A clerk was asked to mail three reports to three students . He addresses three envelopes but unfortunately paid no attention to which report card be put in which envelope . what is the probability that exactly one of the students received his or her own card ?

Dear Student,
Please find below the solution to the asked query:

We have3 reports and 3 envelopesTotal arrangement=3!=6Nowwe choose 1 report from 3 reports and put it in correct envelope and whileremaining two go in incorrect envelope.Note that after selecting the card which goes in correct envelope, we haveonly have 1 way.Number of ways=3C1×1=3Required Probability=36=12

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