GATE DA 2025 Set 1 — Question 26

MSQ+1 / -0MediumVariable EliminationUncertaintyArtificial IntelligenceApproximate InferenceSampling-Based Inference

Artificial Intelligence → Uncertainty → Approximate Inference

Last updated 5 September 2026

Question

Which of the following statements is/are correct in a Bayesian network?

Correct answer (C) Variable elimination is used to determine conditional probabilities; (D) Rejection sampling is an approximate inference algorithm Solution Statement (A) is incorrect: Variable elimination is an exact inference algorithm. Statement (B) is incorrect: Gibbs sampling is a Markov Chain Monte Carlo (MCMC) algorithm, which is an approximate inference method. Statement (C) is correct: Variable elimination is an exact method used to compute marginal and conditional probabilities. Statement (D) is correct: Rejection sampling is a sampling-based approximate inference algorithm. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (C) Variable elimination is used to determine conditional probabilities; (D) Rejection sampling is an approximate inference algorithm Solution Statement (A) is incorrect: Variable elimination is an exact inference algorithm. Statement (B) is incorrect: Gibbs sampling is a Markov Chain Monte Carlo (MCMC) algorithm, which is an approximate inference method. Statement (C) is correct: Variable elimination is an exact method used to compute marginal and conditional probabilities. Statement (D) is correct: Rejection sampling is a sampling-based approximate inference algorithm.

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