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In a social network of 5 connected individuals, what is the probability that a randomly selected trio consists of exactly 2 individuals who share a close relationship and 1 who does not, given that exactly 3 pairs in the network are classified as "close"?
We are given a network of 5 individuals with exactly 3 "close" pairs among the \( inom{5}{2} = 10 \) total pairs. We are to compute the probability that a randomly selected trio (unordered group of 3) includes exactly 2 close pairs and 1 non-close pair.

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