Test Question – Probability
1) A fair die is rolled and a coin is flipped. Determine the probability that a 5 is rolled and a tail
shows.
2) License plates are made using 3 letters followed by 2 digits. How many plates can be made if
repetition of letters and digits are allowed?
3) How many ways can an IRS auditor select 3 of 8 returns for an audit?
4) There are 9 members on a board of directors. If they must elect a chairperson, a secretary, and a
treasurer, how many different slates of candidates are possible?
5) If a five-sided die is rolled 3 times, how many different three-digit sequences are possible?
Chapter
*u
Test
6
F *-^^tlL
"
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
CoInplete the table and use it to calculate the indicated relative frequency. Round your answer to three decimal places
necessary.
1) The following table displays the age in years, and sex for the residents of a retirement
horne.
1)
Age (years)
50-69
Male
Female
Total
Over
70-79
1
2
5
19
9
4
{--
79
4D
\
J
Total
What is the relative frequenry for males in the age group 60-69?
A)
0.1
B)
0
C)
0.05
D) 0.025
2) The following table displays the age, in years, and sex for the residents of a retirement
Age (years)
60-69
70-79
Over 79
Total
Male
17
2
5
Female
2)
4
9
3
home.
Total
What is the relative frequency for males?
A)1
c)
B) 0.5
D)
0.55
1,.2
Use the table to deterrrine the probability. Round your answer lo three decimal places if necessary.
3) The following table displays the age in years, and sex for the residmts of a retirement
Age (years)
home.
Male
Female
Over
60-69
70-79
4
2
5
1,6
9
4
79
3)
Total
Total
What is the probability that a resident is female?
A) 0.72
c)
B) 0.735
D) 0.72s
0.729
4) The following table displays the age, in yearg and sex for the residents of a retirement
Age (years)
Over
60-59
70-79
Male
0.24
0.1
0.06
Female
0.2
0.1
0.3
79
Total
\Atrhat
A)
home.
Total
1
is the probability that a resident is in the age group 60-69?
0.44
B)
0.42
c)
.7
0.47
D) 0.4s5
4)
if
5) Students in a political science course were asked to describe their politics as "Liberal",
or "Conseryative." The results are displayed in the following table.
Politics
33357
37
48
"Moderate",
5)
20
What is the probability that a selected student is a male who is considered a Liberal?
D) 0.38e
c) 0.205
B) 0.44
A) 0.3s2
6) The
following table displays the age, in years, and sex for the residents of a retirement home.
6)
Age (years)
Over
60-69
70-79
Male
0.18
0.1
0.12
Female
0.2
0.1
0.3
Total
79
Total
1
What is the probability that a resident is male and in the age group 60-79?
A) 0.28
4
c) 0.3
B) 0.27
D) 0.29s
Th" table gives the number of degrees eamed in a certain university in the 2007-2008 academic
n
year.
Bachelor's Master's Professional
Female
Male
712
489
Doctorate
47
53
2M
1,67
Total
'l.,4
18
Total
If a student receiving a degree is randomly selected, what is the probability the degree recipient
selected is a female or earned a Doctorate?
B) 0.014
A) 0.593
c)
0.008
D)
0.601
Find the indicated probability. Leave your answer in fractional form unless otherwise indicated.
8) A bag contains 10 marbles: 2 red 3 blue and 5 green. One marble is selected at random. Find
-
8)
P(blue).
A)+
J
B)*
c)+
")+
9) A class consists of 68 female students and 80 male students. One student is selected at random.
\Atrhat is the probability that the student is female?
A)#
c)#
B)#
D)#
10) During a recent quality analysig a production engineer determined that the probability that a
, completed computer chip failed the quality test was 0.06. What is the probability that a completed
computer chip passes the quality test? Estimate the probability to two decimal places if necessary.
