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Assertion (A): Bayesian networks make inference over many variables feasible.

Reason (R): Conditional independence lets a joint distribution factorise into small local tables.

Select the correct answer from the options below.

  • A.A is false but R is true
  • B.Both A and R are true, and R is the correct explanation of A
  • C.Both A and R are true, but R is not the correct explanation of A
  • D.A is true but R is false

Answer: B

Both are true and the second is the reason. A joint over twenty binary variables needs a million numbers, while a sparse network needs a few dozen, and the reduction comes entirely from the conditional independences the structure asserts. Inference remains hard in the worst case, so representation and computation must be considered separately. That a structural assumption converts an impossible representation into a routine one is the central result of the topic.

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