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Which property may be read off the graph without any numbers?

  • A.Whether two sets are independent given a third
  • B.Whether the network can be decomposed into disconnected parts
  • C.Whether inference in the network is tractable for a given query
  • D.Whether the directions of the edges can be reversed without loss

Answer: A

The criterion reads conditional independence off the graph alone, without touching the numbers, by checking whether every path between the sets is blocked. Decomposition, tractability and edge reversal are separate questions. Because the answer depends only on structure, it holds for every parameterisation of that structure, which is what makes graphical reasoning worth doing before any table is filled in.

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