The weather in Charlotte, North Carolina, can be classified as sunny, cloudy, or rainy on a given day. Climate data from 2003 reveal that

• If a day is sunny, then the next day will be sunny with probability .65, cloudy with probability .1, and rainy with probability .25.
• If a day is cloudy, then the next day will be sunny with probability .25, cloudy with probability .25, and rainy with probability .5.
• If a day is rainy, then the next day will be sunny with probability .25, cloudy with probability .15, and rainy with probability .60.

Suppose it is cloudy on Monday. Use a Markov chain to find the probabilities of the different kinds of weather on Friday.