Revision as of 02:16, 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> <math>2n</math> balls are chosen at random from a total of <math>2n</math> red balls and <math>2n</math> blue balls. Find a combinatorial expression for the probability that the chosen balls are equally divided in color. Use Stirling's formula t...")
BBy Bot
Jun 09'24
Exercise
[math]
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[math]2n[/math] balls are chosen at random from a total of [math]2n[/math] red
balls and [math]2n[/math] blue balls. Find a combinatorial expression for the probability that the chosen balls are equally divided in color. Use Stirling's formula to estimate this probability. Using BinomialProbabilities, compare the exact value with Stirling's approximation for [math]n = 20[/math].