01:20
Intro Stats / AP Statistics
Drug usage in the workplace costs employers incredible amounts
of money each year. Drug testing potential employees has become so
prevalent that drug users are finding it extremely hard to find
jobs. Drug tests, however, are not completely reliable. The most
common test used to detect drugs is approximately 99% accurate. To
decrease the likelihood of making an error, all potential employees
are screened through two tests, which are independent, and each has
92% accuracy. If a potential employee were drug free, what is the
probability that the person would pass the first test and fail the
second test?