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Mathematics 8 Online
OpenStudy (bloomlocke367):

An airline has 83% of its flights depart on schedule. It has 68% of its flights depart and arrive on schedule. Find the probability that a flight departs on schedule also arrives on schedule.

OpenStudy (anonymous):

options?

OpenStudy (bloomlocke367):

@rational

OpenStudy (bloomlocke367):

Options don't matter...

OpenStudy (rational):

simply take the ratio

OpenStudy (rational):

\[\text{P(arrives | departs)} = \dfrac{\text{P(arrives}\cap \text{departs}}{\text{P(departs)}} = \dfrac{0.68}{0.83} = ?\]

OpenStudy (bloomlocke367):

so .68/.83=0.819277.... ~0.82

OpenStudy (rational):

Yep!

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