2 sets of alarm to work independently (A and B). If theres intruder problems of sound is .9 and B of trouble?

ringing is .95. If theres no intruder A similar problem is .2 (false alarm) and similar problems B is .1. If there is an intruder, what is the probability of at least one of alarms sound?

The problems of false alarms is irrelevant here within we are told that there is an intruder. Since you want to find "at least" an alarm ringing, not find the problem and take the snap ring. The problem here is not 0.1 * 0.05 = 0,005. Then the problem of successful alarm is 99.5%, which notice is better than either of them independently, which tells us that probably not the correct calculation.

Beethoven being very persistant on his “alarm system” sound

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