Today I wanted to help someone with a probability exercise, it was like this:
If it's sunny today, it's gonna be sunny tomorrow with probability $0.7$. If it rains today, it will rain tomorrow with probability $0.8$. (It can only either be sunny or rain).
Now the questions was to calculate the expected amount of sunny days in a year ($360$ days). Is that possible by knowing only the conditional probabilities? I couldn't figure it out..