Step 1 :Given probabilities: P(Rain) = 0.16, P(Delay) = 0.18, P(Not Rain and On Time) = 0.81
Step 2 :Find P(Not Rain): P(Not Rain) = 1 - P(Rain) = 1 - 0.16 = 0.84
Step 3 :Use conditional probability formula: P(On Time | Not Rain) = \(\frac{P(On Time and Not Rain)}{P(Not Rain)}\)
Step 4 :Calculate P(On Time | Not Rain): \(\frac{0.81}{0.84}\) = 0.964
Step 5 :\(\boxed{0.964}\) is the probability that the flight would leave on time when it is not raining.