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the manager at the local auto shop has found that the probability that …

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 0.71, the probability that a car brought into the shop requires brake repair is 0.29, 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.

the probability that the car requires an oil change or brake repair is .
(type an integer or a decimal.)

Explanation:

Define the given probabilities

Using the Addition Rule for Probability knowledge point

$$ LATEXBLOCK0 $$

Calculate the union probability

Using the Addition Rule for Probability knowledge point

$$ LATEXBLOCK1 $$

Answer:

The probability that the car requires an oil change or brake repair is <blank>0.88</blank>.