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Can anybody help me with this question?

If a trigger requires hits in some minimum number of layers when the whole setup com prises 12 detectors layers, what is the fraction of events that are recorded (as a function of this minimum number)?

These detectors typically have an efficiency of 90% to generate a hit when a particle passes through it. If you want to record the particle information at least half of the time, what should/could your trigger requirement be?

The search for this new particle requires the detection of two particles. How should you re-define your trigger to make sure you detect at least 50% of those?

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