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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> The probability of a royal flush in a poker hand is <math>p = 1/649,40</math>. How large must <math>n</math> be to render the probability of having no royal flush in <math>n</math> hands smaller than <math>1/e</math>?") |
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The probability of a royal flush in a poker hand is <math>p =1/64940</math>. How large must <math>n</math> be to render the probability of having no royal flush in <math>n</math> hands smaller than <math>1/e</math>? | |||
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flush in <math>n</math> hands smaller than <math>1/e</math>? | |||
Latest revision as of 12:08, 24 June 2024
The probability of a royal flush in a poker hand is [math]p =1/64940[/math]. How large must [math]n[/math] be to render the probability of having no royal flush in [math]n[/math] hands smaller than [math]1/e[/math]?