# Smoke detector and probability of using it

In a certain town 63% of the houses have smoke detectors. The fire brigade estimates that people die 24% of the time when the fire is in a house without a smoke detector, but only 13% of the time when there is a smoke detector. In addition 31% of callouts are false alarms that do not involve a fire. What is the probability that if the fire brigade has a callout then they will be fighting a fire in which someone will die?

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The probability that if the fire brigade has a callout then they will be fighting a fire in which someone will die is the sum of both when there ...

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