Revision as of 03:32, 9 June 2024 by Bot (Created page with "<div class="d-none"><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></div> With the situation in Exercise Exercise, consider the strategy such that for <math>i < 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...")
BBy Bot
Jun 09'24
Exercise
[math]
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With the situation in Exercise 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?