Deck 4: Probability

Question 1

A probability model is a mathematic representation of a random phenomenon.

Answer 1

True

Question 2

Two mutually exclusive events having positive probabilities are ______________ dependent.

A) always
B) sometimes
C) never

Answer 2

always

Question 3

Mutually exclusive events have a nonempty intersection.

Answer 3

False

Question 4

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

Question 5

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

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

Question 6

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

Question 7

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

Question 8

There are two types of probability distributions: discrete and binomial.

Question 9

An event is a collection of sample space outcomes.

Question 10

A contingency table is a tabular summary of probabilities concerning two sets of complementary events.

Question 11

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

Question 12

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

Question 13

Events that have no sample space outcomes in common,and therefore cannot occur simultaneously,are referred to as independent events.

Question 14

The probability of an event is the sum of the probabilities of the sample space outcomes that correspond to the event.

Question 15

A random variable is a numerical value that is determined by the outcome of an experiment.

Question 16

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

Question 17

A subjective probability is a probability assessment that is based on experience,intuitive judgment,or expertise.

Question 18

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

Question 19

A ___________________ is a measure of the chance that an uncertain event will occur.

A) random experiment
B) sample space
C) probability
D) complement
E) population

Question 20

Bayes' Theorem uses prior probabilities with additional information to compute posterior probabilities.

Question 21

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

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

Question 22

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

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

Question 23

The simultaneous occurrence of events A and B is represented by the notation _______________.

A) A υ B
B) A|B
C) A∩B
D) B|A

Question 24

Probabilities must be assigned to sample space outcomes so that the probability assigned to each sample space outcome must be between ____________,inclusive.

A) 0 and 100
B) -100 and 100
C) 0 and 1
D) -1 and 1

Question 25

If events A and B are independent,then the probability of simultaneous occurrence of event A and event B can be found with ____________.

A) P(A)·P(B)
B) P(A)·P(B|A)
C) P(B)·P(A|B)
D) All of these choices are correct.

Question 26

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

Question 27

A(n)______________ is a collection of sample space outcomes.

A) experiment
B) event
C) set
D) probability

Question 28

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)

Question 29

P(A υ B)= P(A)+ P(B)− P(A∩B)represents the formula for the ____________.

A) conditional probability
B) addition rule
C) addition rule for two mutually exclusive events
D) multiplication rule

Question 30

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

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

Question 31

The __________ of event X consists of all sample space outcomes that do not correspond to the occurrence of event X.

A) independence
B) complement
C) conditional probability
D) dependence

Question 32

The _____________ of an event is a number that measures the likelihood that an event will occur when an experiment is carried out.

A) outcome
B) probability
C) intersection
D) observation

Question 33

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)

Question 34

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

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

Question 35

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

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

Question 36

A(n)_______________ probability is a probability assessment that is based on experience,intuitive judgment,or expertise.

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

Question 37

A process of observation that has an uncertain outcome is referred to as a(n)_____________.

A) probability
B) frequency
C) conditional probability
D) experiment

Question 38

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

Question 39

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

Question 40

Probabilities must be assigned to each sample space outcome so that the probabilities of all the sample space outcomes add up to _____________.

A) 1
B) between 0 and 1
C) between -1 and 1
D) 0

Question 41

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

Question 42

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

Question 43

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.

Question 44

What is the probability of rolling a seven with a pair of fair dice?

A) 6/36
B) 3/36
C) 1/36
D) 8/36
E) 7/36