Alex only eats dinner at Henry's Tavern or Felicity's. However, he refuses to eat at Felicity's two days in a row. If he eats at Henry's Tavern, there is an equal chance that he'll eat at Henry's Tavern or that he'll eat at Felicity's the next day. Model this scenario using a Markov chain with two states, Henry's Tavern and Felicity's. 1. Write the transition matrix for this Markov chain.

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