1.

Determine which of the

following numbers could not represent the probability of an
even.

0, 0.023, -0.7, 50%,,

2.

Identify the sample space of

the probability experiment and determine the number of
outcomes in the sample

space.

Randomly

choosing an even number between 1 and 10, inclusive

3.

Classify the statement as an

example of classical probability, empirical probability, or
subjective

probability. Explain your reasoning.

A study on a college

campus shows that 77% of the students like rap music.

4.

A family has four children. Use

the tree diagram to answer each question.

Choose the correct sample

space.

a.

{ (FFFF), (FFFM), (FFMM),

(FMMM), (MMMM) }

b.

{ (F), (M) }

c.

{ (FFFF), (FFFM), (FFMF),

(FFMM),(FMFF), (FMFM), (FMMF), (FMMM), (MFFF) , (MFFM),
(MFMF), (MFMM), (MMFF),

(MMFM), (MMMF), (MMMM) }

d.

{ (FFFF), (FFFM), (FFMM),

(FMMM), (MFFF), (MMFF), (MMMF), (MMMM) }

Choose the correct

outcome(s) of having exactly zero girls.

a.

{ (FFFF) }

b.

{ (MMMM) }

c.

{ (MMFF), (MFMF), (MFFM),

(FMMF), (FMFM), (FFMM) }

d.

{ (MMMF), (MMFM), (MFMM),

(FMMM) }

5.

Use the bar graph below, which

shows the highest level of education received by employees of
a company, to

find the probability that the highest level of education for
an employee chosen

at random is C.

6.

An individual stock is selected

at random from the portfolio represented by the
box-and-whisker plot shown to

the right. Find the probability that the stock price is (a)
less than $21, (b)

between $21 an $57, and (c) $34 or more.

7.

Determine whether the events E

and F are independent or dependent. Justify your answer.

a.

E: A person attaining a

position as a professor.

F: The same person attaining a PhD.

b.

E: A randomly selected person

having a high GPA.

F: Another randomly selected person having a low GPA.

c.

E: The rapid spread of a cocoa

plant disease.

F: The price of chocolate.

8.

The table below shows the

results of a survey in which 147 families were asked if they
own a computer and

if they will be taking a summer vacation this year.

a.

Find the probability that a

randomly selected family is not taking a summer vacation this
year.

b.

Find the probability that a

randomly selected family owns a computer.

c.

Find the probability a randomly

selected family is taking a summer vacation this year given
that they own a

computer.

d.

Find the probability a randomly

selected family is taking a summer vacation this year and
owns a computer.

e.

Are the events of owning a

computer and taking a summer vacation this year independent
or dependent

events?

9.

Suppose you just received a

shipment of eight televisions. Three of the televisions are
defective. If two

televisions are randomly selected, compute the probability
that both

televisions work. What is the probability at least one of the
two televisions

does not work?

10.

By rewriting the formula for

the multiplication rule, you can write a formula for finding
conditional

probabilities. The conditional probability of event B
occurring, given that

event A has occurred, is. Use the information

below to find the probability that a flight departed on time
given that it

arrives on time.

The probability that an

airplane flight departs on time is 0.89.

The probability that a

flight arrives on time is 0.87.

The probability that a

flight departs and arrives on time is 0.81.

11.

Determine whether the statement

is true or false. If it is false, rewrite it as a true
statement.

If two events are mutually

exclusive, they have no outcomes in common.

12.

During a 52-week period, a

company paid overtime wages for 19 weeks and hired temporary
help for 10 weeks.

During 6 weeks, the company paid overtime and hired temporary
help. Complete

parts (a) and (b) below.

a.

Are the events “selecting a

week that contained overtime wages” and “selecting a week
that contained

temporary help wages” mutually exclusive?

b.

If an auditor randomly examined

the payroll records for only one week, what is the
probability that the payroll

for that week contained overtime wages or temporary help
wages?

13.

The percent distribution of

live multiple-delivery births (three or more babies) in a
particular year for

women 15 to 54 years old is shown in the pie chart. Find each
probability.

a.

Randomly selecting a mother

30-39 years old

b.

Randomly selecting a mother not

30-39 years old

c.

Randomly selecting a mother

less than 45 years old

d.

Randomly selecting a mother at

least 20 years old

14.

Find P (A or B or C) for the

given probabilities.

