Deck 4: Probability and Probability Models

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Question
If events A and B are independent, then P(A|B) is always equal to zero.
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Question
A subjective probability is a probability assessment that is based on experience, intuitive judgment, or expertise.
Question
Events that have no sample space outcomes in common, and therefore cannot occur simultaneously, are referred to as independent events.
Question
Bayes' Theorem is always based on two states of nature and three experimental outcomes.
Question
An event is a collection of sample space outcomes.
Question
A probability model is a mathematic representation of a random phenomenon.
Question
Two mutually exclusive events having positive probabilities are ________ dependent.

A) always
B) sometimes
C) never
Question
If events A and B are mutually exclusive, then P(A|B) is always equal to zero.
Question
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
Mutually exclusive events have a nonempty intersection.
Question
In which of the following are the two events A and B always independent?

A) A and B are mutually exclusive.
B) The probability of event A is influenced by the probability of event B.
C) The intersection of A and B is zero.
D) P(A|B) = P(B|A).
E) The probability of event A is not influenced by whether event B occurs, or P(A|B) = P(A).
Question
There are two types of probability distributions: discrete and binomial.
Question
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
The probability of an event is the sum of the probabilities of the sample space outcomes that correspond to the event.
Question
In any probability situation, either an event or its complement must occur.
Question
Two events are independent if the probability of one event is influenced by whether or not the other event occurs.
Question
If events A and B are mutually exclusive, then P(A∩B) is always equal to zero.
Question
A random variable is a numerical value that is determined by the outcome of an experiment.
Question
Bayes' Theorem uses prior probabilities with additional information to compute posterior probabilities.
Question
The method of assigning probabilities when all outcomes are equally likely to occur is called the classical method.
Question
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
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
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
The set of all possible outcomes for an experiment is called a(n) ________.

A) sample space
B) event
C) experiment
D) probability
Question
If two events are independent, we can ________ their probabilities to determine the intersection probability.

A) divide
B) add
C) multiply
D) subtract
Question
A ________ 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
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
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
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
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(AUB)
Question
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(B∪A)
Question
A probability may be interpreted as a long-run ________ frequency.

A) observational
B) relative
C) experimental
D) conditional
Question
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
A(n) ________ is a collection of sample space outcomes.

A) experiment
B) event
C) set
D) probability
Question
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
P(AUB) = 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
The simultaneous occurrence of events A and B is represented by the notation ________.

A) AUB
B) A|B
C) A∩B
D) B|A
Question
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
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
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
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
Determine whether these two events are mutually exclusive: someone born in the United States and a U.S. citizen.

A) mutually exclusive
B) not mutually exclusive
Question
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are R and C mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
Question
Determine whether these two events are mutually exclusive: unmarried person and a person with an employed spouse.

A) mutually exclusive
B) not mutually exclusive
Question
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
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are R and A mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
Question
A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not defective?

A) 0.3333
B) 0.2545
C) 0.5000
D) 0.2963
E) 0.0370
Question
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are A and N mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
Question
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
What is the probability that a king appears in drawing a single card from a deck of 52 cards?

A) 4/13
B) 1/13
C) 1/52
D) 1/12
E) 2/13
Question
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
Question
Determine whether these two events are mutually exclusive: voter who favors gun control and an unregistered voter.

A) mutually exclusive
B) not mutually exclusive
Question
Determine whether these two events are mutually exclusive: consumer with an unlisted phone number and a consumer who does not drive.

A) mutually exclusive
B) not mutually exclusive
Question
Determine whether these two events are mutually exclusive: someone with three sisters and someone with four siblings.

A) mutually exclusive
B) not mutually exclusive
Question
The ________ of two events A and B is the event that consists of the sample space outcomes belonging to both event A and event B.

A) union
B) intersection
C) complement
D) mutual exclusivity
Question
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are D and C mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
Question
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are N and C mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
Question
What is the probability that an even number appears on the toss of a die?

A) 0.5
B) 0.33
C) 0.25
D) 0.67
E) 1.00
Question
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
If we consider the toss of four coins as an experiment, how many outcomes does the sample space consist of?

A) 8
B) 4
C) 16
D) 32
E) 2
Question
Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that both items are not defective?

