Question 1

The union of events A and B is the event containing all the sample points belonging to

Accepted Answer

A)   B or A.
B)   A or B.
C)   A or B or both.
D)   A or B, but not both.E) All of the above
F) B) and C)

Question 2

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

Accepted Answer

A)   relative frequency method.
B)   subjective method.
C)   probability method.
D)   classical method.E) A) and B)
F) All of the above

Question 3

​An element of the sample space is

Accepted Answer

A)   ​an event.
B)   ​an experiment.
C)   ​a sample point.
D)   ​a permutation.E) B) and D)
F) All of the above

Question 4

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

Accepted Answer

A)   much larger than any other outcome.
B)   much smaller than any other outcome.
C)   1/6.
D)   1/216.E) A) and B)
F) None of the above

Question 5

In an experiment, events A and B are mutually exclusive.If P(A)  = 0.6, then the probability of B

Accepted Answer

A)   cannot be larger than 0.4.
B)   can be any value greater than 0.6.
C)   can be any value between 0 to 1.
D)   cannot be determined with the information given.E) All of the above
F) B) and D)

Question 6

If P(A)  = 0.7, P(B)  = 0.6, P(A ∩ B)  = 0, then events A and B are

Accepted Answer

A)   non-mutually exclusive.
B)   mutually exclusive.
C)   independent events.
D)   complements of each other.E) B) and D)
F) A) and C)

Question 7

If A and B are mutually exclusive events with P(A)  = 0.3 and P(B)  = 0.5, then P(A ∪ B)  =

Accepted Answer

A)   0.00.
B)   0.15.
C)   0.80.
D)   0.20.E) A) and B)
F) A) and C)

Question 8

​Revised probabilities of events based on additional information are

Accepted Answer

A)   ​joint probabilities.
B)   ​posterior probabilities.
C)   ​marginal probabilities.
D)   ​complementary probabilities.E) A) and B)
F) None of the above

Question 9

If two events are independent, then

Accepted Answer

A)   they must be mutually exclusive.
B)   the sum of their probabilities must be equal to one.
C)   their intersection must be zero.
D)   the product of their probabilities gives their intersection.E) A) and C)
F) A) and D) D

Question 10

Each customer entering a department store will either buy or not buy some merchandise.An experiment consists of following 4 customers and determining whether or not they purchase any merchandise.How many sample points exist in the above experiment? (Note that each customer is either a purchaser or non-purchaser.)

Accepted Answer

A)   2
B)   4
C)   12
D)   16E) A) and B)
F) None of the above D

Question 11

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called the

Accepted Answer

A)   counting rule for permutations.
B)   counting rule for combinations.
C)   counting rule for independent events.
D)   counting rule for multiple-step random experiments.E) B) and C)
F) A) and D)

Question 12

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a​

Accepted Answer

A)   Frequency polygon.
B)   ​Venn diagram.
C)   ​Pareto chart.
D)   ​Box plot.E) B) and C)
F) A) and B) B

Question 13

If A and B are independent events with P(A)  = 0.2 and P(B)  = 0.6, then P(A ∪ B)  =

Accepted Answer

A)   0.62.
B)   0.12.
C)   0.60.
D)   0.68.E) None of the above
F) A) and D)

Question 14

A six-sided die is tossed 3 times.The probability of observing three ones in a row is

Accepted Answer

A)   1/6.
B)   3/6.
C)   1/27.
D)   1/216.E) All of the above
F) A) and D)

Question 15

If A and B are mutually exclusive events with P(A)  = 0.3 and P(B)  = 0.5, then P(A ∩ B)  =

Accepted Answer

A)   0.30.
B)   0.15.
C)   0.00.
D)   0.20.E) A) and B)
F) A) and C)

Question 16

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is​

Accepted Answer

A)   ​all new customers.
B)   ​all accounts fewer than 31 or more than 60 days past due.
C)   ​all accounts from new customers and all accounts that are from 31 to 60 days past due.
D)   ​all new customers whose accounts are between 31 and 60 days past due.E) A) and D)
F) A) and C)

