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 0.76​, the probability that a car brought into the shop requires brake repair is 0.24​, and the probability that a car requires both an oil change and brake repair is 0.18. For a car brought into the​shop, determine the probability that the car will require an oil change or brake repair.

Answer 1

Answer: 0.82

Step-by-step explanation:

Let A denotes the event that the car will require an oil change and B denotes the event that the car require an brake repair.

As per given , we have

P(A)=0.76,    P(B)=0.24    ,   P(A∩B)=0.18

To find : P(A∪B)

Using formula ,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

we have

$P(A\cup B)=0.76+0.24-0.18=0.82$

Hence, the probability that the car will require an oil change or brake repair=0.82