At a certain car dealership, the \(40\) vehicles equipped with air conditioning represent \(80\%\) of all cars available

At a certain car dealership, the \(40\) vehicles equipped with air conditioning represent \(80\%\) of all cars available for sale. Among all the cars, there are \(15\) convertibles, \(14\) of which are equipped with an air-conditioning system. If a customer is willing to purchase either a convertible or a car equipped with air conditioning, what is the probability that a randomly selected vehicle will fit customer specifications?

A. \(\dfrac{41}{50}\)

B. \(\dfrac9{50}\)

C. \(\dfrac6{50}\)

D. \(\dfrac{21}{25}\)

E. \(\dfrac8{25}\)

Answer: A

Source: Manhattan GMAT