Answer to Question #6934 in Statistics and Probability for Jonhnelle D. Fagut

Question

One box contains 3 red balls, white balls, and one blue ball. A second box contains one red ball, 2 white balls, and 3 blue balls.
a. If one ball is selected at random from each box. Find the probability that the balls will be of the same color.
b. If the balls in the two boxes are mixed together in a single box and then a sample of 3 is drawn. Find the probability that all 3 colors are represented both when sampling with replacement and when sampling without replacement.