The probability that a regularly scheduled flight departs on time is P ( D ) = 0.83; the probability that it arrives on time is P ( A ) = 0.82 ; and the probability that it departs and arrives on time is P ( D A) = 0.78. Find the probability that a plane (1) arrives on time given that it departed on time, and (2) departed on time given that it has arrived on time. ( 3) arrives on time given that the flight did not depart on time.