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.

Hello!

To find the answer, we will multiply the probabilities of both cars needing oil change, and tire rotation and oil change.

3/5 need an oil change.4/7 of the 3/5 need the tire rotation. We multiply these two numbers giving us 12/35, which is our answer.

There is a 12/35 chance that a car the comes in will both an oil change and a tire rotation.

Hope this helped!