The probability that an automobile being filled with gasoline also needs an oil change is 0.30; the probability that it needs a new oil filter is 0.45; and the probability that both the oil and the filter need changing is 0.12. (a) If the oil has to be changed, what is the probability that a new oil filter is needed? (b) If a new oil filter is needed, what is the probability that the oil has to be changed? (a) The probability that a new oil filter is needed is (Round to three decimal places as needed.) (b) The probability that the oil needs to be changed is (Round to three decimal places as needed.)

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