Let A and B be any two events, each with a positive probability of occurring. Consider: I. If A and B are independent, they must be mutually exclusive. II. If A and B are mutually exclusive, they must be independent. III. If A and B are independent, they cannot be mutually exclusive. IV. If A and B are mutually exclusive, they cannot be independent. Which of the above statements are true?
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Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
This question is on Independence, part of Probability and Bayes' theorem in Statistics.
When one event tells you nothing about another, and how it differs from being mutually exclusive.
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Question from the DSE 2008 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.