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?