BNAD 277 Ch 4 Prep Questions - Fundamental Probability Concepts

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Ch04 - Ch 4 Prep Questions - Fundamental Probability
Concepts
Analytical Methods for Business (University of Arizona)
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ch04
Student:
1. For an experiment in which a single die is rolled, the sample space may be [1, 1, 2, 3, 4, 5}.
True False

2. The probability of a union of events can be greater than
1. True False

3. Events are exhaustive if they do not share common outcomes of a sample space.
True False

4. Mutually exclusive events may share common outcomes of a sample space.
True False

5. Mutually exclusive and collectively exhaustive events contain all outcomes of a sample space, and they
do not share any common outcomes.
True False

6. The union of two events A and B, denoted by
, does not have outcomes from both A and B.
True False
7. The complement of an event A, denoted by A , within the sample space S, is the event consisting of
all outcomes of A that are not in S.
True False

8. The intersection of two events A and B, denoted by A ∩ B, is the event consisting of all outcomes that
are in A and B.
True False

9. Subjective probability is assigned to an event by drawing on logical analysis.
True False

10. For two independent events A and B, the probability of their intersection is
zero. True False

11. The total probability rule is useful only when the unconditional probability is expressed in terms of
probabilities conditional on two mutually exclusive and exhaustive events.
True False

12. Bayes' theorem uses the total probability rule to update the prior probability of an event that has not been
affected by any new evidence.
True False

13. Bayes' theorem is used to update prior probabilities based on the arrival of new relevant information.
True False

14. Combinations are used when the order in which different objects are arranged matters.
True False

15. Permutations are used when the order in which different objects are arranged matters.
True False

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16. What is probability?
A. Any value between 0 and 1 is always treated as a probability of an event.
B. A numerical value assigned to an event that measures the number of its occurrences.
C. A value between 0 and 1 assigned to an event that measures the likelihood of its occurrence.
D. A value between 0 and 1 assigned to an event that measures the unlikelihood of its occurrence.

17. For an experiment in which a single die is rolled, the sample space is
A. [1, 1, 3, 4, 5, 6}
B. [2, 1, 3, 6, 5, 4}
C. [1, 2, 3, 4, 4, 5}
D. All of the above

18. A sample space contains
A. Outcomes of the relevant events
B. Several outcomes of an experiment
C. All possible outcomes of an experiment
D. One of several outcomes of an experiment

19. What is a simple event?
A. An event that contains all outcomes of a sample space
B. An event that contains several outcomes of a sample space
C. An event that contains only one outcome of a sample space
D. All of the above

20. Which of the following is not an event when considering the sample space of tossing two coins?
A. [HH, HT}
B. [HH, TT, HT}
C. [HH, TT, HTH}
D. [HH, HT, TH, TT}

21. Events are collectively exhaustive if
A. They include all events
B. They are included in all events
C. They contain all outcomes of an experiment
D. They do not share any common outcomes of an experiment

22. Mutually exclusive events
A. Contain all possible outcomes
B. May share common outcomes
C. Do not share common outcomes
D. Do not contain all possible outcomes

23. Which of the following are mutually exclusive events of an experiment in which two coins are tossed? A. [TT, HH} and [TT}
B. [HT, TH} and [TH}
C. [TT, HT} and (HT}
D. (TT, HH} and [TH}

24. In an experiment in which a coin is tossed twice, which of the following represents mutually exclusive
and collectively exhaustive events?
A. [TT, HH} and [TT, HT}
B. [HT, TH} and [HH, TH}
C. [TT, HH} and [TH, HT}
D. [TT, HT} and [HT, TH}