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Please provide the function as well. Urn A contains three balls labeled from 1 to 3...

Please provide the function as well.

Urn A contains three balls labeled from 1 to 3 and urn B contains 2 balls labeled from 1 to 2. A ball is randomly selected from urn A and another ball is randomly selected from urn B. Find the joint probability mass function of X and Y when (a) X is the largest value obtained on the selected balls and Y is the sum of the values; (b) X is the value on the ball from urn A and Y is the larger of the two values; (c) X is the smallest and Y is the largest value obtained on the balls.

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