Question: The day-to-day changes in weather for a certain part of the country form a Markov process. Each day is sunny, cloudy, or rainy. If it

The day-to-day changes in weather for a certain part of the country form a Markov process. Each day is sunny, cloudy, or rainy. If it is sunny one day, there is a 70% chance that it will be sunny the following day, a 20% chance that it will be cloudy, and a 10% chance of rain. If it is cloudy one day, there is a 30% chance that it will be sunny the following day, a 50% chance that it will be cloudy, and a 20% chance of rain. If it rains one day, there is a 60% chance that it will be sunny the following day, a 20% chance that it will be cloudy, and a 20% chance of rain. In the long run, what is the daily likelihood of rain?

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