Problem 1. From a box containing 6 red balls, 4 green balls, 3 black balls, and 2 white balls a
sample of 4 balls is drawn at random. In each of the cases of (a) sampling without replacement
and (b) sampling with replacement, compute the probabilities of the following events:
(i) A="All four balls are of different colors";
(ii) B="There are 2 red balls, 1 green ball, and 1 white ball";
(iii) C="Out of the selected balls, there are no white balls".
(iv) D = "There are at least two white balls".