At the college enquiry counter, each enquiry received is handled by Adam, Billy or Cathy. The probabilities of them handling with an enquiry are 0.2, 0.3 and 0.5 respectively. . 0f enquires handled by Adam, 60% are answered immediately, 25% are answered later the same day and the remainder are answered at a later date. . Of enquires handled by Billy, T5943 are answered immediately, 15% are answered later the same day and the remainder are answered at a later date. . 0f enquires handled by Cathy, 90% are answered immediately and the remainder are answered at a later date. Find the probability that an enquiry (a) is handled by Cathy and answered immediately; (b) is answered immediately; (c) is handled by Adam, given that it is answered later the same day