The Land of Oz is blessed by many things, but not by good weather. They never have two nice days
in a row. If they have a nice day, they are just as likely to have snow as rain the next day. If they have snow or rain, they have an even chance of having the same the next day. If there is change from snow or rain, only half of the time is this a
change to a nice day.
How is the weather 15 days from now if there is a equal probability of each type of weather today (probability of each type)?