[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]

Consider Example with [math]a = .5[/math] and [math]b = .75[/math]. Assume that the President says that he or she will run. Find the expected length of time before the first time the answer is passed on incorrectly.