A? new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 1 comma 1,000 adults and finds? (by other? means) that 1?% have this type of cancer. Each of the 1 comma 1,000 adults is given the? test, and it is found that the test indicates cancer in 97?% of those who have it and in 2?% of those who do not. Based on these? results, what is the probability of a randomly chosen person having cancer given that the test indicates? cancer? Of a person having cancer given that the test does not indicate? cancer?