The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.61, the probability that a car brought into the shop requires brake repair is 0.39, and the probability that a car requires both an oil change and brake repair is 0.12. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair.
Accepted Solution
A:
Answer:0.88Step-by-step explanation:Let A be the event that a car brought into the shop requires an oil changeand B that a car brought into the shop requires brake repair Given that[tex]P(A) = 0.61\\P(B)=0.39\\P(AB) = 0.12[/tex]Here AB denotes both A and Brequired probability = the probability that the car will require an oil change or brake repair=P(AUB)=P(A)+P(B)-P(AB)=0.61+0.39-0.12=0.88Answer is 0,88 got by using addition theory of probability