 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ib/paper-3/8h/b/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

Yes. The three nontrivial detailed balance identities are

π_{A} P_{A B} = \frac{1}{8} = π_{B} P_{B A},

π_{A} P_{A C} = \frac{1}{8} = π_{C} P_{C A},

and

π_{B} P_{BC} = \frac{1}{24} = π_{C} P_{CB} .

Thus the chain is a reversible Markov chain.

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