Answer:
The probability that a car that comes into the garage needs both an oil change and a tire rotation is .
Step-by-step explanation:
The conditional probability of an event <em>B</em> given that another event <em>A</em> has already occurred is:
Denote the events as follows:
<em>X</em> = cars brought in for service need an oil change
<em>Y</em> = cars brought in for service need a tire rotation
The information provided is:
Compute the value of P (X ∩ Y) as follows:
Thus, the probability that a car that comes into the garage needs both an oil change and a tire rotation is .