QI Bag A contains 8 red, 4 green and 3 white marbles and Bag B contains 7 red, 5 green and 3 white. Bag C contains 6 red, 4 green and 5 white. a) If three marbles are drawn from Bag A at random without replacement, find the probability that (i) marbles drawn are of different colors. (i) none of the marbles is green. (iii) at least one of the marble is green. b) If one of the three bags is selected at random and a marble is drawn at random, find the probability that the marble is drawn from Bag B given that the selected marble is green.