. Consider an urn with 3 red balls, 2 blue balls, and 7 black balls. Three balls are selected at random with replacement, i.e. each time a ball is selected it is returned to the urn. (a) What is the probability of selecting one red and two black balls? (b) What is the probability of selecting exactly two black balls? (0) What is the probability of selecting exactly two balls of the same color? The following questions are optional and nngmded: Four balls are selected at random without replacement, i.e. each time a ball is selected it is removed from the urn. (d) What is the probability of selecting two red and two blue balls? (6) What is the probability of selecting exactly two red and at least one blue ball? (f) What is the probability of getting the rst red ball at the third draw