Solve the problem.Suppose that the weather in a certain city is either sunny, cloudy, or rainy on a given day, and consider the following:1) If it is sunny today there is a 70% chance it will be sunny tomorrow and a 30% chance that it will be cloudy.2) If it is cloudy today there is a 40% chance it will be sunny tomorrow, a 40% chance that it will be cloudy, and a 20% chance that it will be rainy.3) If it is rainy today there is a 40% chance it will be sunny tomorrow, a 30% chance that it will be cloudy, and a 30% chance that it will be rainy.In the long run, how likely is it that the weather will be rainy on a given day?
A. 11.3%
B. 12.1%
C. 10.6%
D. 9.5%
Answer: D
Mathematics
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