a) Are these two events mutually exclusive? Why or why not? O A. The events are not mutually exclusive. The event of rolling a total of nine cannot occur at the same time as rolling a pair during the experiment. O B. The events are not mutually exclusive. The event of rolling a total of nine can occur at the same time as rolling a pair during the experiment. OC. The events are mutually exclusive. The event of rolling a total of nine can occur at the same time as rolling a pair during the experiment. OD. The events are mutually exclusive. The event of rolling a total of nine cannot occur at the same time as rolling a pair during the experiment. b) Are these two events independent? Why or why not? OA. The events are independent. If a total of nine is rolled then the probability of both dice being a pair does not change. OB. The events are dependent. If a total of nine is rolled then the probability of both dice being a pair equal zero. OC. The events are dependent. If a total of nine is rolled then the probability of both dice being a pair does not change. OD. The events are independent. If a total of nine is rolled then the probability of both dice being a pair equal

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...
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a) Are these two events mutually exclusive? Why or why not?
QA. The events are not mutually exclusive. The event of rolling a total of nine cannot occur at the same time
as rolling a pair during the experiment.
OB. The events are not mutually exclusive. The event of rolling a total of nine can occur at the same time as
rolling a pair during the experiment.
OC. The events are mutually exclusive. The event of rolling a total of nine can occur at the same time as
rolling a pair during the experiment.
OD. The events are mutually exclusive. The event of rolling a total of nine cannot occur at the same time as
rolling a pair during the experiment.
b) Are these two events independent? Why or why not?
OA. The events are independent. If a total of nine is rolled then the probability of both dice being a pair does
not change.
B. The events are dependent. If a total of nine is rolled then the probability of both dice being a pair equal
zero
OC. The events are dependent. If a total of nine is rolled then the probability of both dice being a pair does
not change.
OD. The events are independent. If a total of nine is rolled then the probability of both dice being a pair equal
Transcribed Image Text:a) Are these two events mutually exclusive? Why or why not? QA. The events are not mutually exclusive. The event of rolling a total of nine cannot occur at the same time as rolling a pair during the experiment. OB. The events are not mutually exclusive. The event of rolling a total of nine can occur at the same time as rolling a pair during the experiment. OC. The events are mutually exclusive. The event of rolling a total of nine can occur at the same time as rolling a pair during the experiment. OD. The events are mutually exclusive. The event of rolling a total of nine cannot occur at the same time as rolling a pair during the experiment. b) Are these two events independent? Why or why not? OA. The events are independent. If a total of nine is rolled then the probability of both dice being a pair does not change. B. The events are dependent. If a total of nine is rolled then the probability of both dice being a pair equal zero OC. The events are dependent. If a total of nine is rolled then the probability of both dice being a pair does not change. OD. The events are independent. If a total of nine is rolled then the probability of both dice being a pair equal
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