A) 0.3750
B) 0.3846
C) 0.1500
D) 0.6154
E) 0.2000
Question
A machine is made up of 3 components: an upper part, a middle part, and a lower part. The machine is then assembled. 5 percent of the upper parts are defective, 4 percent of the middle parts are defective, and 1 percent of the lower parts are defective. What is the probability that a machine is not defective?

A) 0.1000
B) 0.9029
C) 0.8000
D) 0.0002
E) 0.7209
Question
A card is drawn from a standard deck. What is the probability the card is an ace, given that it is a club?

A) 1/52
B) 1/13
C) 4/13
D) 1/4
Question
A group has 12 men and 4 women. If 3 people are selected at random from the group, what is the probability that they are all men?

A) 0.4219
B) 0.5143
C) 0.3929
D) 0.0156
E) 0.0045
Question
A pair of dice is thrown. What is the probability that one of the faces is a 3, given that the sum of the two faces is 9?

A) 1/3
B) 1/36
C) 1/6
D) 1/2
E) 1/4
Question
A coin is tossed 6 times. What is the probability that at least one head occurs?

A) 63/64
B) 1/64
C) 1/36
D) 5/6
E) 1/2
Question
A card is drawn from a standard deck. Given that a face card is drawn, what is the probability it will be a king?

A) 1/3
B) 1/13
C) 4/13
D) 1/12
E) 1/4
Question
Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that the item from Container 1 is defective and the item from Container 2 is not defective?

A) 0.3846
B) 0.2250
C) 0.3750
D) 0.6154
E) 0.1500
Question
At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. <strong>At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table.   If a student is male, what is the probability he is a C student?</strong> A) 0.05 B) 0.10 C) 0.30 D) 0.17 E) 0.50 <div style=padding-top: 35px> If a student is male, what is the probability he is a C student?

A) 0.05
B) 0.10
C) 0.30
D) 0.17
E) 0.50
Question
What is the probability of winning four games in a row, if the probability of winning each game individually is 1/2?

A) 1/4
B) 1/8
C) 1/2
D) 3/16
E) 1/16
Question
At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. <strong>At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table.   What is the probability that a student is female and a C student?</strong> A) .45 B) .50 C) .70 D) .25 E) .05 <div style=padding-top: 35px> What is the probability that a student is female and a C student?

A) .45
B) .50
C) .70
D) .25
E) .05
Question
Given a standard deck of cards, what is the probability of drawing a face card, given that it is a red card?

A) 0.115
B) 0.500
C) 0.231
D) 0.462
E) 0.308
Question
Given the standard deck of cards, what is the probability of drawing a red card, given that it is a face card?

A) 0.500
B) 0.115
C) 0.231
D) 0.077
E) 0.308
Question
A machine is produced by a sequence of operations. On average, one out of every 1000 machines produced is defective. What is the probability that two machines selected at random are both nondefective?

A) 0.000999
B) 0.001
C) 0.002
D) 0.998
E) 0.500
Question
Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that only one of the items is defective?

A) 0.2250
B) 0.6250
C) 0.2500
D) 0.4750
E) 0.1500
Question
A family has two children. What is the probability that both are girls, given that at least one is a girl?

A) 1/8
B) 1/4
C) 1/2
D) 1/3
E) 1/6
Question
At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Construct a contingency table.
Question
At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. <strong>At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table.   What is the probability that a student is male and not a C student?</strong> A) .45 B) .50 C) .70 D) .25 E) .05 <div style=padding-top: 35px> What is the probability that a student is male and not a C student?

A) .45
B) .50
C) .70
D) .25
E) .05
Question
A person is dealt 5 cards from a deck of 52 cards. What is the probability they are all clubs?

A) 0.2500
B) 0.0962
C) 0.0769
D) 0.0010
E) 0.0005
Question
Independently, a coin is tossed, a card is drawn from a deck, and a die is thrown. What is the probability of observing a head on the coin, an ace on the card, and a five on the die?

A) 0.0064
B) 0.1000
C) 0.7436
D) 0.0096
E) 0.5000
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Deck 4: Probability and Probability Models
1
If events A and B are independent, then P(A|B) is always equal to zero.
False
2
A subjective probability is a probability assessment that is based on experience, intuitive judgment, or expertise.
True
3
Events that have no sample space outcomes in common, and therefore cannot occur simultaneously, are referred to as independent events.
False
4
Bayes' Theorem is always based on two states of nature and three experimental outcomes.
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5
An event is a collection of sample space outcomes.
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6
A probability model is a mathematic representation of a random phenomenon.
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7
Two mutually exclusive events having positive probabilities are ________ dependent.

