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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> At a mathematical conference, ten participants are randomly seated around a circular table for meals. Using simulation, estimate the probability that no two people sit next to each other at both lunch and dinner. Can you make an intelligent con...") |
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At a mathematical conference, ten participants are randomly seated around a circular table for meals. Using | |||
ten participants are randomly seated around a circular table for meals. Using | |||
simulation, estimate the probability that no two people sit next to each other at both | simulation, estimate the probability that no two people sit next to each other at both | ||
lunch and dinner. Can you make an intelligent conjecture for the case of <math>n</math> | lunch and dinner. Can you make an intelligent conjecture for the case of <math>n</math> | ||
participants when <math>n</math> is large? | participants when <math>n</math> is large? | ||
Latest revision as of 22:46, 12 June 2024
At a mathematical conference, ten participants are randomly seated around a circular table for meals. Using simulation, estimate the probability that no two people sit next to each other at both lunch and dinner. Can you make an intelligent conjecture for the case of [math]n[/math] participants when [math]n[/math] is large?