Deck 3: Probability

Question 1

Which of the following is an example of a random experiment?

A)A customer inspects a delivery and finds an error.
B)Marketing budgets a 10% increase in advertising.
C)The post office misplaces a letter.
D)A student increases her average study time/week and improves her grades.

Answer 1

A customer inspects a delivery and finds an error.

Question 2

________ probability is the number of events in the population that meet the condition divided by the total number in the population.

A)Objective
B)Classical
C)Relative frequency
D)Subjective

Answer 2

Relative frequency

Question 3

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is A ∩ ?

A)[9,11]
B)[8,10,12]
C)[3,5,7]
D)[2,4,6]

Answer 3

[2,4,6]

Question 4

The proportion of times that an event will occur,assuming that all outcomes in a sample space are equally likely to occur,is called:

A)objective probability.
B)classical probability.
C)relative frequency probability.
D)subjective probability.

Question 5

If the union of several events covers the entire sample space,it is said these events are:

A)mutually exclusive.
B)mutually related.
C)mutually apart.
D)collectively exhaustive.

Question 6

The set of all possible outcomes from a random experiment is called the sample:

A)population.
B)space.
C)probability.
D)event.

Question 7

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is ∩
?

A)[2,4,6]
B)[3,5,7]
C)[8,9,10,11,12]
D)[∅]

Question 8

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is ∩ B?

A)[9,11]
B)[2,3,4,6]
C)[5,7,8,10,12]
D)[3,5]

Question 9

The possible outcomes from a random experiment are called:

A)sample space.
B)parameters.
C)basic groups.
D)basic outcomes.

Question 10

When events have no common basic outcomes,they are said to be:

A)mutually exclusive.
B)mutually related.
C)mutually apart.
D)collectively exhaustive.

Question 11

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is the intersection of events A and B?

A)[8,10,12]
B)[7,8,9,10,11,12]
C)[2,4,6,8,10,12]
D)[2,3,4,5,6,7,8,9,10,11,12]

Question 12

The expression of an individual's degree of belief about the chance that an event will occur is called ________ probability.

A)objective
B)classical
C)relative frequency
D)subjective

Question 13

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is the complement of event A?

A)[8,9,10,11,12]
B)[3,5,7,9,11]
C)[1,5,10,11,12]
D)[8,10,12]

Question 14

Which of the following is not an example of a random experiment?

A)daily change of stock market index prices
B)customer makes a purchase or not
C)a survey to rate quality of service
D)coin-toss,heads or tails

Question 15

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is ∪
?

A)[2,3,4,5,6,7]
B)[3,5,7]
C)[2,3,4,5,6,7,9,11]
D)[2,4,6]

Question 16

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is the union of events A and B?

A)[8,9,10,11,12]
B)[8,10,12]
C)[2,4,6,8,9,10,11,12]
D)[2,3,4,5,6,7,8,9,10,11,12]

Question 17

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is ∪ B?

A)[4,5,7,8,11,12]
B)[8,9,10,11,12]
C)[2,3,4,5,6,7]
D)[3,5,7,8,9,10,11,12]

Question 18

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is A ∪ ?

A)[2,3,4,5,6,7,8,10,12]
B)[3,5,7,8,10,12]
C)[5,7,8,10,12]
D)[5,6,7,8,9,10,11,12]

Question 19

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
What is the complement of event B?

A)[3,5,7,9,11]
B)[2,4,6,8,10,12]
C)[2,3,4,5,6,7]
D)[7,8,9,10,11,12]

Question 20

A subset of outcomes is defined as a(n):

A)sample.
B)event.
C)outcome.
D)probability.

Question 21

A gumball machine has five different colored gumballs: red,blue,white,green,and yellow.If you buy three gumballs,how many different combinations of colors could you buy?

A)60
B)20
C)10
D)6

Question 22

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20.The probability that house sales will decrease is estimated to be 0.6.The probability that interest rates will go up and house sales will decrease is estimated to be 0.15.
The probability of an increase in interest rates and not a decrease in house sales is:

A)0.20
B)0.05
C)0.25
D)0.50

Question 23

Let A be the event that there is at least one defect and let event B be that there is at most three defects.Which of the following statements is true?

