[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

For Example when [math]\mat{P}[/math] is ergodic, what is the proportion of people who are told that the President will run? Interpret the fact that this proportion is independent of the starting state.