Smoking increases the risk of lung problems. A study revealed that $170$ in $1000$ males who smoke develop lung complications, while $120$ out of $1000$ females who smoke develop lung related problems. In a colony, $50$ people were found to be smokers of which $30$ are males. A person is selected at random from these $50$ people and tested for lung related problems. Based on the given information, answer the following questions : (i) What is the probability that selected person is a female ? (ii) If a male person is selected, what is the probability that he will not be suffering from lung problems ? (iii) (a) A person selected at random is detected with lung complications. Find the probability that selected person is a female. OR (iii) (b) A person selected at random is not having lung problems, find the probability that the person is a male.