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<div class="d-none"><math>
Prove that you cannot load two dice in such a way that the probabilities for any sum from 2 to 12 are the same.  (Be sure to consider
\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> Prove that you cannot load two dice in such a way that
the probabilities for any sum from 2 to 12 are the same.  (Be sure to consider
the case where one or more sides turn up with probability zero.)
the case where one or more sides turn up with probability zero.)

Latest revision as of 00:59, 25 June 2024

Prove that you cannot load two dice in such a way that the probabilities for any sum from 2 to 12 are the same. (Be sure to consider the case where one or more sides turn up with probability zero.)