Deck 4: Probability

Question 1

Which of the following values cannot be the probability of an event?

A)0.33
B)2.47
C)0.25
D)1.00

Answer 1

2.47

Question 2

Two events A and B are independent if

A)P(A)is equal to P(B)
B)P(B|A)is equal to P(A)
C)P(A|B)is equal to P(A)
D)P(A|B)is equal to P(B)

Answer 2

P(A|B)is equal to P(A)

Question 3

You toss a coin nine times and observe 3 heads and 6 tails.This event is a:

A)compound event
B)simple event
C)multiple outcome
D)multinomial sample point

Answer 3

simple event

Question 4

You select one person from a group of eight males and two females.The two events "a male is selected" and "a female is selected" are

A)independent
B)equally likely
C)not equally likely
D)collectively exhaustive

Question 5

The experiment of tossing a coin 3 times has

A)2 outcomes
B)8 outcomes
C)6 outcomes
D)5 outcomes

Question 6

You randomly select two households and observe whether or not they own a telephone answering machine.Which of the following is a simple event?

A)Exactly one of them owns a telephone answering machine.
B)At least one of them owns a telephone answering machine.
C)At most one of them owns a telephone answering machine.
D)Neither of the two owns a telephone answering machine.

Question 7

A statistical experiment is a process that,when performed:

A)results in one and only one of two observations
B)results in at least two of many observations
C)may not lead to the occurrence of any outcome
D)results in one and only one of many observations

Question 8

According to the relative frequency concept of probability,the probability of an event is

A)1 divided by the total number of outcomes for the experiment
B)the number of times the given event is observed divided by the total number of repetitions of the experiment
C)the number of outcomes favorable to the given event divided by the sample space
D)the sample space divided by the number of outcomes favorable to the given event

Question 9

The probability of an event is always

A)greater than zero
B)less than 1
C)between 0 and 1,inclusive
D)greater than 1

Question 10

A simple event

A)is a collection of exactly two outcomes
B)includes one and only one outcome
C)does not include any outcome
D)includes all possible outcomes

Question 11

A conditional probability is a probability

A)of a sample space based on a certain condition
B)that an event will occur given that another event has already occurred
C)that an event will occur based on the condition that no other event is being considered
D)that an event will occur based on the condition that no other event has already occurred

Question 12

Use the following to answer questions :
A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.
The joint probability (rounded to three decimal places)of events "Male" and "No Opinion" is:

Question 13

A compound event includes

A)at least three outcomes
B)at least two outcomes
C)one and only one outcome
D)all outcomes of an experiment

Question 14

A sample point is

A)a collection of many sample spaces
B)a point that represents a population in a sample
C)an element of a sample space
D)a collection of observations

Question 15

Two mutually exclusive events

A)always occur together
B)can sometimes occur together
C)cannot occur together
D)can occur together,provided one has already occurred

Question 16

Two complementary events

A)taken together do not include all outcomes for an experiment
B)taken together include all outcomes for an experiment
C)can occur together
D)are always independent

Question 17

A marginal probability is a probability of

A)a sample space
B)an outcome when another outcome has already occurred
C)an event without considering any other event
D)an experiment calculated at the margin

Question 18

Two events are independent if the occurrence of one event

A)affects the probability of the occurrence of the other event
B)does not affect the probability of the occurrence of the other event
C)means that the second event cannot occur
D)means that the second event is certain to occur

Question 19

An event

A)is the same as a sample space
B)includes exactly one outcome
C)includes one or more outcomes
D)includes all possible outcomes

Question 20

A box contains a few red,a few black,and a few white marbles.Two marbles are randomly drawn from this box and the color of these marbles is observed.The total number of outcomes for this experiment is

A)3
B)6
C)9
D)you can't tell until you know exactly how many marbles are in the box

Question 21

The probability that a corporation made profits in 2005 is 0.80 and the probability that a corporation made charitable contributions in 2005 is 0.25.Assuming that these two events are independent,the probability (rounded to 4 decimal places)that a corporation made profits in 2005 and made charitable contributions in 2005 is:

