Question

Asked Jun 25, 2019

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An office has three smoke detectors. In case of fire, each detector has probability 0.9 of detecting it. If a fire occurs, what is the probability that at least one detector detects it?

Step 1

**Probability of at least one event occurring:**

It is given that there are three smoke detectors and each detector has 0.9 probability of detecting fire.

The formula for the probability of at least one event occur is as follows.

Step 2

**Computation of probability that at least one detector detects fire:**

The probability for each detector not detecting the fire is 1 – ...

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