22. Drug Testing In testing prospective employees for drug use, companies need to remember that the tests are not 100% reliable. Suppose a company uses a test that is 98% accurate—that is, it correctly identifies a person as a drug user or nonuser with probability .98—and to reduce the chance of error, each job applicant must take two tests. Assume that the outcomes of the two tests on the same person are independent events, and find the following probabilities:

a. A nonuser fails both tests.

b. A drug user is detected (i.e., he or she fails at least one test).

c. A drug user passes both tests.