A) always
B) sometimes
C) never
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8
If events A and B are mutually exclusive, then P(A|B) is always equal to zero.
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9
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
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10
Mutually exclusive events have a nonempty intersection.
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11
In which of the following are the two events A and B always independent?

A) A and B are mutually exclusive.
B) The probability of event A is influenced by the probability of event B.
C) The intersection of A and B is zero.
D) P(A|B) = P(B|A).
E) The probability of event A is not influenced by whether event B occurs, or P(A|B) = P(A).
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12
There are two types of probability distributions: discrete and binomial.
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13
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
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14
The probability of an event is the sum of the probabilities of the sample space outcomes that correspond to the event.
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15
In any probability situation, either an event or its complement must occur.
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16
Two events are independent if the probability of one event is influenced by whether or not the other event occurs.
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17
If events A and B are mutually exclusive, then P(A∩B) is always equal to zero.
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18
A random variable is a numerical value that is determined by the outcome of an experiment.
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19
Bayes' Theorem uses prior probabilities with additional information to compute posterior probabilities.
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20
The method of assigning probabilities when all outcomes are equally likely to occur is called the classical method.
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21
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
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22
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
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23
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
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24
The set of all possible outcomes for an experiment is called a(n) ________.

A) sample space
B) event
C) experiment
D) probability
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25
If two events are independent, we can ________ their probabilities to determine the intersection probability.

A) divide
B) add
C) multiply
D) subtract
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26
A ________ 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
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27
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.
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28
Events that have no sample space outcomes in common, and therefore cannot occur simultaneously, are ________.

A) independent
B) mutually exclusive
C) intersections
D) unions
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29
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
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30
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(AUB)
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31
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(B∪A)
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32
A probability may be interpreted as a long-run ________ frequency.

A) observational
B) relative
C) experimental
D) conditional
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33
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
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34
A(n) ________ is a collection of sample space outcomes.

A) experiment
B) event
C) set
D) probability
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35
A(n) ________ is the set of all of the distinct possible outcomes of an experiment.

A) sample space
B) union
C) intersection
D) observation
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36
P(AUB) = 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
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37
The simultaneous occurrence of events A and B is represented by the notation ________.

A) AUB
B) A|B
C) A∩B
D) B|A
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38
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
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39
A process of observation that has an uncertain outcome is referred to as a(n) ________.

A) probability
B) frequency
C) conditional probability
D) experiment
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40
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
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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
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42
Determine whether these two events are mutually exclusive: someone born in the United States and a U.S. citizen.

A) mutually exclusive
B) not mutually exclusive
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43
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are R and C mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
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44
Determine whether these two events are mutually exclusive: unmarried person and a person with an employed spouse.

A) mutually exclusive
B) not mutually exclusive
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45
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.
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46
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are R and A mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
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47
A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not defective?

A) 0.3333
B) 0.2545
C) 0.5000
D) 0.2963
E) 0.0370
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48
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are A and N mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
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49
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
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50
What is the probability that a king appears in drawing a single card from a deck of 52 cards?

A) 4/13
B) 1/13
C) 1/52
D) 1/12
E) 2/13
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51
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
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52
Determine whether these two events are mutually exclusive: voter who favors gun control and an unregistered voter.

A) mutually exclusive
B) not mutually exclusive
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53
Determine whether these two events are mutually exclusive: consumer with an unlisted phone number and a consumer who does not drive.

A) mutually exclusive
B) not mutually exclusive
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54
Determine whether these two events are mutually exclusive: someone with three sisters and someone with four siblings.

A) mutually exclusive
B) not mutually exclusive
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55
The ________ of two events A and B is the event that consists of the sample space outcomes belonging to both event A and event B.

A) union
B) intersection
C) complement
D) mutual exclusivity
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56
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are D and C mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
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57
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are N and C mutually exclusive?

A) Yes, mutually exclusive.
B) No, not mutually exclusive.
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Unlock Deck
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58
What is the probability that an even number appears on the toss of a die?

A) 0.5
B) 0.33
C) 0.25
D) 0.67
E) 1.00
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59
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
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60
If we consider the toss of four coins as an experiment, how many outcomes does the sample space consist of?

