A biometric security device using fingerprints erroneously refuses to admit 2 in 1,900 authorized persons from a facility containing classified information. The device will erroneously admit 1 in 1,019,000 unauthorized persons. Assume that 95 percent of those who seek access are authorized. If the alarm goes off and a person is refused admission
What is the probability that the person was really authorized? (Round your answer to 4 decimal places.)