Question 1

Solve the problem.
- 
What are the odds in favor of spinning an A on this spinner?

Accepted Answer

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

Question 2

Find the probability.
-A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is
Made.

Accepted Answer

A) 0.0144 
B) 0.176 
C) 0.7733 
D) 0.7744 
A) 0.0144 
B) 0.176 
C) 0.7733 
D) 0.7744

Question 3

Find the probability.
-When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 8.

Accepted Answer

A)  $\frac { 5 } { 18 }$ 
B)  $\frac { 11 } { 36 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 36 }$ 
A)  $\frac { 5 } { 18 }$ 
B)  $\frac { 11 } { 36 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 36 }$

Question 4

Find the probability.
-Three fair coins are tossed. Find the probability of getting exactly two tails.

Accepted Answer

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

Question 5

Solve the problem.
-Two distinct even numbers are selected at random from the first ten even numbers greater than zero. What is the probability that the sum is 30?

Accepted Answer

A)  $\frac { 2 } { 45 }$ 
B)  $\frac { 1 } { 45 }$ 
C)  $\frac { 1 } { 15 }$ 
D)  $\frac { 1 } { 10 }$ 
A)  $\frac { 2 } { 45 }$ 
B)  $\frac { 1 } { 45 }$ 
C)  $\frac { 1 } { 15 }$ 
D)  $\frac { 1 } { 10 }$

Question 6

Determine whether the events are independent.
-Two cards are selected at random from a standard deck of 52 cards without replacement. Are the events "ace on the first draw" and "ace on the second draw" independent?

Accepted Answer

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

Question 7

Find the probability.
-A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a red card?

Accepted Answer

A)  $\frac { 15 } { 26 }$ 
B)  $\frac { 19 } { 26 }$ 
C)  $\frac { 8 } { 13 }$ 
D)  $\frac { 9 } { 13 }$ 
A)  $\frac { 15 } { 26 }$ 
B)  $\frac { 19 } { 26 }$ 
C)  $\frac { 8 } { 13 }$ 
D)  $\frac { 9 } { 13 }$

Question 8

Find the conditional probability.
-If two fair dice are rolled, find the probability that the numbers rolled form a "double" given that their sum is 11.

Accepted Answer

A)  0 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  0 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 3 }$

Question 9

If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.10, what are the odds against a direct hit?

Accepted Answer

A) 1 to 10 
B) 9 to 1 
C) 10 to 1 
D) 8 to 1 
A) 1 to 10 
B) 9 to 1 
C) 10 to 1 
D) 8 to 1

Question 10

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards.
-In bridge, exactly 3 kings and exactly 3 queens

Accepted Answer

A) 0.00097 
B) 0.00018 
C) 0.00337 
D) 0.00024 
A) 0.00097 
B) 0.00018 
C) 0.00337 
D) 0.00024

Question 11

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards.
-In bridge, 6 of one suit, 4 of another, and 3 of another

Accepted Answer

A) 0.0022 
B) 0.0060 
C) 0.0133 
D) 0.00055 
A) 0.0022 
B) 0.0060 
C) 0.0133 
D) 0.00055

Question 12

The table shows the number of college students who prefer a given pizza topping. $$\begin{array} { r | r r r r } 
\text { toppings } & \text { freshman } & \text { sophomore } & \text { junior } & \text { senior } \
\hline \text { cheese } & 16 & 13 & 20 & 23 \
\text { meat } & 19 & 23 & 13 & 16 \
\text { veggie } & 13 & 16 & 19 & 23
\end{array}$$ Find the empirical probability that a randomly selected junior prefers meat toppings.

Accepted Answer

A) 0.061 
B) 0.250 
C) 0.183 
D) 0.279 
A) 0.061 
B) 0.250 
C) 0.183 
D) 0.279

Question 13

In a poll, respondents were asked whether they had ever been in a car accident. 313 respondents indicated that they had been in a car accident and 360 respondents said that they had not been in a Car accident. If one of these respondents is randomly selected, what is the probability of getting Someone who has been in a car accident?

Accepted Answer

A) 0.535 
B) 0.869 
C) 0.465 
D) 0.003 
A) 0.535 
B) 0.869 
C) 0.465 
D) 0.003

Question 14

Solve the problem.
-If 3 boys and 2 girls are arranged at random in a row, what is the probability that two boys will not be in adjacent seats?

Accepted Answer

A)  $\frac { 12 } { 5 ! }$ 
B)  $\frac { 3 } { 5 ! }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 2 ! } { 5 ! }$ 
A)  $\frac { 12 } { 5 ! }$ 
B)  $\frac { 3 } { 5 ! }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 2 ! } { 5 ! }$

Question 15

Solve the problem.
-A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds against the cube showing a 4?

Accepted Answer

A) 1:5 
B) 5:6 
C) 5:1 
D) 6:1 
A) 1:5 
B) 5:6 
C) 5:1 
D) 6:1

Question 16

Solve the problem.
-Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the spring play. What is the probability that one boy and one girl will be chosen?
Order is not important.

