A clerk is maintaining three different files containing job applications submitted for three different positions currently open

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A clerk is maintaining three different files containing job applications submitted for three different positions currently open in the firm at which the clerk is employed. One file contains two completed applications, one file contains one complete and one incomplete application, and the third file contains two incomplete applications. The clerk wishes to examine the files and chooses one of the files at random. She then chooses at random one of the applications contained in the chosen file. If the application chosen is complete, what is the probability that the remaining application in the file is also complete?

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