Question: Suppose that initially the urn contains one red and two green balls. We draw a ball and return it to the urn, adding three red,

Suppose that initially the urn contains one red and two green balls. We draw a ball and return it to the urn, adding three red, one green, and two blue balls if a red ball was drawn, and three green and one blue ball if a green ball was drawn. Then a ball is drawn from the urn. Find the probability that both selected balls are: (i) Blue. (ii) Red.

(iii) Green. (iv) Of the same color.

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