GENG 2220
HW#3
Due: 2/5/2022 as start of Class (hard copy) or 11:59 pm (online)
Name:_______________________________
Student #:_________________________________
1) A probability experiment is conducted. Which of these cannot be considered a
probability outcome?
A) 1.21
B) 0.72
C) 13
D) 71%
2) Nanette must pass through three doors as she walks from her company's foyer to her office. Each of
these doors may be locked or unlocked.
List the outcomes of the sample space.
A) {LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU}
B) {LLU, LUL, ULL, UUL, ULL, LUU}
C) {LLL, UUU}
D) None of these.
3) Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first
drawn from Box A and then another number from Box B. Using the figure below, how many outcomes
are possible if both numbers are even?
A) 8
B) 4
C) 16
D) 6
4) What type of probability uses a knowledge of sample spaces as opposed to experiments to determine
the numerical probability that an event will occur?
A) classical probability
C) empirical probability
B) subjective probability
D) conditional probability
5) If a sportscaster makes an educated guess as to how well a team will do this season, he is using what
type of probability?
A) empirical probability
C) classical probability
B) conditional probability
D) subjective probability
6) A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that
coin were 2/3, that would be an example of probability.
A) computed
B) subjective
C) classical
D) empirical
GENG 2220
HW#3
Due: 2/5/2022 as start of Class (hard copy) or 11:59 pm (online)
Name:_______________________________
Student #:_________________________________
7) If two dice are rolled one time, find the probability of getting a sum less than 5.
A) 5/36
B) 1/6
C) 7/36
D) 1/3
8) For this year's mayoral election, voter dissatisfaction is very high. In a survey of 200 likely voters, 60
said they planned to write in an independent candidate rather than vote Democrat or Republican
candidate for mayor.
What is the probability that a surveyed voter plans to write in an independent candidate?
A) 0.2
B) 0.06
C) 0.3
D) 0.7
9) The arrow on the spinner shown below can be spun so that the arrowhead eventually stops in one of
the three sectors labeled "A", "B", or "C". The spinner is spun 187 times and comes up "A" 86 times. Use
the Empirical Rule to approximate the probability that the spinner comes up "A".
A) 0.54
B) 0.46
C) 0.5
D) 0.315
10) On a recent Saturday, a total of 1075 people visited a local library. Of these people, 243 were under
age 10, 483 were aged 10–18, 175 were aged 19–30, and the rest were more than 30 years old.
One person is sampled at random. What is the probability that the person is less than 19 old?
A) 0.449
B) 0.226
C) 0.675
D) 0.726
11) If P(A) = 0.24, P(B) = 0.4, and P(A or B) = 0.64, are A and B mutually exclusive?
A) No
B) Yes
12) What is the correct relationship between events A and B:
A: Karl is college graduate.
B: Karl is a high school graduate.
A) A and B are mutually exclusive.
C) A and B are not mutually exclusive.
B) B is the complement of A.
D) If B is not true, A cannot be true.
GENG 2220
HW#3
Due: 2/5/2022 as start of Class (hard copy) or 11:59 pm (online)
Name:_______________________________
Student #:_________________________________
13) The probability that a customer selects a pizza with mushrooms or pepperoni is 0.67, and the
probability that the customer selects only mushrooms is 0.29. If the probability that he or she selects
only pepperoni is 0.15, find the probability of the customer selecting both items.
A) 0.23
B) 0.44
C) 1.11
D) 0.14
14) It has been reported that 3% of all cars on the highway are traveling at speeds in excess of 70 mph. If
the speeds of four random automobiles are measured via radar, what is the probability that at least one
car is going over 70 mph?
A) 0.00000081
B) 0.89
C) 0.11
D) 0.12
15) A flight from Pittsburgh to Charlotte has a 90% on-time record. From Charlotte to Jacksonville, the
flight is on time 80% of the time. The return flight from Jacksonville to Charlotte is on time 40% of the
time and from Charlotte to Pittsburgh, 90% of the time. Consider a round trip from Pittsburgh to
Jacksonville on these flights, and assume all flights are independent. What is the probability that at least
one flight is not on time?
A) 0.741
B) 0.999
C) 0.259
D) 0.001
16) Urn 1 contains 4 red balls and 6 black balls. Urn 2 contains 2 red balls and 4 black balls. Urn 3
contains 2 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the
probability it will be red.
A) 1/3
B) 2/5
C) 37/90
D) 1/90
17) A fast-food restaurant chain has 630 outlets in the United States. The following table categorizes
them by city population and location and presents the number of outlets in each category. An outlet is
chosen at random from the 630 to test market a new menu.
Population of city
Under 50,000
50,000 - 500,000
NE
35
57
SE
26
48
Over 500,000
73
123
Region
SW
31
56
NW
16
42
74
49
Given that the outlet is located in the West (either SW or NW), what is the probability is in a city with
population 50,000–500,000?
A) 0.156
B) 0.366
C) 0.274
D) 0.757
18) How many different ways can four people: Andy, Betty, Cindy, and Doug, sit in a row at the opera if
Andy and Betty must sit together?
A) 6
B) 18
C) 24
D) 12
GENG 2220
HW#3
Due: 2/5/2022 as start of Class (hard copy) or 11:59 pm (online)
Name:_______________________________
Student #:_________________________________
19) On a TV game show, a contestant is shown 10 products from a grocery store and is asked to choose
the three least-expensive items in the set, and then correctly arrange these three items in order of price.
In how many ways can the contestant choose the three items?
A) 604,800
B) 6
C) 120
D) 720
20) Each of 6 students wishes to buy a particular textbook, but only 3 textbooks are
available. How could one express the number of ways those textbooks could be distributed among the
students?
A) 3P6
B) 6C3
C) 6P3
D) 3C6
21) When 3 dice are rolled, find the probability of getting a sum of 11.
A) 7/54
B) 15/36
C) 27/216
D) 5/18
22) The numbers 1 through 12 are written in separate slips of paper, and the slips are placed box. Then,
4 of these slips are drawn at random. What is the probability that the drawn slips are "1", "2", "3", and
"4", in that order?
A) 0.002016
B) 0.04848
C) 0.00202
D) 0.000084
23) If 35 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win
both prizes if that person buys exactly 2 tickets.
A) 1/1290
B) 1/595
C) 1/1190
D) 1/6545
24) A football team consists of 19 freshmen and 19 sophomores, 15 juniors, and 13 seniors. Four players
are selected at random to serve as captains. Find the probability that at least 1 of the students is a
senior.
A) ≈ 0.4063
B) ≈ 0.9999
C) ≈ 0.5937
D) ≈ 0.0161