A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is $0\mathrm{.}03.$ At the checkpoint, the security system denied a person

without security problems $1\mathrm{.}5\%$ of the time. Also the security system passed a person with security problems $1\%$ of the time. What is the probability that a person who passed

through the system is without any security problems? Report answer to $4$ decimal places.

Type your answer...