Question 1

Decide whether or not the events are mutually exclusive.
-Being over 30 and being in college

Accepted Answer

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

Question 2

What is the probability that 4 randomly selected people all have different birthdays?

Accepted Answer

A) 0.9891 
B) 0.9836 
C) 0.9729 
D) 0.9918 
A) 0.9891 
B) 0.9836 
C) 0.9729 
D) 0.9918

Question 3

Find the probability.
-A lottery game has balls numbered 0 through 9. If a ball is selected at random, what is the probability of selecting an even numbered ball or a 3?

Accepted Answer

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

Question 4

Find the probability.
-Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 4?

Accepted Answer

A)  3 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 1 } { 12 }$ 
D)  $\frac { 11 } { 12 }$ 
A)  3 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 1 } { 12 }$ 
D)  $\frac { 11 } { 12 }$

Question 5

Find the probability.
-When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the sum is a multiple of 3 or greater than 4.

Accepted Answer

A)  $\frac { 13 } { 36 }$ 
B)  $\frac { 8 } { 9 }$ 
C)  $\frac { 11 } { 12 }$ 
D)  $\frac { 5 } { 6 }$ 
A)  $\frac { 13 } { 36 }$ 
B)  $\frac { 8 } { 9 }$ 
C)  $\frac { 11 } { 12 }$ 
D)  $\frac { 5 } { 6 }$

Question 6

Find the conditional probability.
-If two cards are drawn at random without replacement from a standard deck, find the probability that the second card is a spade, given that the first card was a spade.

Accepted Answer

A)  $\frac { 11 } { 51 }$ 
B)  $\frac { 4 } { 17 }$ 
C)  $\frac { 3 } { 13 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 11 } { 51 }$ 
B)  $\frac { 4 } { 17 }$ 
C)  $\frac { 3 } { 13 }$ 
D)  $\frac { 1 } { 4 }$

Question 7

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 royal flush (5 highest cards of a single suit)

Accepted Answer

A) 0.00198 
B) 0.000275 
C) 0.00000154 
D) 0.000000385 
A) 0.00198 
B) 0.000275 
C) 0.00000154 
D) 0.000000385

Question 8

Find the probability.
-If you are dealt two cards successively (with replacement of the first)from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.

Accepted Answer

A)  $\frac { 1 } { 204 }$ 
B)  $\frac { 13 } { 204 }$ 
C)  $\frac { 1 } { 16 }$ 
D)  $\frac { 1 } { 169 }$ 
A)  $\frac { 1 } { 204 }$ 
B)  $\frac { 13 } { 204 }$ 
C)  $\frac { 1 } { 16 }$ 
D)  $\frac { 1 } { 169 }$

Question 9

Find the indicated probability.
-The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency table below summarizes the results. $$\begin{array} { r | c } 
\begin{array} { r } 
\text { Waiting Time } \
\text { (minutes) }
\end{array} & \begin{array} { c } 
\text { Number of } \
\text { Customers }
\end{array} \
\hline 0 - 3 & 10 \
4 - 7 & 13 \
8 - 11 & 14 \
12 - 15 & 4 \
16 - 19 & 6 \
20 - 23 & 2 \
24 - 27 & 2
\end{array}$$ If one of these customers is selected at random, what is the probability that their waiting time is at
Least 12 minutes or between 8 and 15 minutes?

Accepted Answer

A) 0.692 
B) 0.078 
C) 0.549 
D) 0.627 
A) 0.692 
B) 0.078 
C) 0.549 
D) 0.627

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 poker, four of a kind (4 cards of the same value)

Accepted Answer

A) 0.000240 
B) 0.0000200 
C) 0.0000185 
D) 0.000434 
A) 0.000240 
B) 0.0000200 
C) 0.0000185 
D) 0.000434

Question 11

Mendel found that flower color in certain pea plants obeyed this scheme: Pure red crossed with pure white produces red. When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of Each gene)produces second generation offspring with red flowers, since red is dominant. Suppose One of these second generation Rr flowers is crossed with a pure white. What is the probability That the resulting plant will have red flowers?

Accepted Answer

A) 0.25 
B) 0.5 
C) 0 
D) 0.75 
A) 0.25 
B) 0.5 
C) 0 
D) 0.75

Question 12

Give the probability that the spinner shown would land on the indicated color.
-black

Accepted Answer

A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 1 } { 6 }$ 
A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 1 } { 6 }$

Question 13

Find the indicated probability.
-The table shows the distribution of family size in a certain U.S. city $$\begin{array} { c c } 
\text { Family Size } & \text { Probability } \
\hline 2 & 0.450 \
3 & 0.209 \
4 & 0.201 \
5 & 0.095 \
6 & 0.029 \
7 + & 0.016
\end{array}$$ A family is selected at random from the city. Find the probability that the size of the family is between 2 and 5 inclusive. Round approximations to three decimal places.