Question 22

The probability that an employee of a company is a male is 0.65 and the joint probability that an employee of this company is a male and single is 0.23.The probability (rounded to three decimal places)that a randomly selected employee of this company is single given he is a male is:

Question 23

The athletic department of a school has 12 full-time coaches,and 4 of them are female.The director selects two coaches at random from this group.The probability (to three decimal places)that neither of them is a female is:

Question 24

The probability that a person is a college graduate is 0.40 and that he/she has high blood pressure is 0.18.Assuming that these two events are independent,the probability (to four decimal places)that a person selected at random is a college graduate or has high blood pressure is

Question 25

The joint probability of two mutually exclusive events is always equal to (rounded to one decimal place)

Question 26

The probability that a person is a college graduate is 0.34 and that he/she has high blood pressure is 0.13.Assuming that these two events are independent,the probability (to four decimal places)that a person selected at random is a college graduate and has high blood pressure is

Question 27

Use the following to answer questions :
A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.
The probability (rounded to three decimal places)that the selected adult has no opinion or is a male is:

Question 28

In a class of 49 students,11 are math majors.The teacher selects two students at random from this class.The probability (to three decimal places)that both of them are math majors is:

Question 29

The probability that a physician is a pediatrician is 0.24.The administration selects three physicians at random.The probability (rounded to three decimal places)that exactly two of them are pediatricians is:

Question 30

Use the following to answer questions :
A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.
The probability that the selected adult has no opinion is: (Round your answer to 2 decimal places.)

Question 31

The probability that an adult possesses a credit card is 0.77.A researcher selects four adults at random.The probability (rounded to three decimal places)that three of the four adults possess a credit card is:

Question 32

The probability that a corporation made profits in 2005 is 0.78 and the probability that a corporation made charitable contributions in 2005 is 0.23.Assuming that these two events are independent,the probability (rounded to 4 decimal places)that a corporation made profits in 2005 or made charitable contributions in 2005,but not both is:

Question 33

The probability that an adult possesses a credit card is 0.71.A researcher selects two adults at random.The probability (rounded to three decimal places)that the first adult possesses a credit card and the second adult does not possess a credit card is:

Question 34

Use the following to answer questions :
A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.
The probability (rounded to three decimal places)that the selected adult is a female or thinks that Democrats have better domestic economic policies is:

Question 35

The intersection of two events A and B is made up of the outcomes that are:

A)either in A or in B or in both A and B
B)common to both A and B
C)either in A or in B,but not both
D)not common to both A and B

Question 36

Use the following to answer questions :
A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.
The joint probability (rounded to three decimal places)of events "Republicans" and "Democrats" is:

Question 37

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

A)
B)
C)
D)

Question 38

The probability that a physician is a pediatrician is 0.16.The administration selects two physicians at random.The probability (rounded to three decimal places)that none of them is a pediatrician is:

Question 39

Use the following to answer questions :
A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.
The probability that this adult is a male or doesn't think that Democrats have better domestic economic policies is: (Round your answer to 3 decimal places.)

Question 40

The joint probability of two independent events A and B is:

A)
B)
C)
D)

Question 41

Pioneer Of The Nile (A),I Want Revenge (B),and Hold Me Back (C),were the three favorites to win the Kentucky Derby.According to an expert,they should arrive first,second and third,respectively.
The tree diagram for the sample space is given below.

A)Complete the tree diagram from top to bottom
B)State the composition of the event E = [exactly two horses arrived in the predicted place]

Question 42

The probability that a family has at least one child is 0.79,that a family owns a camcorder is 0.19,and that a family has at least one child and owns a camcorder is 0.07.The probability that a randomly selected family has at least one child or owns a camcorder is:

Question 43

The probability of the union of two events A and B,that are mutually exclusive,is:

A)
B)
C)
D)

Question 44

Friends will be called,one after another,and asked to go on a weekend trip with you.You will call until one agrees to go (A)or four friends are asked.What is the tree diagram for the sample space for this experiment?

A)

B)

C)

D)

Question 45

The probability of the union of two events A and B is:

A)
B)
C)
D)

Question 46

Use the following to answer questions :
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.

