MATH 110 TEST 4 PROBABILITY AND STATISTICS PRACTICE QUESTIONS
WITH ANSWERS – 2024–2025 COMPREHENSIVE EXAM REVIEW A+
VERIFIED LATEST VERSION
Evaluate the expression. (8 − 4)!: 24
1. Fill in the blanks to show how to evaluate P(9, 5) using the counting princi-
ple.
( ) · ( ) · ( ) · ( ) · ( ): (9) · (8) · (7) · (6) · (5/1)
2. Evaluate the expression.
P(9, 3) · P(5, 2): 10080
3. Evaluate the expression.
C(9, 2): 36
4. Evaluate the expression.
C(7, 4) · C(9, 4): 4410
5. The board of directors of a corporation must select a president, a secretary,
and a treasurer. In how many possible ways can this be accomplished if there
are 23 members on the board of directors?: 10626
6. A restaurant offers a special pizza with any 5 toppings. If the restaurant
has 10 toppings from which to choose, how many different special pizzas are
possible?: 252
7. Ten people decide to play softball. In how many ways can the 10 people be
divided into 2 teams of 5 people?: 252 ways
8. A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed
once.
Find the probability that the number on the upward face is divisible by 3. (Enter
the probability as a fraction.): 4/12
9. Two regular 6-sided dice are tossed. Compute the probability that the sum
of the pips on the upward faces of the 2 dice is the following. (See the figure
below for the sample space of this experiment. Enter your probability as a
fraction.)
8: 5/36
10. Two regular 6-sided dice are tossed. Compute the probability that the sum
of the pips on the upward faces of the 2 dice is the following. (Enter your
1/7
, MATH 110 TEST 4 PROBABILITY AND STATISTICS PRACTICE QUESTIONS
WITH ANSWERS – 2024–2025 COMPREHENSIVE EXAM REVIEW A+
VERIFIED LATEST VERSION
probability as a fraction.)
At least 10: 1/6
11. Two regular 6-sided dice are tossed. Compute the probability that the sum
of the pips on the upward faces of the two dice is the following. (Enter your
probability as a fraction.)
At most 4: 2/12
12. A card is selected at random from a standard deck of playing cards.Com-
pute the probability that the card is a face card (jack, queen, or king). (Enter
your probability as a fraction.): 12/52
13. Use the data given in the table below to compute the probability that a
randomly chosen voter from the survey will satisfy the following. Round to
the nearest hundredth.
The voter is an Independent.
age repub demo inde other total
18-28 205 432 98 112 847
29-38 311 301 109 83 804
39-49 250 251 150 122 773
>50 272 283 142 107 804
total 1038 1267 499 424 3228: 0.15
14. A survey asked 850 respondents about their highest levels of completed
education. The results are given in the table below.If a respondent from the
survey is selected at random, compute the probability that the respondent
has a Bachelor's degree. (Enter the probability as a fraction.)
Education completed Number of respondents
No high school diploma 52
High school diploma 234
Associate's degree or 274
two years of college
Bachelor's degree 187
2/7
WITH ANSWERS – 2024–2025 COMPREHENSIVE EXAM REVIEW A+
VERIFIED LATEST VERSION
Evaluate the expression. (8 − 4)!: 24
1. Fill in the blanks to show how to evaluate P(9, 5) using the counting princi-
ple.
( ) · ( ) · ( ) · ( ) · ( ): (9) · (8) · (7) · (6) · (5/1)
2. Evaluate the expression.
P(9, 3) · P(5, 2): 10080
3. Evaluate the expression.
C(9, 2): 36
4. Evaluate the expression.
C(7, 4) · C(9, 4): 4410
5. The board of directors of a corporation must select a president, a secretary,
and a treasurer. In how many possible ways can this be accomplished if there
are 23 members on the board of directors?: 10626
6. A restaurant offers a special pizza with any 5 toppings. If the restaurant
has 10 toppings from which to choose, how many different special pizzas are
possible?: 252
7. Ten people decide to play softball. In how many ways can the 10 people be
divided into 2 teams of 5 people?: 252 ways
8. A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed
once.
Find the probability that the number on the upward face is divisible by 3. (Enter
the probability as a fraction.): 4/12
9. Two regular 6-sided dice are tossed. Compute the probability that the sum
of the pips on the upward faces of the 2 dice is the following. (See the figure
below for the sample space of this experiment. Enter your probability as a
fraction.)
8: 5/36
10. Two regular 6-sided dice are tossed. Compute the probability that the sum
of the pips on the upward faces of the 2 dice is the following. (Enter your
1/7
, MATH 110 TEST 4 PROBABILITY AND STATISTICS PRACTICE QUESTIONS
WITH ANSWERS – 2024–2025 COMPREHENSIVE EXAM REVIEW A+
VERIFIED LATEST VERSION
probability as a fraction.)
At least 10: 1/6
11. Two regular 6-sided dice are tossed. Compute the probability that the sum
of the pips on the upward faces of the two dice is the following. (Enter your
probability as a fraction.)
At most 4: 2/12
12. A card is selected at random from a standard deck of playing cards.Com-
pute the probability that the card is a face card (jack, queen, or king). (Enter
your probability as a fraction.): 12/52
13. Use the data given in the table below to compute the probability that a
randomly chosen voter from the survey will satisfy the following. Round to
the nearest hundredth.
The voter is an Independent.
age repub demo inde other total
18-28 205 432 98 112 847
29-38 311 301 109 83 804
39-49 250 251 150 122 773
>50 272 283 142 107 804
total 1038 1267 499 424 3228: 0.15
14. A survey asked 850 respondents about their highest levels of completed
education. The results are given in the table below.If a respondent from the
survey is selected at random, compute the probability that the respondent
has a Bachelor's degree. (Enter the probability as a fraction.)
Education completed Number of respondents
No high school diploma 52
High school diploma 234
Associate's degree or 274
two years of college
Bachelor's degree 187
2/7
