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A(n) _____________ is the set of all of the distinct possible outcomes of an experiment.


A) sample space
B) union
C) intersection
D) observation

E) A) and C)
F) B) and C)

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If P(A) > 0 and P(B) > 0 and events A and B are independent,then ____________.


A) P(A) = P(B)
B) P(A|B) = P(A)
C) P(A∩B) = 0
D) P(A∩B) = P(A) P(BυA)

E) C) and D)
F) A) and C)

Correct Answer

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The ___________ of two events X and Y is another event that consists of the sample space outcomes belonging to either event X or event Y or both events X and Y.


A) complement
B) union
C) intersection
D) conditional probability

E) A) and B)
F) A) and C)

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A manager has just received the expense checks for six of her employees.She randomly distributes the checks to the six employees.What is the probability that exactly five of them will receive the correct checks (checks with the correct names) ?


A) 1
B) 1/2
C) 1/6
D) 0
E) 1/3

F) A) and B)
G) C) and D)

Correct Answer

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If events A and B are independent,then P(A|B) is equal to _____________.


A) P(B)
B) P(A∩B)
C) P(A)
D) P(A υ B)

E) None of the above
F) All of the above

Correct Answer

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Bayes' Theorem is always based on two states of nature and three experimental outcomes.

A) True
B) False

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Events that have no sample space outcomes in common,and therefore cannot occur simultaneously,are ____________.


A) independent
B) mutually exclusive
C) intersections
D) unions

E) None of the above
F) B) and C)

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The set of all possible outcomes for an experiment is called a(n) ____________.


A) sample space
B) event
C) experiment
D) probability

E) All of the above
F) A) and B)

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The probability model describing an experiment consists of


A) sample space.
B) probabilities of the sample space outcomes.
C) sample space and probabilities of the sample space outcomes.
D) independent events.
E) random variables.

F) A) and D)
G) B) and E)

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Mutually exclusive events have a nonempty intersection.

A) True
B) False

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The method of assigning probabilities when all outcomes are equally likely to occur is called the classical method.

A) True
B) False

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What is the probability of rolling a value higher than eight with a pair of fair dice?


A) 6/36
B) 18/36
C) 10/36
D) 8/36
E) 12/36

F) B) and E)
G) A) and B)

Correct Answer

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If events A and B are mutually exclusive,then P(A∩B)is always equal to zero.

A) True
B) False

Correct Answer

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A(n) ____________ is the probability that one event will occur given that we know that another event already has occurred.


A) sample space outcome
B) subjective probability
C) complement of events
D) long-run relative frequency
E) conditional probability

F) C) and D)
G) All of the above

Correct Answer

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If two events are independent,we can _____________ their probabilities to determine the intersection probability.


A) divide
B) add
C) multiply
D) subtract

E) B) and C)
F) C) and D)

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Two events are independent if the probability of one event is influenced by whether or not the other event occurs.

A) True
B) False

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What is the probability of at least one tail in the toss of three fair coins?


A) 1/8
B) 4/8
C) 5/8
D) 7/8
E) 6/8

F) A) and B)
G) C) and D)

Correct Answer

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When the probability of one event is not influenced by whether or not another event occurs,the events are said to be _____________.


A) independent
B) dependent
C) mutually exclusive
D) experimental

E) A) and B)
F) C) and D)

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A probability may be interpreted as a long-run _____________ frequency.


A) observational
B) relative
C) experimental
D) conditional

E) C) and D)
F) B) and C)

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Two mutually exclusive events having positive probabilities are ______________ dependent.


A) always
B) sometimes
C) never

D) None of the above
E) All of the above

Correct Answer

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