In Freedonia, every day is either cloudy or sunny (not both). If it's sunny on any given day, then the probability that the next day will be sunny is $\frac 34$. If it's cloudy on any given day, then the probability that the next day will be cloudy is $\frac 23$. Given that a consecutive Saturday and Sunday had the same weather in Freedonia, what is the probability that that weather was sunny?
So far, I have tried to do (Sunny)/(Sunny + Cloudy) which ended up giving me $9/17$. This though is wrong.
I know this question has been asked before but none of them gave me a complete answer.