Question: The three letters C, A, and T represent the states of a word- generating system. Let the initial state probability vector be (1/ 3 1/

The three letters C, A, and T represent the states of a word- generating system. Let the initial state probability vector be (1/ 3 1/ 3 1/ 3) for the three letters, respectively. The transition matrix is given as

What is the probability of generating a proper three- letter English dictionary word after two transitions from the initial state?

C A T P = C | 0.1 0.7 0.2 A 10.6 0.1 0.3 T 0.1 0.8 0.1

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