A computer intrusion detection system $($IDS$)$ is designed to provide an alarm whenever there is unauthorized access to a computer system. Consider a double IDS system with system A and system B$.$ If there is an intruder, Alarm A sounds an alarm with a probability of $\mathrm{.}91,$ and Alarm B sounds an alarm with a probability of $\mathrm{.}96.$ Round probabilities to four decimal places.