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Statistics / Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card 8 / Chapter 4 / Problem 4.20

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card | 8th Edition | ISBN: 9781464158933 | Authors: David S. Moore, George P. McCabe, Bruce A. Craig

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Probability rules. For each of the following situations,

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QUESTION:

Probability rules. For each of the following situations, state the probability rule or rules that you would use and apply it or them. Write a sentence explaining how the situation illustrates the use of the probability rules. (a) The probability of event A is 0.224. What is the probability that event A does not occur? (b) A coin is tossed three times. The probability of zero heads is 1/8 and the probability of zero tails is 1/8. What is the probability that all three tosses result in the same outcome? (c) Refer to part (b). What is the probability that there is at least one head and at least one tail? (d) The probability of event A is 0.5 and the probability of event B is 0.6. Events A and B are disjoint. Can this happen? (e) Event A is very rare. Its probability is 0.01. Can this happen?

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QUESTION:

Probability rules. For each of the following situations, state the probability rule or rules that you would use and apply it or them. Write a sentence explaining how the situation illustrates the use of the probability rules. (a) The probability of event A is 0.224. What is the probability that event A does not occur? (b) A coin is tossed three times. The probability of zero heads is 1/8 and the probability of zero tails is 1/8. What is the probability that all three tosses result in the same outcome? (c) Refer to part (b). What is the probability that there is at least one head and at least one tail? (d) The probability of event A is 0.5 and the probability of event B is 0.6. Events A and B are disjoint. Can this happen? (e) Event A is very rare. Its probability is 0.01. Can this happen?

ANSWER:

Step 1 of 5

(a)

The totality of events that does not occur is the complement of . In this rule, the totality of probabilities of all possible outcomes which is 1 will be subtracted by the probability of event . The outcome will be the probability that event does not occur.

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