A new, simple test has been developed to detect a particular type of cancer. Each of the 2,000 adults and finds (by other means) that 3% 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 98% of those who had it and 1% of those who do not.
What is the probability of a person having cancer given that the test does not indicate cancer?