(a) The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it needs a new oil filter is 0.45; and the probability that both the oil and filter need changing is 0.25.
(i) If the oil had to be changed, what is the probability that a new oil filter is needed ?
(ii) If a new oil filter is needed, what is the probability that the oil has to be changed ?
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