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. Suppose the predicted weather for Friday is 55% sunny, 30% cloudy, and 15% rainy. What are the chances that Sunday will be rainy? Give your answer as a percentage and enter it into Ans. Do not approximate. Do not include the % symbol.

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