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Multiple Choice QuestionWhat do we refer to events which include all outcomes in the sample space?Multiple choice question.InclusiveSimpleMutually exclusiveExhaustive

Question

Multiple Choice QuestionWhat do we refer to events which include all outcomes in the sample space?Multiple choice question.InclusiveSimpleMutually exclusiveExhaustive

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Solution

We refer to events which include all outcomes in the sample space as "Exhaustive".

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Recall the couple that is planning to have 3 children, where the sample space S of all possible outcomes is:S={BBB, BBG, BGB, GBB, GGB, GBG, BGG, GGG}Consider the following two events:A—the middle child is a girlC—the three children are of the same genderIn the box below, answer the following:i. What are the possible outcomes for each of these events?ii. Do the events share any of the outcomes? (i.e., is there an overlap between the two events?)iii. Based on ii, are the events disjoint or not?

For P(A or B), "or" is inclusive, it it includes the possibility that both event A and event B happen.

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