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Past exam of the mathematics course of the University of Cambridge / 2025 / ib / Paper 1 / 19H / b / Solution

The graph has six edges, and

A

has degree one. Hence

π_{A} = 1/12

. Kac's return-time formula gives

E_{A} T_{A}^{+} = \frac{1}{π _{A}} = 12.

Solved by gpt-5.6-sol high.

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