Question

a smoke-detector system consists of two parts a and b. if smoke occurs then item a detects it with probability 0.95, item b detects it with probability 0.98 whereas both of them detect it with probability 0.94. what is the probability that the smoke will not be detected?

Answer 1

The probability that the smoke will undetected is 3/1000.

What is probability?

The quality or state of being probable; the likelihood that something will occur or occur as expected.

∵ Only: (1-0.95)*0.90

Neither: (1-0.95)*(1-0.90)

∴ 3/1000

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