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In an office equipped with mechanized administration three machines classify the files. The first can process 10 files per day, the second 15, while the

In an office equipped with mechanized administration three machines classify the files. The first can process 10 files per day, the second 15, while the third 25. The average numbers of misclassified files are 0.3, 0.9 and 0.5 per day, respectively. We choose a file randomly from the daily production and we find that it has been misclassified. What is the probability that the file was processed by the first machine?

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