Week 3: Quiz 4
Probability Questions
Question 1
If the outcome of event A is not affected by event B, then events A and B are said to be:
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a. Mutually exclusive
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b. Independent
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c. Collectively exhaustive
Question 2
If event A and event B cannot occur at the same time, then events A and B are said to be:
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a. Independent
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b. Collectively exhaustive
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c. Mutually exclusive
Question 3
All the events in the sample space that are not part of a specified event are called:
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a. Simple event
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b. Joint event
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c. The complement of the event
Question 4
The collection of all possible outcomes is called:
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a. A sample space
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b. A simple probability
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c. A marginal probability
Question 5
When using the general multiplication rule, P(A and B)P(A \text{ and } B) is equal to:
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a. P(A∣B)P(B)P(A|B)P(B)
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b. P(B)P(A)\frac{P(B)}{P(A)}
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c. P(A)P(B)\frac{P(A)}{P(B)}
Question 6
A business venture can result in the following outcomes:
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Highly Successful (10%)
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Successful (25%)
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Break Even (25%)
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Disappointing (20%)
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Highly Disappointing (?)
If these are the only possible outcomes, what is the probability that the business venture will be highly disappointing?
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a. 25%
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b. 15%
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c. 20%
Question 7
In a company of 600 employees:
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400 have college degrees
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100 are single
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60 are single college graduates
What is the probability that an employee is single or has a college degree?
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a. 0.533
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b. 0.667
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c. 0.733
Question 8
Using the same data as Question 7, what is the probability that an employee is married and has a college degree?
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a. 0.567
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b. 0.667
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c. 0.733
Question 9
If P(A)=0.7P(A) = 0.7, P(B)=0.6P(B) = 0.6, and A and B are independent, what is P(A and B)P(A \text{ and } B)?
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a. 0.13
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b. 0.10
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c. 0.42
Tutorial for Quiz 4
