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 sample space for this experiment.
ii) Find the probability that both balls will be of the same color.
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 the three colors are represented, when
i) sampling with replacement
ii) without replacement.