If the researcher selects one battery at random from these 300 batteries,the probability (rounded to three decimal places)that this battery is good or made by company B is

Question 47

The total number of outcomes for 3 rolls of a 9-sided die is:

Question 48

The probability that a student at a university is a male is 0.52,that a student is a business major is 0.17,and that a student is a male and a business major is 0.08.The probability that a randomly selected student from this university is a male or a business major is:

Question 49

The probability of the union of two events A and B is the probability that:

A)neither event A happens nor event B happens
B)both events do not happen together
C)both events A and B happen together
D)either event A or event B or both A and B happen

Question 50

Use the following to answer questions :
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.

The probability that a person drinks at least five cups of coffee per day is 0.30,and the probability that a person has high blood pressure is 0.09.Assuming that these two events are independent,find the probability (to four decimal places)that a person selected at random drinks less than five cups of coffee per day or has high blood pressure.

Question 51

From the probabilities shown in this Venn diagram,determine the probability A does not occur.

Question 52

Use the following to answer questions :
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.

If the researcher selects one battery at random from these 300 batteries,the probability (rounded to three decimal places)that this battery is defective or made by company A is

Question 53

From the probabilities shown in this Venn diagram,determine the probability that A occurs and B does not occur.

Question 54

A woman owns 15 blouses,10 skirts,and 4 pairs of shoes.She will randomly select one blouse,one skirt,and one pair of shoes to wear on a certain day.The total number of possible outcomes is:

Question 55

Use the following to answer questions :
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.

The probability that a person drinks at least five cups of coffee per day is 0.31,and the probability that a person has high blood pressure is 0.09.Assuming that these two events are independent,find the probability (to four decimal places)that a person selected at random drinks less than five cups of coffee per day and has high blood pressure.

Question 56

The union of two events A and B represents the outcomes that are:

A)either in A or in B or in both A and B
B)common to both A and B
C)neither in A nor in B
D)not common to both A and B

Question 57

The sample space is given by the first 15 positive integers.
Consider the events:
A = [odd integers] B = [prime integers]
Make a Venn diagram showing these events.

A)

B)

C)

D)

Question 58

Use the following to answer questions :
A consume researcher inspects 300 batteries manufactured by two companies for being good or defective.The following table gives the two-way classification of these 300 batteries.

If the researcher selects one battery at random from these 300 batteries,the probability (rounded to three decimal places)that this battery is good or made by company A is

Question 59

A company has a total of 575 male employees.Of them,134 are single,276 are married,122 are either divorced or separated,and 43 are widowers.If management selects one male employee at random from the company,the probability (rounded to three decimal places)that this employee is married or a widower is:

Question 60

The probability that a farmer is in debt is 0.76.The joint probability that a farmer is in debt and lives in the Midwest is 0.21.The probability (rounded to three decimal places)that a randomly selected farmer lives in the Midwest,given that he is in debt is:

Question 61

The probability of rolling a 1 on a die and flipping heads on a coin at the same time is:

Question 62

The factorial of zero is:

Question 63

In general,"n factorial" represents:

A)the product of any n numbers
B)the sum of all integers from n to 1
C)the product of all integers from n to 1
D)n-1

Question 64

When a person makes an educated guess about the likelihood that an event will occur,it is an example of

A)conditional probability.
B)marginal probability.
C)subjective probability.
D)classical probability.

Question 65

Given the table.
What is the probability that a randomly selected Male will answer "Yes" or "No"?

Question 66

The factorial of (13 - 8)is:

Question 67

The factorial of (5 - 0)is:

Question 68

The number of combinations for selecting 7 elements from 7 distinct elements is:

Question 69

From the probabilities shown in this Venn diagram,determine the probability that exactly one of the events A and B occurs.

Question 70

An investor randomly selects 9 stocks from 11 stocks for an investment portfolio.The total number of combinations is:

Question 71

The number of combinations for selecting 6 elements from 13 distinct elements is:

Question 72

A court randomly selects a jury of 8 persons from a group of 21 persons.The total number of combinations is:

Question 73

The factorial of (14 - 14)is:

Question 74

The factorial of 7 is:

Question 75

The number of combinations for selecting zero elements from 9 distinct elements is: