Dancing and singing. Suppose that 70% of college students like to dance, 40% like to sing, and 30% like to dance and sing. Find the probabilities of the following events:
(a) like to dance and don't like to sing
(b) don't like to dance and like to sing
(c) don't like to dance and don't like to sing
(d) for each of parts (a), (b), and (c), state the rule that you used to find your answer.