Exercise 6| Conditional Probability| Worked Example

Check out the 6th example on conditional probability and walk through the solution with me. 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: (a) arrives on time given that it departed on time. (b) departed on time given that it has arrived on time. (c) arrives on time, given that it did not depart on time. (d) departed late, given that it arrives on time. (e) arrives late, given that it departed late.