a yellow marble, a red marble, and a black marble if The three marbles are drawn without replacement?

Accepted Answer

A)  $\frac { 1 } { 336 }$ 
B)  $\frac { 1 } { 168 }$ 
C)  $\frac { 1 } { 16 }$ 
D)  $\frac { 1 } { 84 }$ 
A)  $\frac { 1 } { 336 }$ 
B)  $\frac { 1 } { 168 }$ 
C)  $\frac { 1 } { 16 }$ 
D)  $\frac { 1 } { 84 }$

Question 9

Find the probability.
-One digit from the number 9,848,778 is written on each of seven cards. What is the probability of drawing a card that shows 9, 8, or 4?

Accepted Answer

A)  $\frac { 9 } { 7 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 4 } { 7 }$ 
D)  $\frac { 3 } { 7 }$ 
A)  $\frac { 9 } { 7 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 4 } { 7 }$ 
D)  $\frac { 3 } { 7 }$

Question 10

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

Accepted Answer

A)  $\frac { 3 } { 52 }$ 
B)  $\frac { 1 } { 52 }$ 
C)  $\frac { 1 } { 13 }$ 
D)  $\frac { 1 } { 26 }$ 
A)  $\frac { 3 } { 52 }$ 
B)  $\frac { 1 } { 52 }$ 
C)  $\frac { 1 } { 13 }$ 
D)  $\frac { 1 } { 26 }$

Question 11

Solve the problem.
-Two dice are rolled. Find the odds that the score on the dice is 4.

Accepted Answer

A) 5 : 31 
B) 1 : 11 
C) 1 : 2 
D) 1 : 4 
A) 5 : 31 
B) 1 : 11 
C) 1 : 2 
D) 1 : 4

Question 12

Find the probability.
-One digit from the number 8,565,335 is written on each of seven cards. What is the probability of drawing a card that shows 8 or 3?

Accepted Answer

A)  $\frac { 8 } { 7 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 3 } { 7 }$ 
D)  $\frac { 2 } { 7 }$ 
A)  $\frac { 8 } { 7 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 3 } { 7 }$ 
D)  $\frac { 2 } { 7 }$

Question 13

Find the probability.
-A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?

Accepted Answer

A)  9 
B)  $\frac { 11 } { 9 }$ 
C)  $\frac { 2 } { 11 }$ 
D)  $\frac { 9 } { 11 }$ 
A)  9 
B)  $\frac { 11 } { 9 }$ 
C)  $\frac { 2 } { 11 }$ 
D)  $\frac { 9 } { 11 }$

Question 14

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

Accepted Answer

A)  $\frac { 3 } { 28 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 3 } { 28 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 1 } { 4 }$

Question 15

List the elements in the sample space of the experiment.
-An 8-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6, 7, 8. List the sample space of rolling one die.

Accepted Answer

A) None of these 
B) {8} 
C) {64} 
D) {1, 2, 3, 4, 5, 6, 7, 8} 
A) None of these 
B) {8} 
C) {64} 
D) {1, 2, 3, 4, 5, 6, 7, 8}

Question 16

Solve the problem.
-A fair die is tossed. What are the odds in favor of the cube showing a 4?

Accepted Answer

A) 1:4 
B) 1:5 
C) 2:3 
D) 1:6 
A) 1:4 
B) 1:5 
C) 2:3 
D) 1:6

Question 17

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 red and the second marble is white.

Accepted Answer

A)  $\frac { 3 } { 56 }$ 
B)  $\frac { 3 } { 28 }$ 
C)  $\frac { 3 } { 8 }$ 
D)  $\frac { 3 } { 7 }$ 
A)  $\frac { 3 } { 56 }$ 
B)  $\frac { 3 } { 28 }$ 
C)  $\frac { 3 } { 8 }$ 
D)  $\frac { 3 } { 7 }$

Question 18

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

Accepted Answer

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

Question 19

Solve the problem.
-A fair die is tossed. What are the odds in favor of the cube showing a number less than 3?

Accepted Answer

A) 2:1 
B) 1:3 
C) 1:2 
D) 1:1 
A) 2:1 
B) 1:3 
C) 1:2 
D) 1:1

Question 20

Determine the number of outcomes as requested.
-Two 6-sided dice are thrown. Determine the number of ways that a score of 8 can be obtained.

Accepted Answer

A) 3 
B) 4 
C) 1 
D) 5 
A) 3 
B) 4 
C) 1 
D) 5

Solve the problem. -What is the probability of spinning a 2 on this spinner?

List the elements in the sample space of the experiment. -A box contains 13 white cards numbered 1 through 13. List the sample space of the event choosing one card with a number greater than 6.

Solve the problem. -When a single card is drawn from an ordinary 52-card deck, find the odds in favor of getting the 4 of spades.

Find the probability. -A spinner has regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Solve the problem. -What is the probability that the arrow will land on 3 or 5?

Construct the requested tree diagram. -Construct a tree diagram that shows all possible 2-letter code words using only the letters w, x, and y with no repetitions.

List the elements in the sample space of the experiment. -A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. List the sample space of picking a blue card followed by a green card.

Find the requested probability. -A box contains the following mixture of colored marbles: 2 black, 1 red, 2 yellow, and 3 green. What is the probability of drawing, in order, a yellow marble, a red marble, and a black marble if The three marbles are drawn without replacement?

Find the probability. -One digit from the number 9,848,778 is written on each of seven cards. What is the probability of drawing a card that shows 9, 8, or 4?

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

Solve the problem. -Two dice are rolled. Find the odds that the score on the dice is 4.

Find the probability. -One digit from the number 8,565,335 is written on each of seven cards. What is the probability of drawing a card that shows 8 or 3?

Find the probability. -A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?

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

List the elements in the sample space of the experiment. -An 8-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6, 7, 8. List the sample space of rolling one die.

Solve the problem. -A fair die is tossed. What are the odds in favor of the cube showing a 4?

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 red and the second marble is white.

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

Solve the problem. -A fair die is tossed. What are the odds in favor of the cube showing a number less than 3?

Determine the number of outcomes as requested. -Two 6-sided dice are thrown. Determine the number of ways that a score of 8 can be obtained.

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

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Exam 9: Probability