Markov Chains

The Markov property and transition matrices, Chapman-Kolmogorov, classification of states, stationary distributions and convergence, reversibility, absorption and hitting times.0/103 mastered

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For the weather chain

P = \begin{bmatrix} 0.7 & 0.2 & 0.1 \\ 0.3 & 0.6 & 0.1 \\ 0.3 & 0.1 & 0.6 \end{bmatrix}

(states ordered Sunny, Cloudy, Rainy), what is

p_{12}

, the probability of moving from Sunny to Cloudy in one step?

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