Past exam of the mathematics course of the University of Cambridge 2023 iii Paper 221 1 ii Solution Created 2026-09-28 Updated 2026-10-14
The directed acyclic graph factorization isThe graph gives and . Therefore Bayes' theorem givesConsequentlywhich contains no . This observed equality is a Verma constraint: it is implied by the latent-variable causal graph even though it is not a conditional independence.