exercise:814da23c3c: Difference between revisions
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(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...") |
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\newcommand{\mathds}{\mathbb}</math></div> With the situation in | \newcommand{\mathds}{\mathbb}</math></div> With the situation in [[exercise:F626b53b6b |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>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? | ||
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>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? | |||
Latest revision as of 22:27, 15 June 2024
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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?