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What does the notation \(p_{ij}\) represent in a time-homogeneous Markov chain?
The probability that the system is in state \(i\) and state \(j\) at the same time.
The probability of being in state \(i\) at step \(j\).
The conditional probability \(P(X_{n+1} = e_j \mid X_n = e_i)\).
The conditional probability \(P(X_{n+1} = e_i \mid X_n = e_j)\).
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