Two types of squirrels$$gray and black$$have been seen in Pine Valley. At the beginning of each year, we determine which of the following is true:

There are only gray squirrels in Pine Valley.

There are only black squirrels in Pine Valley.

There are both gray and black squirrels in Pine Valley.

There are no squirrels in Pine Valley.

Over the course of many years, the following transition matrix has been estimated, where x$=0\mathrm{.}10.$ During what fraction of years will gray squirrels be living in Pine Valle