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 1000 adults and finds​ (by other​ means) that ​3% have this type of cancer. Each of the 1000 adults is given the​ test, and it is found that the test indicates cancer in 99​% 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?