Question 3 A. A plane owned by Fiji Link ATR72 has three enginesa central engine and an engine on each wing. The plane will crash because it were within the occasion that the central engine fails and one of the two wing engines fails. The probability of disillusionment in the midst of any given flight is 0.004 for the central engine and 0.007 for each of the wing engines. Anticipating that the three engines work independently, what is the probability that the plane will crash in the midst of a flight? B. Jackson and Alice work at a firm's office as the boss and secretary, respectively. The probability that Jackson is in the office at any given time during business hours is 0.72, while the probability that Alice is in the office is 0.4. Given that Alice is in the office, the probability of Jackson being there is 0.66. Determine the probability that at any given time during office hours, i. Both Jackson and Alice are in the office. ii. Alice is the office given that Jackson is in the office. iii. At least one of them is in the office.