# If two athletes are randomly selected, what is the probability that one of them tests pos?

**Question description**

It is known from past experience that about 16% of high school student athletes in a large school district have taken a banned substance. The drug test used by this district has a False positive rate of 5% and a False negative rate of 10%.

Q:If two athletes are randomly selected, what is the probability that at least one of them tests positive?

## Tutor Answer

## Review from our student for this Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors