Gomez Office Supply Has Installed Three Smoke Detectors in Its

Multiple Choice

Gomez Office Supply has installed three smoke detectors in its stockroom.The installer asserts that each detector is 90% likely to detect a fire within 30 seconds of ignition.Assuming the three detectors function independently, how likely is it that a fire will be detected within 30 seconds?

A) .100
B) .001
C) .300
D) .999
E) .270