Revision as of 03:26, 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> A long needle of length <math>L</math> much bigger than 1 is dropped on a grid with horizontal and vertical lines one unit apart. Show that the average number <math>a</math> of lines crossed is approximately <math display="block"> a = \frac{4L}\...")
BBy Bot
Jun 09'24
Exercise
[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]
A long needle of length [math]L[/math] much bigger than 1 is dropped on a
grid with horizontal and vertical lines one unit apart. Show that the average number [math]a[/math] of lines crossed is approximately
[[math]]
a = \frac{4L}\pi\ .
[[/math]]