P (A) = 0.34, P (B) =

0.27, P (C) = 0.17

P (A and B) = 0.11, P (A

and C) = 0.03, P (B and C) = 0.09

P (A and B and C) = 0.01

15.

When you calculating the number

of permutations of ndistinct objects

taken rat a time, what are you

counting?

16.

Evaluate the given expression

and express the result using format for writing numbers
(instead of scientific

notation).

47P2

17.

Perform the indicated

calculation.

18.

Decide if the situation

involves permutations, combinations, or neither. Explain your
reasoning.

The number of ways 20

people can line up in a row for concert tickets.

19.

Suppose Grant is going to burn

a compact disk (CD) that will contain 10 songs. In how many
ways can Grant

arrange the 10 songs on the CD?

20.

A horse race has 12 entries and

one person owns 5 of those horses. Assuming that there are no
ties, what is the

probability that those five horses finish first, second,
third, fourth, and

fifth (regardless of order)?

21.

In how many orders can three

broken computers and two broken scanners be repaired if (a)
there are

restrictions, (b) the scanners must be repaired first, and
(c) the computers

must be repaired first? (d) If the order of repairs has no
restrictions and the

order of repairs is done at random, what is the probability
that a scanner will

be repaired first?

1.

Determine which of the

following numbers could not represent the probability of an
even.

0, 0.023, -0.7, 50%,,

2.

Identify the sample space of

the probability experiment and determine the number of
outcomes in the sample

space.

Randomly

choosing an even number between 1 and 10, inclusive

3.

Classify the statement as an

example of classical probability, empirical probability, or
subjective

probability. Explain your reasoning.

A study on a college

campus shows that 77% of the students like rap music.

4.

A family has four children. Use

the tree diagram to answer each question.

Choose the correct sample

space.

a.

{ (FFFF), (FFFM), (FFMM),

(FMMM), (MMMM) }

b.

{ (F), (M) }

c.

{ (FFFF), (FFFM), (FFMF),

(FFMM),(FMFF), (FMFM), (FMMF), (FMMM), (MFFF) , (MFFM),
(MFMF), (MFMM), (MMFF),

(MMFM), (MMMF), (MMMM) }

d.

{ (FFFF), (FFFM), (FFMM),

(FMMM), (MFFF), (MMFF), (MMMF), (MMMM) }

Choose the correct

outcome(s) of having exactly zero girls.

a.

{ (FFFF) }

b.

{ (MMMM) }

c.

{ (MMFF), (MFMF), (MFFM),

(FMMF), (FMFM), (FFMM) }

d.

{ (MMMF), (MMFM), (MFMM),

(FMMM) }

5.

Use the bar graph below, which

shows the highest level of education received by employees of
a company, to

find the probability that the highest level of education for
an employee chosen

at random is C.

6.

An individual stock is selected

at random from the portfolio represented by the
box-and-whisker plot shown to

the right. Find the probability that the stock price is (a)
less than $21, (b)

between $21 an $57, and (c) $34 or more.

7.

Determine whether the events E

and F are independent or dependent. Justify your answer.

a.

E: A person attaining a

position as a professor.

F: The same person attaining a PhD.

b.

E: A randomly selected person

having a high GPA.

F: Another randomly selected person having a low GPA.

c.

E: The rapid spread of a cocoa

plant disease.

F: The price of chocolate.

8.

The table below shows the

results of a survey in which 147 families were asked if they
own a computer and

if they will be taking a summer vacation this year.

a.

Find the probability that a

randomly selected family is not taking a summer vacation this
year.

b.

Find the probability that a

randomly selected family owns a computer.

c.

Find the probability a randomly

selected family is taking a summer vacation this year given
that they own a

computer.

d.

Find the probability a randomly

selected family is taking a summer vacation this year and
owns a computer.

e.

Are the events of owning a

computer and taking a summer vacation this year independent
or dependent

events?

9.

Suppose you just received a

shipment of eight televisions. Three of the televisions are
defective. If two

televisions are randomly selected, compute the probability
that both

televisions work. What is the probability at least one of the
two televisions

does not work?

10.

By rewriting the formula for

the multiplication rule, you can write a formula for finding
conditional

probabilities. The conditional probability of event B
occurring, given that

event A has occurred, is. Use the information

below to find the probability that a flight departed on time
given that it

arrives on time.

The probability that an

airplane flight departs on time is 0.89.

The probability that a

flight arrives on time is 0.87.

The probability that a

flight departs and arrives on time is 0.81.

11.

