Bag A contains 5 white balls and 2 green balls. Bag B contains 3 white balls and 4 green
balls. A fair die is rolled and if a 1 or a 2 comes up, a ball is randomly selected from Bag A;
however, if a 3, 4, 5 or 6 comes up, a ball is randomly selected from Bag B.
a) What is the probability of...