[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]

With the situation in Exercise,consider the strategy such that for [math]i \lt 4[/math], Smith bets [math]\min(i,4 - i)[/math], and for [math]i \geq 4[/math], he bets according to the bold strategy, where [math]i[/math] is his current fortune. Find the probability that he gets out of jail using this strategy. How does this probability compare with that obtained for the bold strategy?