In Manhattan during spring the weather was quite strange of its has both sunny and rainy days and follows a Markov chain with two states. A sunny day is followed by a sunny day with probability 0.8. A rainy day is by a rainy day with probability 0.6. a) Manhattan has sunny weather Today. What is the chance of rain the day after tomorrow? b) Compute the probability that April 1 next year is rainy in Manhattan

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