Given that the probability that A occurs is .3, the probability that B does not occur is

Question:

Given that the probability that A occurs is .3, the probability that B does not occur is .6, and the probability that either A or B occurs is .5, find:
(a) The probability that A does not occur.
(b) The probability that both A and B occur.
(c) The probability that A occurs and B does not occur.