Question 1

Find the probability.
-Two dice are rolled. Find the probability that the score on the dice is at least 10.

Accepted Answer

A)  $\frac { 5 } { 36 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 11 } { 36 }$ 
D)  $\frac { 1 } { 6 }$ 
A)  $\frac { 5 } { 36 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 11 } { 36 }$ 
D)  $\frac { 1 } { 6 }$

Question 2

Solve the problem.
-In the past, Michael has had the following success when shooting after having been fouled. $30 \% , 30 \%$ $40 \%$ of the time he will get 0,1 , or 2 points. Use the following set of random digits to simulate $100 \mathrm { fr }$ throws. Begin at the top of the first column $\{ 1,1,8$, etc., to the bottom $\}$, then move to the top of the se row $\{ 8,5,9$, etc. $\}$. Use the following: $0 - 3 = 1$ point, $4 - 6 = 2$ points and $7 - 9 = 0$ points. Estimate the probability that on a given occasior Michael will score 2 points the next time he is fouled.
$\begin{array} { l l l l } 18728 & 94741 & 32063 & 04963 \ 15592 & 71357 & 28152 & 11732 \ 89555 & 75520 & 08882 & 95295 \ 38894 & 58070 & 77371 & 10194 \ 64336 & 95103 & 90740 & 03577 \end{array}$

Accepted Answer

A)  $\frac { 13 } { 50 }$ 
B)  $\frac { 30 } { 100 }$ 
C)  $\frac { 40 } { 100 }$ 
D)  $\frac { 1 } { 4 }$ and 
A)  $\frac { 13 } { 50 }$ 
B)  $\frac { 30 } { 100 }$ 
C)  $\frac { 40 } { 100 }$ 
D)  $\frac { 1 } { 4 }$ and

Question 3

Solve the problem.
-A basketball player with a free throw shooting percentage of 80% gets fouled and goes to the line to shoot two free throws. What are the odds in favor of her making her first shot?

Accepted Answer

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

Question 4

Construct the requested tree diagram.
-Construct a tree diagram that shows all possible 2 -letter code words using only the letters c and d without repetition.

Accepted Answer

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

Question 5

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 white and the second marble is blue.

Accepted Answer

A)  $\frac { 3 } { 64 }$ 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 3 } { 56 }$ 
A)  $\frac { 3 } { 64 }$ 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 3 } { 56 }$

Question 6

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

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 5 } { 6 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 1 } { 8 }$ 
A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 5 } { 6 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 1 } { 8 }$

Question 7

Determine the number of outcomes as requested.
-If a single card is drawn from a standard 52-card deck, in how many ways could it be an ace or a spade?

Accepted Answer

A) 4 
B) 17 
C) 1 
D) 16 
A) 4 
B) 17 
C) 1 
D) 16

Question 8

List the elements in the sample space of the experiment.
-A group of 15 people is assigned numbers 1 through 15. List the sample space of the event choosing a person with a number 5 or less.

Accepted Answer

A) {1, 2, 3, 4, 5} 
B) {15} 
C) {1, 2, 3, 4} 
D) {1} 
A) {1, 2, 3, 4, 5} 
B) {15} 
C) {1, 2, 3, 4} 
D) {1}

Question 9

Solve the problem.
-A football player with a field goal kicking percentage of 60% for kicks of 40 yards or less attempts a final-minute field goal of 32 yards. What are the odds in favor of a successful kick?

Accepted Answer

A) 3 to 2 
B) 2 to 3 
C) 3 to 5 
D) 5 to 3 
A) 3 to 2 
B) 2 to 3 
C) 3 to 5 
D) 5 to 3

Question 10

Solve the problem.
-There are 25 fish in a pond. We know that 11 of these fish are males, 6 of these males are salmon, and there are 8 salmon in the pond. What is the probability that a randomly chosen fish is a salmon, given that it is a male?

Accepted Answer

A)  $\frac { 8 } { 25 }$ 
B)  $\frac { 6 } { 25 }$ 
C)   $\frac { 6 } { 11 }$ 
D)  $\frac { 11 } { 25 }$ 
A)  $\frac { 8 } { 25 }$ 
B)  $\frac { 6 } { 25 }$ 
C)   $\frac { 6 } { 11 }$ 
D)  $\frac { 11 } { 25 }$

Question 11

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

Accepted Answer

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

Question 12

Find the requested probability.
-A box contains the following mixture of colored marbles: 5 black, 3 red, 3 yellow, and 1 green. What is the probability of drawing three marbles of the following colors, in order, if they are drawn Without replacement: black, green, black?

Accepted Answer

A)  $\frac { 1 } { 66 }$ 
B)  $\frac { 1 } { 1320 }$ 
C)  $\frac { 1 } { 264 }$ 
D)  $\frac { 5 } { 36 }$ 
A)  $\frac { 1 } { 66 }$ 
B)  $\frac { 1 } { 1320 }$ 
C)  $\frac { 1 } { 264 }$ 
D)  $\frac { 5 } { 36 }$

Question 13

Determine whether the players have equal probabilities of winning.
-Draw two cards from a regular deck. If cards of the same suit are drawn, player 1 wins; if cards of the same number are drawn, player 2 wins.

