Question

the probability that an international flight leaving the united states is delayed in departing (event d) is .36. the probability that an international flight leaving the united states is a transpacific flight (event p) is .25. the probability that an international flight leaving the u.s. is a transpacific and is delayed in departing is .09. What is the probability that an international flight leaving the United States is delayed given that the flight is a transpacific flight?

Answer 1

`\large\boxed{\large\boxed{0.36}}`

Step-by-step explanation:

This is a typical problem of conditional probability.

In this case you know:

• the probability of the event D (an international flight leaving the U.S. is delayed in departing), which is 0.36 and you can write as P(D) = 0.36

• the probability of event P (an international flight leaving the U.S. is a transpacific flight), which is 0.25 and you can write as P(P) = 0.25;

• the joint probability of event P and D (international flight leaving the U.S. is a transpacific and is delayed in departing), which is 0.09 and you can write as P (P ∩ D) = 0.09.

You need to determine the probability that an international flight leaving the United States is delayed given that the flight is a transpacific flight, i.e. the conditional probability P (D/P).

Hence, use the formula for conditional probability:

• P (D/P) = P (D ∩ P) / P(D) = P (P ∩ D) / P (D)

• P (D/P) = 0.09 / 0.25 = 0.36