What is the probability that a speeding person was detected


Police plan to enforce speed limits near the local elementary school by using radar traps at two different locations near the school. The radar traps at locations 1 and 2 are operated 40 and 50 percent of the time. A speeding person has a 65 percent chance of driving by radar trap location 1 and a 35 percent chance of driving by radar trap location 2. The radar trap detects all speeders when it is operational and none when it is not.

What is the probability that a speeding person was detected by radar trap 2?

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