Question: The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, but one

The security system in a house has two units that set\ off an alarm when motion is detected. Neither one\ is entirely reliable, but one or both always go off\ when there is motion anywhere in the house.\ Suppose that for motion in a certain location, the\ probability that detector A goes off and detector B\ does not go off is 0.25, and the probability that A\ does not go off is 0.35. What is the probability that\ B goes off?

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