Question

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is

0.07 and the probability that the flight will be delayed is o.15. The probability that it
will rain and the flight will be delayed is 0.04. What is the probability that the flight
would be delayed when it is raining? Round your answer to the nearest thousandth.

Answer 1

The probability that the flight would be delayed when it is raining is 0.571

Explanation:

Here, we want to find the probability that given that it is raining, what is the probability that the flight will be delayed

Let A be the event that flight will be delayed

P(A) = 0.15

Let B be the event that it will rain

P(B) = 0.07

P(A n B) = 0.04

Thus;

P(A|B) = P(A n B)/P(B) = 0.04/0.07 = 0.571