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Whether or not it rains follows a 2 state Markov chain. If it rains one day, then it will rain the next with probability 1/2

Whether or not it rains follows a 2 state Markov chain. If it rains one day, then it will rain the next with probability 1/2 or will be dry with probability 1/2. Overall, 40 percent of days are rainy. If it is raining on Monday, find

(a) the probability that it will rain on Tuesday;

(b) the probability that it will rain on Thursday

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