Consider a gamblers ruin chain with N = 4. That is, if 1 i 3,
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Consider a gambler’s ruin chain with N = 4. That is, if 1 ≤ i ≤ 3, p(i, i + 1) = 0.4, and p(i, i − 1) = 0.6, but the endpoints are absorbing states: p(0, 0) = 1 and p(4, 4) = 1. Compute p3 (1, 4) and p3 (1, 0).
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