There are three types of balls in a box: 5 red, 3 blue and 2 green....

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There are three types of balls in a box: 5 red, 3 blue and 2green. You draw 3 balls at once (without replacement) from this boxand record: Y1=the # of red balls, Y2=the # of blue balls that youdrew. Find the joint probability distribution of Y1, Y2, by firstwriting the possible values for y1, y2 in rows and columns and thenfilling in the probabilities within this table. Then check that thesum of the entries in the table equals 1.

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