High School

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------------------------------------------------ The manager at the local auto shop has found that:

- The probability that a car requires an oil change is 0.68.
- The probability that a car requires brake repair is 0.32.
- The probability that a car requires both an oil change and brake repair is 0.11.

Determine the probability that a car will require an oil change or brake repair.

The probability that the car requires an oil change or brake repair is:

Answer :

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

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