A)P(A ∩B)= 0.55
B)P(A∪B)=0.96
C)P(A)= 0.34
D)P( )= 0.89

Question 24

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Ted's Surfboard Shop makes surfboards by hand.The number of surfboards that Ted makes in a week depends on the wave conditions.Ted has estimated the following probabilities for surfboard production for the next week.

Let event A be that Ted produces more than seven surfboards and let event B be that he produces exactly six surfboards.Which of the following statements is true?

A)P(A ∩B)=0.31
B)events A and B are collectively exhaustive
C)P(
∪

)=0.44
D)events A and B are mutually exclusive

Question 25

Suppose you roll a pair of dice.Let A be the event that you roll an even number.Let B be the event that you roll an odd number.Which of the following statements is true?

A)The events A and B are not mutually exclusive.
B)The intersection of A and B is the empty set ∅.
C)The events A and B are not collectively exhaustive.
D)The complement of event B is the set [1,3,5,7,9,11].

Question 26

Let event A be that there are more than three defects and let event B be that there are four or fewer defects.Which of the following statements is true?

A)P(A ∩B)= 0.18
B)P(A∪B)=0.07
C)Events A and B are collectively exhaustive.
D)Events A and B are mutually exclusive.

Question 27

Which term is used to describe the probability of the intersection of events A and B?

A)subjective probability
B)marginal probability
C)joint probability
D)conditional probability

Question 28

Which of the following statements is always true for any two events A and B defined on a sample space S?

A)The complement of event A is event B.
B)The intersection of A and B is the set of all basic outcomes in either A or B.
C)If events A and B are mutually exclusive,then A ∩ B = S.
D)If events A and B are collectively exhaustive,then A ∩ B = S.

Question 29

What does the complement rule state?

A)That events A and
are not mutually exclusive
B)The intersection of events A and
is the empty set ∅.
C)That events A and
are not collectively exhaustive.
D)The union of events A and
is the empty set ∅.

Question 30

The probability of the intersection of events A and B is denoted by:

A)A ∩ B.
B)P(A ∩B).
C)A ∪ B.
D)P(A ∪ B).

Question 31

Which of the following statements is always true for any two events A and B defined on a sample space S?

A)If the complement of event A is the empty set,then event A is the sample space S.
B)If the union of events A and B is not the empty set,∅ then A ∩ B = ∅.
C)If events A and B are mutually exclusive,then A ∪ B = S.
D)If events A and B are collectively exhaustive,then A ∪ B = ∅.

Question 32

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Ted's Surfboard Shop makes surfboards by hand.The number of surfboards that Ted makes in a week depends on the wave conditions.Ted has estimated the following probabilities for surfboard production for the next week.

Let event A be that Ted produces more than six surfboards,and let event B be that he produces less than eight surfboards.Which of the following statements is true?

A)P(A ∩B)= 0.75
B)Events A and B are collectively exhaustive.
C)P(
)= 0.53
D)Events A and B are mutually exclusive.

Question 33

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20.The probability that house sales will decrease is estimated to be 0.6.The probability that interest rates will go up and house sales will decrease is estimated to be 0.15.
The probability that interest rates increase and house sales decrease is:

A)0.75
B)0.85
C)0.71
D)0.15

Question 34

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The production manager at a local manufacturing plant is concerned about work stoppages in the four production lines.In particular,the manager is evaluating the likelihood of the next stoppage occurring on production line 1.
Based on his knowledge of the causes of stoppages,the manager states that the probability that production line 1 is stopped next is 25%.This is an example of:

A)subjective probability.
B)classical probability.
C)relative frequency probability.
D)Bayesian probability.

Question 35

Two events A and B defined on a sample space S are said to be collectively exhaustive if:

A)A ∩ B = ∅
B)A ∪ B = ∅
C)A ∩ B = S
D)A ∪ B = S

Question 36

Which of the following statements is true for any two events A and B defined on a sample space S?