Accepted Answer

A)  $\frac { 1 } { 11 }$ 
B)  $\frac { 2 } { 11 }$ 
C)  $\frac { 40 } { 77 }$ 
D)  $\frac { 5 } { 6 }$ 
A)  $\frac { 1 } { 11 }$ 
B)  $\frac { 2 } { 11 }$ 
C)  $\frac { 40 } { 77 }$ 
D)  $\frac { 5 } { 6 }$

Question 17

Find the indicated probability.
-The table below shows the soft drinks preferences of people in three age groups. $\begin{array}{r|ccc} 
& \text { cola } & \text { root beer } & \text { lemon-lime } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$

If one of the 255 subjects is randomly selected, find the probability that the person drinks root beer given that they are over 40 .

Accepted Answer

A)  $\frac { 6 } { 17 }$ 
B)  $\frac { 2 } { 17 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  None of the above is correct. 
A)  $\frac { 6 } { 17 }$ 
B)  $\frac { 2 } { 17 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  None of the above is correct.

Question 18

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards.
-In poker, a full house (3 cards of one value, 2 of another value)

Accepted Answer

A) 0.00655 
B) 0.0000385 
C) 0.00000920 
D) 0.00144 
A) 0.00655 
B) 0.0000385 
C) 0.00000920 
D) 0.00144

Question 19

Decide whether or not the events are mutually exclusive.
-Being a male and being a nurse

Accepted Answer

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

Question 20

Decide whether or not the events are mutually exclusive.
-Events A and B defined as follows A card is drawn at random from a deck of cards. Event A is that the card obtained is a face card
And B is the event that the card obtained is a two.

Accepted Answer

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

Solve the problem. - What are the odds in favor of spinning an A on this spinner?

Find the probability. -A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is Made.

Find the probability. -When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 8.

Find the probability. -Three fair coins are tossed. Find the probability of getting exactly two tails.

Solve the problem. -Two distinct even numbers are selected at random from the first ten even numbers greater than zero. What is the probability that the sum is 30?

Determine whether the events are independent. -Two cards are selected at random from a standard deck of 52 cards without replacement. Are the events "ace on the first draw" and "ace on the second draw" independent?

Find the probability. -A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a red card?

Find the conditional probability. -If two fair dice are rolled, find the probability that the numbers rolled form a "double" given that their sum is 11.

If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.10, what are the odds against a direct hit?

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards. -In bridge, exactly 3 kings and exactly 3 queens

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards. -In bridge, 6 of one suit, 4 of another, and 3 of another

The table shows the number of college students who prefer a given pizza topping. toppings freshman sophomore junior senior cheese 16 13 20 23 meat 19 23 13 16 veggie 13 16 19 23 Find the empirical probability that a randomly selected junior prefers meat toppings.

Solve the problem. -If 3 boys and 2 girls are arranged at random in a row, what is the probability that two boys will not be in adjacent seats?

Solve the problem. -A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds against the cube showing a 4?

Solve the problem. -Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the spring play. What is the probability that one boy and one girl will be chosen? Order is not important.

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards. -In poker, a full house (3 cards of one value, 2 of another value)

Decide whether or not the events are mutually exclusive. -Being a male and being a nurse

Decide whether or not the events are mutually exclusive. -Events A and B defined as follows A card is drawn at random from a deck of cards. Event A is that the card obtained is a face card And B is the event that the card obtained is a two.

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 11: Probability

Solve the problem. - What are the odds in favor of spinning an A on this spinner?

Find the probability. -A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is Made.

Find the probability. -When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 8.

Find the probability. -Three fair coins are tossed. Find the probability of getting exactly two tails.

Solve the problem. -Two distinct even numbers are selected at random from the first ten even numbers greater than zero. What is the probability that the sum is 30?

Determine whether the events are independent. -Two cards are selected at random from a standard deck of 52 cards without replacement. Are the events "ace on the first draw" and "ace on the second draw" independent?

Find the probability. -A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a red card?

Find the conditional probability. -If two fair dice are rolled, find the probability that the numbers rolled form a "double" given that their sum is 11.

If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.10, what are the odds against a direct hit?

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards. -In bridge, exactly 3 kings and exactly 3 queens

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards. -In bridge, 6 of one suit, 4 of another, and 3 of another

The table shows the number of college students who prefer a given pizza topping. toppings freshman sophomore junior senior cheese 16 13 20 23 meat 19 23 13 16 veggie 13 16 19 23 Find the empirical probability that a randomly selected junior prefers meat toppings.

Solve the problem. -If 3 boys and 2 girls are arranged at random in a row, what is the probability that two boys will not be in adjacent seats?

Solve the problem. -A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds against the cube showing a 4?

Solve the problem. -Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the spring play. What is the probability that one boy and one girl will be chosen? Order is not important.

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards. -In poker, a full house (3 cards of one value, 2 of another value)

Decide whether or not the events are mutually exclusive. -Being a male and being a nurse

Decide whether or not the events are mutually exclusive. -Events A and B defined as follows A card is drawn at random from a deck of cards. Event A is that the card obtained is a face card And B is the event that the card obtained is a two.

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters