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Cintas has installed three smoke detectors in its stockroom. The installer asserts that each detector is 90% likely to detect a fire within 30 seconds

Cintas 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?

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.27

.99

.10

.30

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