exercise:8582afa4e3: 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> 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}\...") |
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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 | |||
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"> | <math display="block"> | ||
a = \frac{4L}\pi\ . | a = \frac{4L}\pi\ . | ||
</math> | </math> | ||
Latest revision as of 22:54, 14 June 2024
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]]