A)If the intersection of events A and B is the empty set,then A and B are collectively exhaustive.
B)If the union of events A and B is the empty set,then each of A and B is the empty set.
C)If events A and B are collectively exhaustive,then A ∪ B ≠ ∅.
D)If events A and B are mutually exclusive and collectively exhaustive,then the union of A and B is not necessarily the sample space.

Question 37

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The production manager at a local manufacturing plant is concerned about work stoppages in the four production lines.In particular,the manager is evaluating the likelihood of the next stoppage occurring on production line 1.
Based on previous stoppage records,the manager figures that the probability that production line 1 is stopped next is 25%.This is an example of:

A)subjective probability.
B)classical probability.
C)relative frequency probability.
D)Bayesian probability.

Question 38

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The production manager at a local manufacturing plant is concerned about work stoppages in the four production lines.In particular,the manager is evaluating the likelihood of the next stoppage occurring on production line 1.
If each of the lines is equally likely to have the next stoppage,the probability that production line 1 is stopped next is 25%.This is an example of:

A)subjective probability.
B)classical probability.
C)relative frequency probability.
D)Bayesian probability.

Question 39

Let event A be that there are more than two defects and let event B be that there are four or fewer defects.Which of the following statements is true?

A)P(A ∩B)= 0.18
B)P(A∪B)=0.07
C)P( )= 0.58
D)P( )= 0.89

Question 40

If the probability of occurrence of event A is not affected by the occurrence of event B,then A and B are said to be:

A)mutually exclusive.
B)statistically independent.
C)collectively exhaustive.
D)basic events.

Question 41

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
The probability that a person wants better fuel efficiency and also a vehicle navigation system is:

A)0.90
B)0.10
C)0.45
D)0.35

Question 42

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20.The probability that house sales will decrease is estimated to be 0.6.The probability that interest rates will go up and house sales will decrease is estimated to be 0.15.
The probability of a decrease in house sales and not an increase in interest rates is:

A)0.45
B)0.25
C)0.20
D)0.05

Question 43

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A multiple choice quiz has five questions,each with five answers,A through E.Assume you just guess on all of the questions.
What is the probability that you guessed on all five questions right?

A)0.00032
B)0.03125
C)0.20
D)0.50

Question 44

In a longitudinal economic development study,market research indicated that the odds of a new business succeeding after five years are 1 to 9.That means that the probability of a business actually succeeding is:

A)0.11
B)0.10
C)0.09
D)0.08

Question 45

The probability that an employee at a company uses illegal drugs is 0.08.The probability than an employee is male is 0.55.Assuming that these events are independent,what is the probability that a randomly chosen employee is a male drug user?

A)0.742
B)0.145
C)0.044
D)0.006

Question 46

A survey of executives revealed that 35% of them regularly read The Wall Street Journal,20% read Forbes,and 10% read both The Wall Street Journal and Forbes.What is the probability that a particular executive reads either The Wall Street Journal or Forbes?

A)0.45
B)0.35
C)0.55
D)0.65

Question 47

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
The probability that a person wants either better fuel efficiency or a vehicle navigation system is:

A)0.90
B)0.10
C)0.45
D)0.35

Question 48

A junior executive looking at his business attire in his closet notes that he has five suits,six shirts,and three pairs of shoes.He is going on a business trip and needs to take two of each.How many different combinations of outfits could he take?

A)680
B)320
C)450
D)224

Question 49

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20.The probability that house sales will decrease is estimated to be 0.6.The probability that interest rates will go up and house sales will decrease is estimated to be 0.15.
The probability that house sales will go down given that interest rates will go up is:

A)0.95
B)0.90
C)0.75
D)0.80

Question 50

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent marketing survey related consumers' awareness of a new marketing campaign with their rating of the product.Consumers rated their awareness as low,medium,or high,and rated the product as poor,fair,or good.The results are presented below.
What is the probability that a consumer who had high awareness of the ad campaign ranked the product as good?

