The​ day-to-day changes in weather for a certain region form a regular Markov process. Each day is​ sunny, cloudy or rainy. If it is sunny one​ day, there is a 40 %40% chance that it will be sunny the following​ day, a 30 %30% chance it will be​ cloudy, and a 30 %30% chance of rain. If it is cloudy one​ day, there is a 50 %50% chance that it will be sunny the following​ day, a 20 %20% chance it will be​ cloudy, and a 30 %30% chance of rain. If it rains one​ day, there is a 10 %10% chance that it will be sunny the following​ day, a 30 %30% chance it will be​ cloudy, and a 60 %60% chance of rain. In the long​ run, what is the daily likelihood of rain question mark rain?