Chapter 9, Problem 15RE

In Problems 15 and 16, find the limiting matrix for the indicated standard form. Find the long-run probability of going from each nonabsorbing state to each absorbing slate and the average number of trials needed to go from each nonabsorbing state to an absorbing state.

$\begin{array}{l}\begin{array}{ccc}A& B& C\end{array}\\ P=\begin{array}{c}A\\ B\\ C\end{array}\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ .3& .1& .6\end{array}\right]\end{array}$