Every morning a couple has breakfast at one of three cafes: Amy's, Bob's, or Cindy's.
After eating at Amy's or Bob's, they flip a coin to see which of the other two cafes they'll go to the next morning.
However after Cindy's, they always go to Amy's.
Question: Over time, in what ratio do they attend the three cafes?
This is an original problem. I was working on odds for Monopoly boards and first wanted a small degenerate version of the game movement to make sure my methodology was sound.