In Cook County, each day is either sunny or cloudy. If day is sunny, the following day will be sunny with the probability 0.60. If day is cloudy, the following day will be cloudy with probability 0.70. Assume it is cloudy on Monday.
Questions: Show work
a) Determine the probability that it will be sunny on Wednesday?
b) Determine the probability that it will be sunny on both Tuesday and Wednesday?