Question: 5.2 A nuclear physics experiment is running. It requires 50 independent counters sensitive to ionizing radiation. The counters are checked between data runs and are
5.2 A nuclear physics experiment is running. It requires 50 independent counters sensitive to ionizing radiation. The counters are checked between data runs and are observed to have a 1% chance of failure between checks (i.e., p = 0.01 for failure). What is the probability that all the counters were operative throughout a data run? Suppose that a data run is salvageable if one counter fails, but is not useful if two or more counters fail. What is the probability that the data run is spoiled by counter failure?
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