A)0.675
B)0.385
C)0.775
D)0.325

Question 51

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
The probability that a person wants better fuel efficiency but not a vehicle navigation system is:

A)0.90
B)0.10
C)0.45
D)0.35

Question 52

A research project on retention at a large university indicated that 20% of the students had a problem with stress while 25% reported problems with financial resources and 15% had a problem with both.What is the probability that a particular student has a problem with either stress or financial resources?

A)0.15
B)0.30
C)0.45
D)0.60

Question 53

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent marketing survey related consumers' awareness of a new marketing campaign with their rating of the product.Consumers rated their awareness as low,medium,or high,and rated the product as poor,fair,or good.The results are presented below.
What is the probability that a consumer who ranked the product as fair had a high awareness of the ad campaign?

A)0.06
B)0.26
C)0.23
D)0.40

Question 54

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
The probability that a person wants a better fuel efficiency given that he wants a vehicle navigation system is approximately:

A)0.90
B)0.45
C)0.82
D)0.41

Question 55

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
The probability that a person does not want a vehicle navigation system is:

A)0.45
B)0.10
C)0.90
D)0.35

Question 56

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20.The probability that house sales will decrease is estimated to be 0.6.The probability that interest rates will go up and house sales will decrease is estimated to be 0.15.
The probability of not an increase in interest rates and not a decrease in house sales is:

A)0.50
B)0.35
C)0.20
D)0.05

Question 57

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
The probability that a person wants neither better fuel efficiency nor a vehicle navigation system is:

A)0.90
B)0.10
C)0.45
D)0.35

Question 58

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A multiple choice quiz has five questions,each with five answers,A through E.Assume you just guess on all of the questions.
What is the probability that you get exactly three questions right?

A)0.00032
B)0.0016
C)0.008
D)0.04

Question 59

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
The probability that a person wants a vehicle navigation system but not better fuel efficiency is:

A)0.90
B)0.10
C)0.45
D)0.35

Question 60

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent marketing survey related consumers' awareness of a new marketing campaign with their rating of the product.Consumers rated their awareness as low,medium,or high,and rated the product as poor,fair,or good.The results are presented below.
What is the probability that a consumer had low awareness?

A)0.10
B)0.14
C)0.23
D)0.07

Question 61

In a recent article it was reported that 35.4% of all high school students smoke cigarettes.65% of these students plan on going to college.What is the probability that a randomly selected student smokes cigarettes and plans on going to college?

A)0.354
B)0.230
C)0.124
D)0.412

Question 62

An office of six people is plagued by high absenteeism.It is thought that the probability that an employee is absent on a particular day is 0.03.Assuming that the event that one person is absent on a particular day is independent of the absence of any other employee,what is the probability that at least one employee is absent tomorrow?

A)0.121
B)0.180
C)0.150
D)0.167

Question 63

If the firm interviewed was from the West,what is the probability that it expected medium or high growth?

A)0.24
B)0.35
C)0.16
D)0.46

Question 64

In a survey of 100 large corporations,it was found that 72% offer some form of tuition assistance plan for their workers.64% of the 100 corporations offer both a tuition assistance plan as well as provide dental insurance for dependents.What is the probability that a corporation that offers a tuition assistance plan also offers dental insurance for dependents?

A)0.89
B)0.46
C)0.64
D)0.68

Question 65

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent survey showed that 15% of computer programmers have experienced some form of wrist pain from typing,and that 25% are taking aspirin daily.Six percent of all programmers have both experienced some form of wrist pain from typing and taken aspirin on a daily basis.
What is the probability that a programmer does not have wrist pain and does not take aspirin on a daily basis?

A)0.75
B)0.66
C)0.85
D)0.25

Question 66

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A survey of recent e-commerce start-up firms was undertaken at an industry convention.Representatives of the firm were asked for the geographic location of the firm as well as the firm's outlook for growth in the coming year.The results are provided below.
What is the probability that one of these start-up firms was from the Northeast?

