Question

At LaGuardia Airport for a certain nightly flight, the probabilitythat it will rain is 0.18 and the probability that the flight will bedelayed is 0.07. The probability that it will rain and the flight willbe delayed is 0.05. What is the probability that the flight wouldbe delayed when it is raining? Round your answer to the nearestthousandth.

Answer 1

To solve this question we will use the following formula for conditional probability:

`P(A|B)=(P(A\cap B))/(P(B))\text{.}`

Therefore:

`P(\text{flight delayed when rain)=}\frac{P(flight\text{ delayed and rain)}}{P(rain)}.`

Substituting the given data we get:

`\begin{gathered} P(\text{flight delayed when rain)=}(0.05)/(0.18) \\ \approx0.278. \end{gathered}`

Answer: 0.278.