Question

At Sanger’s auto garage, three out of every five cars brought in for service need an oil change. Of the cars that need an oil change, four out of every seven also need a tire rotation. What is the probability that a car that comes into the garage needs both an oil change and a tire rotation? Give the answer in fraction form.

Answer 1

To determine the probability that the car from Sanger's auto garage needs an oil change and also tire rotation, we multiply the probability of the first event and the second event. We get an equation of,
                                     = (3/5) x (4/7) = 12/35
Thus, the probability that the car needs both oil change and tire rotation is 12/35. 

Answer 2

E2020 Answer is 12/35