An urn contains m balls numbered i to m two balls are drawn, Basic Statistics

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An urn contains m balls numbered i to m two balls are drawn

An urn contains M balls, numbered I to M. Two balls are drawn, 1 after the other, with replacement (without replacement). Consider the 2-tuple valued random phenomenon (x₁, x₂), in which x₁ is the number on the first ball drawn, and x₂ is the number of the second ball drawn. Find the probability mass function of this 2-tuple valued random phenomenon and show that its probability law is discrete.

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Basic Statistics: An urn contains m balls numbered i to m two balls are drawn

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Basic Statistics: An urn contains m balls numbered i to m two balls are drawn

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