A) 8
B) 4
C) 16
D) 32
E) 2
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61
Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that both items are not defective?

A) 0.3750
B) 0.3846
C) 0.1500
D) 0.6154
E) 0.2000
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62
A machine is made up of 3 components: an upper part, a middle part, and a lower part. The machine is then assembled. 5 percent of the upper parts are defective, 4 percent of the middle parts are defective, and 1 percent of the lower parts are defective. What is the probability that a machine is not defective?

A) 0.1000
B) 0.9029
C) 0.8000
D) 0.0002
E) 0.7209
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63
A card is drawn from a standard deck. What is the probability the card is an ace, given that it is a club?

A) 1/52
B) 1/13
C) 4/13
D) 1/4
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64
A group has 12 men and 4 women. If 3 people are selected at random from the group, what is the probability that they are all men?

A) 0.4219
B) 0.5143
C) 0.3929
D) 0.0156
E) 0.0045
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65
A pair of dice is thrown. What is the probability that one of the faces is a 3, given that the sum of the two faces is 9?

A) 1/3
B) 1/36
C) 1/6
D) 1/2
E) 1/4
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66
A coin is tossed 6 times. What is the probability that at least one head occurs?

A) 63/64
B) 1/64
C) 1/36
D) 5/6
E) 1/2
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67
A card is drawn from a standard deck. Given that a face card is drawn, what is the probability it will be a king?

A) 1/3
B) 1/13
C) 4/13
D) 1/12
E) 1/4
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Unlock Deck
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68
Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that the item from Container 1 is defective and the item from Container 2 is not defective?

A) 0.3846
B) 0.2250
C) 0.3750
D) 0.6154
E) 0.1500
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Unlock Deck
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69
At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. <strong>At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table.   If a student is male, what is the probability he is a C student?</strong> A) 0.05 B) 0.10 C) 0.30 D) 0.17 E) 0.50 If a student is male, what is the probability he is a C student?

A) 0.05
B) 0.10
C) 0.30
D) 0.17
E) 0.50
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70
What is the probability of winning four games in a row, if the probability of winning each game individually is 1/2?

A) 1/4
B) 1/8
C) 1/2
D) 3/16
E) 1/16
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Unlock Deck
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71
At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. <strong>At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table.   What is the probability that a student is female and a C student?</strong> A) .45 B) .50 C) .70 D) .25 E) .05 What is the probability that a student is female and a C student?

A) .45
B) .50
C) .70
D) .25
E) .05
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72
Given a standard deck of cards, what is the probability of drawing a face card, given that it is a red card?

A) 0.115
B) 0.500
C) 0.231
D) 0.462
E) 0.308
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73
Given the standard deck of cards, what is the probability of drawing a red card, given that it is a face card?

A) 0.500
B) 0.115
C) 0.231
D) 0.077
E) 0.308
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Unlock Deck
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74
A machine is produced by a sequence of operations. On average, one out of every 1000 machines produced is defective. What is the probability that two machines selected at random are both nondefective?

A) 0.000999
B) 0.001
C) 0.002
D) 0.998
E) 0.500
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Unlock for access to all 150 flashcards in this deck.
Unlock Deck
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75
Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that only one of the items is defective?

A) 0.2250
B) 0.6250
C) 0.2500
D) 0.4750
E) 0.1500
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76
A family has two children. What is the probability that both are girls, given that at least one is a girl?

A) 1/8
B) 1/4
C) 1/2
D) 1/3
E) 1/6
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77
At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Construct a contingency table.
Unlock Deck
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Unlock Deck
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78
At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table. <strong>At a college, 70 percent of the students are women, and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use this contingency table.   What is the probability that a student is male and not a C student?</strong> A) .45 B) .50 C) .70 D) .25 E) .05 What is the probability that a student is male and not a C student?

A) .45
B) .50
C) .70
D) .25
E) .05
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79
A person is dealt 5 cards from a deck of 52 cards. What is the probability they are all clubs?

A) 0.2500
B) 0.0962
C) 0.0769
D) 0.0010
E) 0.0005
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80
Independently, a coin is tossed, a card is drawn from a deck, and a die is thrown. What is the probability of observing a head on the coin, an ace on the card, and a five on the die?

A) 0.0064
B) 0.1000
C) 0.7436
D) 0.0096
E) 0.5000
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Unlock Deck
Unlock for access to all 150 flashcards in this deck.