Determine whether the statement

is true or false. If it is false, rewrite it as a true
statement.

If two events are mutually

exclusive, they have no outcomes in common.

12.

During a 52-week period, a

company paid overtime wages for 19 weeks and hired temporary
help for 10 weeks.

During 6 weeks, the company paid overtime and hired temporary
help. Complete

parts (a) and (b) below.

a.

Are the events “selecting a

week that contained overtime wages” and “selecting a week
that contained

temporary help wages” mutually exclusive?

b.

If an auditor randomly examined

the payroll records for only one week, what is the
probability that the payroll

for that week contained overtime wages or temporary help
wages?

13.

The percent distribution of

live multiple-delivery births (three or more babies) in a
particular year for

women 15 to 54 years old is shown in the pie chart. Find each
probability.

a.

Randomly selecting a mother

30-39 years old

b.

Randomly selecting a mother not

30-39 years old

c.

Randomly selecting a mother

less than 45 years old

d.

Randomly selecting a mother at

least 20 years old

14.

Find P (A or B or C) for the

given probabilities.

P (A) = 0.34, P (B) =

0.27, P (C) = 0.17

P (A and B) = 0.11, P (A

and C) = 0.03, P (B and C) = 0.09

P (A and B and C) = 0.01

15.

When you calculating the number

of permutations of ndistinct objects

taken rat a time, what are you

counting?

16.

Evaluate the given expression

and express the result using format for writing numbers
(instead of scientific

notation).

47P2

17.

Perform the indicated

calculation.

18.

Decide if the situation

involves permutations, combinations, or neither. Explain your
reasoning.

The number of ways 20

people can line up in a row for concert tickets.

19.

Suppose Grant is going to burn

a compact disk (CD) that will contain 10 songs. In how many
ways can Grant

arrange the 10 songs on the CD?

20.

A horse race has 12 entries and

one person owns 5 of those horses. Assuming that there are no
ties, what is the

probability that those five horses finish first, second,
third, fourth, and

fifth (regardless of order)?

21.

In how many orders can three

broken computers and two broken scanners be repaired if (a)
there are

restrictions, (b) the scanners must be repaired first, and
(c) the computers

must be repaired first? (d) If the order of repairs has no
restrictions and the

order of repairs is done at random, what is the probability
that a scanner will

be repaired first?

1.

Determine which of the

following numbers could not represent the probability of an
even.

0, 0.023, -0.7, 50%,,

2.

Identify the sample space of

the probability experiment and determine the number of
outcomes in the sample

space.

Randomly

choosing an even number between 1 and 10, inclusive

3.

Classify the statement as an

example of classical probability, empirical probability, or
subjective

probability. Explain your reasoning.

A study on a college

campus shows that 77% of the students like rap music.

4.

A family has four children. Use

the tree diagram to answer each question.

Choose the correct sample

space.

a.

{ (FFFF), (FFFM), (FFMM),

(FMMM), (MMMM) }

b.

{ (F), (M) }

c.

{ (FFFF), (FFFM), (FFMF),

(FFMM),(FMFF), (FMFM), (FMMF), (FMMM), (MFFF) , (MFFM),
(MFMF), (MFMM), (MMFF),

(MMFM), (MMMF), (MMMM) }

d.

{ (FFFF), (FFFM), (FFMM),

(FMMM), (MFFF), (MMFF), (MMMF), (MMMM) }

Choose the correct

outcome(s) of having exactly zero girls.

a.

{ (FFFF) }

b.

{ (MMMM) }

c.

{ (MMFF), (MFMF), (MFFM),

(FMMF), (FMFM), (FFMM) }

d.

{ (MMMF), (MMFM), (MFMM),

(FMMM) }

5.

Use the bar graph below, which

shows the highest level of education received by employees of
a company, to

find the probability that the highest level of education for
an employee chosen

at random is C.

6.

An individual stock is selected

at random from the portfolio represented by the
box-and-whisker plot shown to

the right. Find the probability that the stock price is (a)
less than $21, (b)

between $21 an $57, and (c) $34 or more.

7.

Determine whether the events E

and F are independent or dependent. Justify your answer.

a.

E: A person attaining a

position as a professor.

F: The same person attaining a PhD.

b.

E: A randomly selected person

having a high GPA.

F: Another randomly selected person having a low GPA.

c.

E: The rapid spread of a cocoa

plant disease.

F: The price of chocolate.

8.

