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Which of the following is true for an absorbing Markov Chain?

a) All states are transient

b) It has at least one absorbing state, and the other states are transient

c) There are no absorbing states

d) All states are ergodic

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Best Answer

The correct answer is:

b) It has at least one absorbing state, and the other states are transient

In an absorbing Markov Chain, there is at least one absorbing state, which, once entered, cannot be left. The other states in the chain are transient, meaning that once the system reaches an absorbing state, it stays there permanently.

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