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Give an example of two discrete random variables x and y on

Question: Give an example of two discrete random variables X and Y on the same sample space such that X and Y have the same distribution, with support {1, 2,..., 10}, but the event X = Y never occurs. If X and Y are independent, is it still possible to construct such an example?

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Basic Statistics: Give an example of two discrete random variables x and y on

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