question archive Suppose you have three events - X, Y, and Z - where X and Y are mutually exclusive, and together X, Y, and Z are collectively exhaustive

Suppose you have three events - X, Y, and Z - where X and Y are mutually exclusive, and together X, Y, and Z are collectively exhaustive

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Suppose you have three events - X, Y, and Z - where X and Y are mutually exclusive, and together X, Y, and Z are collectively exhaustive. Z is not mutually exclusive with respect to either X or Y. Is this possible? If so, draw a Venn Diagram illustrating how it might be possible.

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