Question

The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.68, the probability that a car brought into the shop requires brake repair is 0.32, and the probability that a car requiresboth anoil change and brake repair is 0.11. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair.The probability that the car requires an oil change or brake repair is

Answer 1

Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

The answer is 0.89