The table below shows the

results of a survey in which 147 families were asked if they
own a computer and

if they will be taking a summer vacation this year.

a.

Find the probability that a

randomly selected family is not taking a summer vacation this
year.

b.

Find the probability that a

randomly selected family owns a computer.

c.

Find the probability a randomly

selected family is taking a summer vacation this year given
that they own a

computer.

d.

Find the probability a randomly

selected family is taking a summer vacation this year and
owns a computer.

e.

Are the events of owning a

computer and taking a summer vacation this year independent
or dependent

events?

9.

Suppose you just received a

shipment of eight televisions. Three of the televisions are
defective. If two

televisions are randomly selected, compute the probability
that both

televisions work. What is the probability at least one of the
two televisions

does not work?

10.

By rewriting the formula for

the multiplication rule, you can write a formula for finding
conditional

probabilities. The conditional probability of event B
occurring, given that

event A has occurred, is. Use the information

below to find the probability that a flight departed on time
given that it

arrives on time.

The probability that an

airplane flight departs on time is 0.89.

The probability that a

flight arrives on time is 0.87.

The probability that a

flight departs and arrives on time is 0.81.

11.

Determine whether the statement

is true or false. If it is false, rewrite it as a true
statement.

If two events are mutually

exclusive, they have no outcomes in common.

12.

During a 52-week period, a

company paid overtime wages for 19 weeks and hired temporary
help for 10 weeks.

During 6 weeks, the company paid overtime and hired temporary
help. Complete

parts (a) and (b) below.

a.

Are the events “selecting a

week that contained overtime wages” and “selecting a week
that contained

temporary help wages” mutually exclusive?

b.

If an auditor randomly examined

the payroll records for only one week, what is the
probability that the payroll

for that week contained overtime wages or temporary help
wages?

13.

The percent distribution of

live multiple-delivery births (three or more babies) in a
particular year for

women 15 to 54 years old is shown in the pie chart. Find each
probability.

a.

Randomly selecting a mother

30-39 years old

b.

Randomly selecting a mother not

30-39 years old

c.

Randomly selecting a mother

less than 45 years old

d.

Randomly selecting a mother at

least 20 years old

14.

Find P (A or B or C) for the

given probabilities.

P (A) = 0.34, P (B) =

0.27, P (C) = 0.17

P (A and B) = 0.11, P (A

and C) = 0.03, P (B and C) = 0.09

P (A and B and C) = 0.01

15.

When you calculating the number

of permutations of ndistinct objects

taken rat a time, what are you

counting?

16.

Evaluate the given expression

and express the result using format for writing numbers
(instead of scientific

notation).

47P2

17.

Perform the indicated

calculation.

18.

Decide if the situation

involves permutations, combinations, or neither. Explain your
reasoning.

The number of ways 20

people can line up in a row for concert tickets.

19.

Suppose Grant is going to burn

a compact disk (CD) that will contain 10 songs. In how many
ways can Grant

arrange the 10 songs on the CD?

20.

A horse race has 12 entries and

one person owns 5 of those horses. Assuming that there are no
ties, what is the

probability that those five horses finish first, second,
third, fourth, and

fifth (regardless of order)?

21.

In how many orders can three

broken computers and two broken scanners be repaired if (a)
there are

restrictions, (b) the scanners must be repaired first, and
(c) the computers

must be repaired first? (d) If the order of repairs has no
restrictions and the

order of repairs is done at random, what is the probability
that a scanner will

be repaired first?

Determine which of the

following numbers could not represent the probability of an
even.

0, 0.023, -0.7, 50%,,

Identify the sample space of

the probability experiment and determine the number of
outcomes in the sample

space.

Randomly

choosing an even number between 1 and 10, inclusive

Classify the statement as an

example of classical probability, empirical probability, or
subjective

probability. Explain your reasoning.

A study on a college

campus shows that 77% of the students like rap music.

4.

A family has four children. Use

the tree diagram to answer each question.

space.

a.

{ (FFFF), (FFFM), (FFMM),

(FMMM), (MMMM) }

b.

{ (F), (M) }

c.

{ (FFFF), (FFFM), (FFMF),

(FFMM),(FMFF), (FMFM), (FMMF), (FMMM), (MFFF) , (MFFM),
(MFMF), (MFMM), (MMFF),

(MMFM), (MMMF), (MMMM) }

d.

