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A house has two alarm systems which operate independently of one another. If no robber is present, then the first system will sound 20% of

A house has two alarm systems which operate independently of one another. If no robber is present, then the first system will sound 20% of the time, while the second system will sound 10% of the time. One evening, there is a 40% probability that a robber will strike this house. If both alarm systems are triggered, then what is the probability that the robber is indeed present?





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