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07-01-2024
Mathematics

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Consider the Markov chain whose transition probability matrix is given by starting at state x₀ = 1. Determine the probability that the process never visits state 2.

a) P(X₁ = 2 | X₀ = 1)
b) P(X₂ = 2 | X₀ = 1)
c) P(Never visit 2 | X₀ = 1)
d) P(Always visit 2 | X₀ = 1)

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