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Statistics: Examples of mutually exclusive events and exhaustive events

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Give an example of three events that would be mutually exclusive. Are these events also exhaustive? Then, give an example of three events that would be exhaustive. Are these exhaustive events also mutually exclusive? Fully explain your response.

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An example of three events that are mutually exclusive would be rolling either a 1, a 2 or a 3 on a six-sided dice. Clearly, when we roll one die, it's not possible to get, say, a 1 and a 2 at the same time. Thus these events are mutually ...

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