Question 17

If A and B are independent events with P(A)  = 0.65 and P(A ∩ B)  = 0.26, then, P(B)  =

Accepted Answer

A)   0.400.
B)   0.169.
C)   0.390.
D)   0.650.E) None of the above
F) B) and D)

Question 18

An experiment consists of tossing 4 coins successively.The number of sample points in this experiment is

Accepted Answer

A)   16.
B)   8.
C)   4.
D)   2.E) B) and C)
F) A) and C)

Question 19

If P(A)  = 0.4, P(B | A)  = 0.35, P(A ∪ B)  = 0.69, then P(B)  =

Accepted Answer

A)   0.14.
B)   0.43.
C)   0.75.
D)   0.59.E) A) and B)
F) A) and C)

Question 20

If A and B are independent events with P(A)  = .1 and P(B)  = .4, then

Accepted Answer

A)   P(
A)   
B)   = 0.
B)   P(A )  
B)   = .04.
C)   P(A * 
B)   = .5.
D)   P(A  ∩\cap∩ 
B)   = .25. E) C) and D)
F) None of the above

Exam 4: Introduction to Probability

The union of events A and B is the event containing all the sample points belonging to

Correct Answer
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When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

Correct Answer
verified

An element of the sample space is

Correct Answer
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If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

Correct Answer
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In an experiment, events A and B are mutually exclusive.If P(A) = 0.6, then the probability of B

Correct Answer
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If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are

Correct Answer
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If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∪ B) =

Correct Answer
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Revised probabilities of events based on additional information are

Correct Answer
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If two events are independent, then

Correct Answer
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D

Correct Answer
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D

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called the

Correct Answer
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A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a

Correct Answer
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B

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪ B) =

Correct Answer
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A six-sided die is tossed 3 times.The probability of observing three ones in a row is

Correct Answer
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If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∩ B) =

Correct Answer
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In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is

Correct Answer
verified

If A and B are independent events with P(A) = 0.65 and P(A ∩ B) = 0.26, then, P(B) =

Correct Answer
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An experiment consists of tossing 4 coins successively.The number of sample points in this experiment is

Correct Answer
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If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

Correct Answer
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If A and B are independent events with P(A) = .1 and P(B) = .4, then

Correct Answer
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Exam 4: Introduction to Probability

The union of events A and B is the event containing all the sample points belonging to

Correct AnswerverifiedShow Answer

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

Correct AnswerverifiedShow Answer

​An element of the sample space is

Correct AnswerverifiedShow Answer

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

Correct AnswerverifiedShow Answer

In an experiment, events A and B are mutually exclusive.If P(A) = 0.6, then the probability of B

Correct AnswerverifiedShow Answer

If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are

Correct AnswerverifiedShow Answer

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∪ B) =

Correct AnswerverifiedShow Answer

​Revised probabilities of events based on additional information are

Correct AnswerverifiedShow Answer

If two events are independent, then

Correct AnswerverifiedD

Correct AnswerverifiedD

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called the

Correct AnswerverifiedShow Answer

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a​

Correct AnswerverifiedB

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪ B) =

Correct AnswerverifiedShow Answer

A six-sided die is tossed 3 times.The probability of observing three ones in a row is

Correct AnswerverifiedShow Answer

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∩ B) =

Correct AnswerverifiedShow Answer

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is​

Correct AnswerverifiedShow Answer

If A and B are independent events with P(A) = 0.65 and P(A ∩ B) = 0.26, then, P(B) =

Correct AnswerverifiedShow Answer

An experiment consists of tossing 4 coins successively.The number of sample points in this experiment is

Correct AnswerverifiedShow Answer

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

Correct AnswerverifiedShow Answer

If A and B are independent events with P(A) = .1 and P(B) = .4, then

Correct AnswerverifiedShow Answer

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An element of the sample space is

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Revised probabilities of events based on additional information are

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D

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D

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A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a

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B

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In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is

Correct Answer
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