Accepted Answer

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

Question 14

Solve the problem.
-In a certain population, the probability that a woman has red hair is $\frac { 1 } { 2 } \text {. }$ If a woman has red hair, the probability of her having freckles is $\frac { 5 } { 9 }$ If she does not have red hair, the probability of her having freckles is $\frac { 1 } { 10 } .$ If a woman is chosen at random from the population, what is the probability that she will have freckles?

Accepted Answer

A)  $\frac { 59 } { 180 }$ 
B)  $\frac { 1 } { 20 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 17 } { 45 }$ 
A)  $\frac { 59 } { 180 }$ 
B)  $\frac { 1 } { 20 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 17 } { 45 }$

Question 15

Solve the problem.
-Twenty families recently purchased new vehicles. 6 of the vehicles were white, 4 of the vehicles were minivans, and 2 of the vehicles were white minivans. What is the probability that a randomly
Chosen family purchased a white vehicle?

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 3 } { 10 }$ 
A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 3 } { 10 }$

Question 16

Solve the problem.
-A husband and wife have a $\frac { 1 } { 2 }$ probability of passing on brown eyes to their children. If they have three children, what is the probability that only one will have brown eyes?

Accepted Answer

A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 1 } { 64 }$ 
C)  $\frac { 3 } { 64 }$ 
D)  $\frac { 1 } { 8 }$ 
A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 1 } { 64 }$ 
C)  $\frac { 3 } { 64 }$ 
D)  $\frac { 1 } { 8 }$

Question 17

Find the requested probability.
-A box contains the eleven letters, MISSISSIPPI. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is SIPS?

Accepted Answer

A)  $\frac { 2 } { 165 }$ 
B)  $\frac { 2 } { 495 }$ 
C)  $\frac { 4 } { 11 }$ 
D)  $\frac { 128 } { 14641 }$ 
A)  $\frac { 2 } { 165 }$ 
B)  $\frac { 2 } { 495 }$ 
C)  $\frac { 4 } { 11 }$ 
D)  $\frac { 128 } { 14641 }$

Question 18

Solve the problem.
-Assume that the probability is $\frac { 1 } { 2 }$ that a child born is a boy. What is the probability that of the four children in a family two are girls and two are boys?

Accepted Answer

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

Question 19

Determine the number of outcomes as requested.
-Give the number of possible outcomes for choosing a 4-digit number if each digit is chosen at random. The first digit may be a zero. Repetition is allowed.

Accepted Answer

A) 10,000 
B) 40 
C) 1000 
D) 100,000 
A) 10,000 
B) 40 
C) 1000 
D) 100,000

Question 20

Construct the requested tree diagram.
-Construct a tree diagram that shows all possible 3-letter code words using only the letters p, q, and r without repetition.

Accepted Answer

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

Find the probability. -Two dice are rolled. Find the probability that the score on the dice is at least 10.

Solve the problem. -A basketball player with a free throw shooting percentage of 80% gets fouled and goes to the line to shoot two free throws. What are the odds in favor of her making her first shot?

Construct the requested tree diagram. -Construct a tree diagram that shows all possible 2 -letter code words using only the letters c and d without repetition.

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 white and the second marble is blue.

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

Determine the number of outcomes as requested. -If a single card is drawn from a standard 52-card deck, in how many ways could it be an ace or a spade?

List the elements in the sample space of the experiment. -A group of 15 people is assigned numbers 1 through 15. List the sample space of the event choosing a person with a number 5 or less.

Solve the problem. -A football player with a field goal kicking percentage of 60% for kicks of 40 yards or less attempts a final-minute field goal of 32 yards. What are the odds in favor of a successful kick?

Solve the problem. -There are 25 fish in a pond. We know that 11 of these fish are males, 6 of these males are salmon, and there are 8 salmon in the pond. What is the probability that a randomly chosen fish is a salmon, given that it is a male?

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

Find the requested probability. -A box contains the following mixture of colored marbles: 5 black, 3 red, 3 yellow, and 1 green. What is the probability of drawing three marbles of the following colors, in order, if they are drawn Without replacement: black, green, black?

Determine whether the players have equal probabilities of winning. -Draw two cards from a regular deck. If cards of the same suit are drawn, player 1 wins; if cards of the same number are drawn, player 2 wins.

Solve the problem. -Twenty families recently purchased new vehicles. 6 of the vehicles were white, 4 of the vehicles were minivans, and 2 of the vehicles were white minivans. What is the probability that a randomly Chosen family purchased a white vehicle?

Solve the problem. -A husband and wife have a $\frac { 1 } { 2 }$ probability of passing on brown eyes to their children. If they have three children, what is the probability that only one will have brown eyes?

Find the requested probability. -A box contains the eleven letters, MISSISSIPPI. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is SIPS?

Solve the problem. -Assume that the probability is $\frac { 1 } { 2 }$ that a child born is a boy. What is the probability that of the four children in a family two are girls and two are boys?

Determine the number of outcomes as requested. -Give the number of possible outcomes for choosing a 4-digit number if each digit is chosen at random. The first digit may be a zero. Repetition is allowed.

Construct the requested tree diagram. -Construct a tree diagram that shows all possible 3-letter code words using only the letters p, q, and r without repetition.

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