An airline has 81% of its flights depart on schedule. It has 69% of its flights depart and arrive on schedule. Find the probability that a flight that departs on schedule also arrives on schedule. Round the answer to two decimal places.

Answer 1

To find the probability that a flight that departs on schedule also arrives on schedule, we can use the formula for conditional probability:

\[ P(\text{Arrives on schedule | Departs on schedule}) = \frac{P(\text{Arrives on schedule and Departs on schedule})}{P(\text{Departs on schedule})} \]

Given that 81% of flights depart on schedule and 69% of flights depart and arrive on schedule, we have:

\[ P(\text{Arrives on schedule | Departs on schedule}) = \frac{0.69}{0.81} \approx 0.85 \]

Therefore, the probability that a flight that departs on schedule also arrives on schedule is approximately 0.85 or 85%.