{ (FFFF), (FFFM), (FFMM),

(FMMM), (MFFF), (MMFF), (MMMF), (MMMM) }

outcome(s) of having exactly zero girls.

a.

{ (FFFF) }

b.

{ (MMMM) }

c.

{ (MMFF), (MFMF), (MFFM),

(FMMF), (FMFM), (FFMM) }

d.

{ (MMMF), (MMFM), (MFMM),

(FMMM) }

Use the bar graph below, which

shows the highest level of education received by employees of
a company, to

find the probability that the highest level of education for
an employee chosen

at random is C.

An individual stock is selected

at random from the portfolio represented by the
box-and-whisker plot shown to

the right. Find the probability that the stock price is (a)
less than $21, (b)

between $21 an $57, and (c) $34 or more.

Determine whether the events E

and F are independent or dependent. Justify your answer.

a.

E: A person attaining a

position as a professor.

F: The same person attaining a PhD.

b.

E: A randomly selected person

having a high GPA.

F: Another randomly selected person having a low GPA.

c.

E: The rapid spread of a cocoa

plant disease.

F: The price of chocolate.

The table below shows the

results of a survey in which 147 families were asked if they
own a computer and

if they will be taking a summer vacation this year.

Find the probability that a

randomly selected family is not taking a summer vacation this
year.

b.

Find the probability that a

randomly selected family owns a computer.

c.

Find the probability a randomly

selected family is taking a summer vacation this year given
that they own a

computer.

d.

Find the probability a randomly

selected family is taking a summer vacation this year and
owns a computer.

e.

Are the events of owning a

computer and taking a summer vacation this year independent
or dependent

events?

Suppose you just received a

shipment of eight televisions. Three of the televisions are
defective. If two

televisions are randomly selected, compute the probability
that both

televisions work. What is the probability at least one of the
two televisions

does not work?

By rewriting the formula for

the multiplication rule, you can write a formula for finding
conditional

probabilities. The conditional probability of event B
occurring, given that

event A has occurred, is. Use the information

below to find the probability that a flight departed on time
given that it

arrives on time.

airplane flight departs on time is 0.89.

The probability that a

flight arrives on time is 0.87.

The probability that a

flight departs and arrives on time is 0.81.

Determine whether the statement

is true or false. If it is false, rewrite it as a true
statement.

If two events are mutually

exclusive, they have no outcomes in common.

During a 52-week period, a

company paid overtime wages for 19 weeks and hired temporary
help for 10 weeks.

During 6 weeks, the company paid overtime and hired temporary
help. Complete

parts (a) and (b) below.

a.

Are the events “selecting a

week that contained overtime wages” and “selecting a week
that contained

temporary help wages” mutually exclusive?

b.

If an auditor randomly examined

the payroll records for only one week, what is the
probability that the payroll

for that week contained overtime wages or temporary help
wages?

The percent distribution of

live multiple-delivery births (three or more babies) in a
particular year for

women 15 to 54 years old is shown in the pie chart. Find each
probability.

Randomly selecting a mother

30-39 years old

b.

Randomly selecting a mother not

30-39 years old

c.

Randomly selecting a mother

less than 45 years old

d.

Randomly selecting a mother at

least 20 years old

Find P (A or B or C) for the

given probabilities.

P (A) = 0.34, P (B) =

0.27, P (C) = 0.17

P (A and B) = 0.11, P (A

and C) = 0.03, P (B and C) = 0.09

P (A and B and C) = 0.01

When you calculating the number

of permutations of ndistinct objects

taken rat a time, what are you

counting?

Evaluate the given expression

and express the result using format for writing numbers
(instead of scientific

notation).

47P2

17.

Perform the indicated

calculation.

18.

Decide if the situation

involves permutations, combinations, or neither. Explain your
reasoning.

The number of ways 20

people can line up in a row for concert tickets.

Suppose Grant is going to burn

a compact disk (CD) that will contain 10 songs. In how many
ways can Grant

arrange the 10 songs on the CD?

A horse race has 12 entries and

one person owns 5 of those horses. Assuming that there are no
ties, what is the

probability that those five horses finish first, second,
third, fourth, and

fifth (regardless of order)?

In how many orders can three

broken computers and two broken scanners be repaired if (a)
there are

restrictions, (b) the scanners must be repaired first, and
(c) the computers

must be repaired first? (d) If the order of repairs has no
restrictions and the

order of repairs is done at random, what is the probability
that a scanner will

be repaired first?