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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 2,000 adults and finds (by other means) that 2% have this type of cancer, Each of the 2,000 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? Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? (Round to three decimal places as needed.) What is the probability of a person having cancer given that the test does not indicate cancer? Round to six decimal places as needed.)