At a particular garage, 60% of the customers require an oil change, 20% require tire rotation, and 75% of customers require at least one of these services. for a randomly selected customer,

a. what is the probability that the customer will need both services?

b. what is the probability that the customer will need an oil change, but not a tire rotation?

c. what is the probability that the customer will want exactly one of these two services?

a. 5%

b. 55%

c. 70%

Step-by-step explanation:

a. The probability of customer wanting both services (P(O&T)) is:

The probability is 5%

b. The probability that the customer will need an oil change, but not a tire rotation (P(O)) is :

The probability is 55%

c. The probability that the customer will want exactly one of these two services (P(O)+P(T)) is:

The probability is 70%

An inverse operation is two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality. This gives us a couple of properties that hold true for all equations.