 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-215/2/a/ii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

No transition joins distinct

A_{i}

, so

Q (A, A^{c}) = \sum_{i} Q (A_{i}, A_{i}^{c}) .

Consequently

Φ (A) = \sum_{i} \frac{π ( A _{i} )}{π ( A )} Φ (A_{i}) \geq in f_{i} Φ (A_{i}) .

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