A)0.04
B)0.12
C)0.49
D)0.33

Question 67

The purchasing agent for a municipality has contracted with a local car dealer to purchase four cars.The dealer has 25 cars on his lot;10 red,7 blue,6 white,and 2 purple.If the purchasing agent has no control over the colors he receives,what is the probability that he receives at least one of the purple cars?

A)0.33
B)0.30
C)0.36
D)0.39

Question 68

Are the events "firm from the South" and "expects high growth" statistically independent?

A)Yes
B)No
C)Maybe
D)Unable to tell from the data

Question 69

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent survey showed that 15% of computer programmers have experienced some form of wrist pain from typing,and that 25% are taking aspirin daily.Six percent of all programmers have both experienced some form of wrist pain from typing and taken aspirin on a daily basis.
What is the probability that a programmer who takes aspirin on a daily basis has wrist pain?

A)0.09
B)0.19
C)0.24
D)0.40

Question 70

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent survey showed that 15% of computer programmers have experienced some form of wrist pain from typing,and that 25% are taking aspirin daily.Six percent of all programmers have both experienced some form of wrist pain from typing and taken aspirin on a daily basis.
What is the probability that a programmer who has wrist pain takes aspirin on a daily basis?

A)0.40
B)0.24
C)0.57
D)0.66

Question 71

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
The probability that a person wants a vehicle navigation system given that he wants a better fuel efficiency is approximately:

A)0.80
B)0.40
C)0.45
D)0.56

Question 72

As the office manager for a medical office with ten doctors,you are responsible for developing the roster for the on-call shift for the next three nights.How many different ways could you assign a different doctor to each of the next three nights?

A)1020
B)840
C)720
D)640

Question 73

Which of the following statements is true?

A)If events A and B are complements,then the intersection of A and the complement of B is the sample space.
B)If events A and B are mutually exclusive,then the intersection of A and B is the empty set.
C)If events A and B are mutually exclusive,then the union of A and B is the sample space.
D)If events A and B are mutually exclusive,then the union of A and B is the empty set.

Question 74

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Given A= {E₃,E₄,E₈,E₁₀} and B = {E₃,E₄,E₆,E₉}
What is the intersection of A and B?

A)E₃,E₄
B)E₃,E₄,E₆,E₈,E₉,E₁₀
C)E₁,E₂,E₅,E₇
D)E₆,E₈,E₉,E₁₀

Question 75

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Given A= {E₃,E₄,E₈,E₁₀} and B = {E₃,E₄,E₆,E₉}
What is the union of A and B?

A)E₃,E₄
B)E₃,E₄,E₆,E₈,E₉,E₁₀
C)E₁,E₂,E₅,E₇
D)E₆,E₈,E₉,E₁₀

Question 76

A junior executive looking at his business attire in his closet notes that he has eight suits,six shirts,and four pairs of shoes.He is going on a business trip and needs to take two of each.How many different combinations of outfits could he take?

A)2240
B)3320
C)1680
D)2520

Question 77

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent survey showed that 15% of computer programmers have experienced some form of wrist pain from typing,and that 25% are taking aspirin daily.Six percent of all programmers have both experienced some form of wrist pain from typing and taken aspirin on a daily basis.
What is the probability that a programmer has wrist pain and does not take aspirin on a daily basis?

A)0.25
B)0.15
C)0.19
D)0.09

Question 78

A gumball machine has six red gumballs,four blue gumballs,and three yellow gumballs.If you buy three gumballs,what is the probability that you get three different colors?

A)0.252
B)0.167
C)0.125
D)0.244

Question 79

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent survey showed that 15% of computer programmers have experienced some form of wrist pain from typing,and that 25% are taking aspirin daily.Six percent of all programmers have both experienced some form of wrist pain from typing and taken aspirin on a daily basis.
What is the probability that a programmer has wrist pain or takes aspirin on a daily basis?

A)0.66
B)0.25
C)0.34
D)0.15

Question 80

If the firm interviewed was expecting medium or high growth,what is the probability of the firm being located in the West?

A)0.16
B)0.31
C)0.46
D)0.27