(solution) One urn contains three red balls, two white balls, and one blue ball. A second urn contains one…

(solution) One urn contains three red balls, two white balls, and one blue ball. A second urn contains one…

One urn contains three red balls, two white balls, and one blue ball. A second urn contains one red ball, two white balls, and three blue balls. (a) One ball is selected at random from each urn. (i) Describe a sample space for this experiment. (ii) Find the probability that both balls will be of the same color. (iii) Is the probability that both balls will be red greater than the probability that both will be white? (b) The balls in the two urns are mixed together in a single urn, and then a sample of three is drawn. Find the probability that all three colors are represented, when (i) sampling with replacement and (ii) without replacement.