The Department of Homeland Security has just installed a facial recognition system in every major airport in the United States. It is designed to spot known terrorists during the check-in process. It is purported to be able to detect a known terrorist with an accuracy of 0.99999, but it also has a false positive rate of 0.00001. If the government is looking for 10 people involved in a possible terror plot among one billion travelers, what is the probability that any given detection of a terrorist is valid