Basic Markov Chain Transition Matrix

00:00 4 marks

Consider a simple Markov chain that models weather with two states: Sunny and Rainy. Its transition matrix is given by \( P = \begin{pmatrix} 0.8 & 0.2 \\ 0.4 & 0.6 \end{pmatrix} \). Describe what the first row \((0.8, 0.2)\) represents in the context of this model.

Hint Hint

Hint

Recall that each row represents the probabilities of transitioning from a given current state.

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Answer Answer

Complete Answer

The first row represents the probabilities for a sunny day transitioning to the next day: a probability of 0.8 of remaining sunny and 0.2 of changing to rainy.

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