Chapter 3, Problem 3.127ACI

Detecting traces of TNT. University of Florida researchers in the Department of Materials Science and Engineering have invented a technique to rapidly detect traces of TNT ( Today, Spring 2005). The method, which involves shining a laser light on a potentially contaminated object, provides instantaneous results and gives no false positives. In this application, a false positive would occur if the laser light detects traces of TNT when, in fact, no TNT is actually present on the object. Let A be the event that the laser light detects traces of TNT. Let 8 be the event that the object contains no traces of TNT. The probability of a false positive is 0. Write this probability in terms of A and 8 using symbols such as ∪, ∩, and |·