A) 0.16
B) 0.06
,
c) 0.94
e)
D) 0.s
10)
Test Question – Probability
1) A fair die is rolled and a coin is flipped. Determine the probability that a 5 is rolled and a tail
shows.
2) License plates are made using 3 letters followed by 2 digits. How many plates can be made if
repetition of letters and digits are allowed?
3) How many ways can an IRS auditor select 3 of 8 returns for an audit?
4) There are 9 members on a board of directors. If they must elect a chairperson, a secretary, and a
treasurer, how many different slates of candidates are possible?
5) If a five-sided die is rolled 3 times, how many different three-digit sequences are possible?
Chapter
*u
Test
6
F *-^^tlL
"
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
CoInplete the table and use it to calculate the indicated relative frequency. Round your answer to three decimal places
necessary.
1) The following table displays the age in years, and sex for the residents of a retirement
horne.
1)
Age (years)
50-69
Male
Female
Total
Over
70-79
1
2
5
19
9
4
{--
79
4D
\
J
Total
What is the relative frequenry for males in the age group 60-69?
A)
0.1
B)
0
C)
0.05
D) 0.025
2) The following table displays the age, in years, and sex for the residents of a retirement
Age (years)
60-69
70-79
Over 79
Total
Male
17
2
5
Female
2)
4
9
3
home.
Total
What is the relative frequency for males?
A)1
c)
B) 0.5
D)
0.55
1,.2
Use the table to deterrrine the probability. Round your answer lo three decimal places if necessary.
3) The following table displays the age in years, and sex for the residmts of a retirement
Age (years)
home.
Male
Female
Over
60-69
70-79
4
2
5
1,6
9
4
79
3)
Total
Total
What is the probability that a resident is female?
A) 0.72
c)
B) 0.735
D) 0.72s
0.729
4) The following table displays the age, in yearg and sex for the residents of a retirement
Age (years)
Over
60-59
70-79
Male
0.24
0.1
0.06
Female
0.2
0.1
0.3
79
Total
\Atrhat
A)
home.
Total
1
is the probability that a resident is in the age group 60-69?
0.44
B)
0.42
c)
.7
0.47
D) 0.4s5
4)
if
5) Students in a political science course were asked to describe their politics as "Liberal",
or "Conseryative." The results are displayed in the following table.
Politics
33357
37
48
"Moderate",
5)
20
What is the probability that a selected student is a male who is considered a Liberal?
D) 0.38e
c) 0.205
B) 0.44
A) 0.3s2
6) The
following table displays the age, in years, and sex for the residents of a retirement home.
6)
Age (years)
Over
60-69
70-79
Male
0.18
0.1
0.12
Female
0.2
0.1
0.3
Total
79
Total
1
What is the probability that a resident is male and in the age group 60-79?
A) 0.28
4
c) 0.3
B) 0.27
D) 0.29s
Th" table gives the number of degrees eamed in a certain university in the 2007-2008 academic
n
year.
Bachelor's Master's Professional
Female
Male
712
489
Doctorate
47
53
2M
1,67
Total
'l.,4
18
Total
If a student receiving a degree is randomly selected, what is the probability the degree recipient
selected is a female or earned a Doctorate?
B) 0.014
A) 0.593
c)
0.008
D)
0.601
Find the indicated probability. Leave your answer in fractional form unless otherwise indicated.
8) A bag contains 10 marbles: 2 red 3 blue and 5 green. One marble is selected at random. Find
-
8)
P(blue).
A)+
J
B)*
c)+
")+
9) A class consists of 68 female students and 80 male students. One student is selected at random.
\Atrhat is the probability that the student is female?
A)#
c)#
B)#
D)#
10) During a recent quality analysig a production engineer determined that the probability that a
, completed computer chip failed the quality test was 0.06. What is the probability that a completed
computer chip passes the quality test? Estimate the probability to two decimal places if necessary.
A) 0.16
B) 0.06
,
c) 0.94
e)
D) 0.s
10)
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