Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose tha
t for the population of adults that is taking the test, 5% have tuberculosis. The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. Suppose that POS stands for the test gives a positive result and S means that the adult really has tuberculosis. Represent the "74.6%" using notation. O P(S)
O P(S and POS)
O P(POS)
O P(POS I S)
Gabriel would then need to ask to see their ID's. If he suspects they are using false ID's then he would need to confiscate them and call the police. If the two minors have no ID then he needs to have them escorted off the property or tell them to leave.