Accepted Answer

A) 0.955 
B) 0.41 
C) 0.86 
D) 0.545 
A) 0.955 
B) 0.41 
C) 0.86 
D) 0.545

Question 14

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 fall play. What is the probability that no boys will be chosen? Order is not
Important.

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 5 } { 6 }$ 
C)  $\frac { 2 } { 7 }$ 
D)  $\frac { 6 } { 11 }$ 
A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 5 } { 6 }$ 
C)  $\frac { 2 } { 7 }$ 
D)  $\frac { 6 } { 11 }$

Question 15

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 straight flush (5 in a row in a single suit)

Accepted Answer

A) 0.0000139 
B) 0.00000923 
C) 0.0000123 
D) 0.00000231 
A) 0.0000139 
B) 0.00000923 
C) 0.0000123 
D) 0.00000231

Question 16

Find the probability.
-If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years. Assume that all days of the year are equally likely for a given birth.

Accepted Answer

A)  $\frac { 1 } { 365 }$ 
B)  $\frac { 1 } { 12 }$ 
C)  $\frac { 31 } { 365 }$ 
D)  $\frac { 1 } { 31 }$ 
A)  $\frac { 1 } { 365 }$ 
B)  $\frac { 1 } { 12 }$ 
C)  $\frac { 31 } { 365 }$ 
D)  $\frac { 1 } { 31 }$

Question 17

Give the probability that the spinner shown would land on the indicated color.
-grey

Accepted Answer

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

Question 18

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

Accepted Answer

A)  $\frac { 3 } { 28 }$ 
B)  $\frac { 9 } { 56 }$ 
C)  $\frac { 3 } { 8 }$ 
D)  $\frac { 3 } { 32 }$ 
A)  $\frac { 3 } { 28 }$ 
B)  $\frac { 9 } { 56 }$ 
C)  $\frac { 3 } { 8 }$ 
D)  $\frac { 3 } { 32 }$

Question 19

Find the indicated probability.
-A bag contains 5 red marbles, 4 blue marbles, and 1 green marble. If a marble is selected at random, what is the probability that it is not blue?

Accepted Answer

A)  $\frac { 5 } { 3 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  6 
A)  $\frac { 5 } { 3 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  6

Question 20

Mendel found no dominance in snapdragons with respect to red and white flower color. When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of each Gene)produces second generation offspring with pink flowers. Suppose one of these second Generation pinks is crossed with a pure red. What is the probability that the resulting snapdragon
Will have white flowers?

Accepted Answer

A) 0.25 
B) 0.75 
C) 0 
D) 0.5 
A) 0.25 
B) 0.75 
C) 0 
D) 0.5

Decide whether or not the events are mutually exclusive. -Being over 30 and being in college

What is the probability that 4 randomly selected people all have different birthdays?

Find the probability. -A lottery game has balls numbered 0 through 9. If a ball is selected at random, what is the probability of selecting an even numbered ball or a 3?

Find the probability. -Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 4?

Find the probability. -When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the sum is a multiple of 3 or greater than 4.

Find the conditional probability. -If two cards are drawn at random without replacement from a standard deck, find the probability that the second card is a spade, given that the first card was a spade.

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 royal flush (5 highest cards of a single suit)

Find the probability. -If you are dealt two cards successively (with replacement of the first)from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.

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, four of a kind (4 cards of the same value)

Give the probability that the spinner shown would land on the indicated color. -black

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 fall play. What is the probability that no boys 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 straight flush (5 in a row in a single suit)

Find the probability. -If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years. Assume that all days of the year are equally likely for a given birth.

Give the probability that the spinner shown would land on the indicated color. -grey

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

Find the indicated probability. -A bag contains 5 red marbles, 4 blue marbles, and 1 green marble. If a marble is selected at random, what is the probability that it is not blue?

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

Decide whether or not the events are mutually exclusive. -Being over 30 and being in college

What is the probability that 4 randomly selected people all have different birthdays?

Find the probability. -A lottery game has balls numbered 0 through 9. If a ball is selected at random, what is the probability of selecting an even numbered ball or a 3?

Find the probability. -Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 4?

Find the probability. -When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the sum is a multiple of 3 or greater than 4.

Find the conditional probability. -If two cards are drawn at random without replacement from a standard deck, find the probability that the second card is a spade, given that the first card was a spade.

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 royal flush (5 highest cards of a single suit)

Find the probability. -If you are dealt two cards successively (with replacement of the first)from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.

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, four of a kind (4 cards of the same value)

Give the probability that the spinner shown would land on the indicated color. -black

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 fall play. What is the probability that no boys 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 straight flush (5 in a row in a single suit)

Find the probability. -If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years. Assume that all days of the year are equally likely for a given birth.

Give the probability that the spinner shown would land on the indicated color. -grey

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

Find the indicated probability. -A bag contains 5 red marbles, 4 blue marbles, and 1 green marble. If a marble is selected at random, what is the probability that it is not blue?

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