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An elevator takes on six passengers and stops at ten floors. We can assign two different equiprobable measures for the ways that the passengers are
\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> An elevator takes on six passengers and stops at ten floors.  
We can assign two different equiprobable measures for the ways that the passengers are
discharged: (a) we consider the passengers to be distinguishable or (b) we consider
discharged: (a) we consider the passengers to be distinguishable or (b) we consider
them to be indistinguishable (see Exercise [[exercise:Dfce574f95 |Exercise]] for this case).  For
them to be indistinguishable (see Exercise [[exercise:Dfce574f95 |Exercise]] for this case).  For
each case, calculate the probability that all the passengers get off at different
each case, calculate the probability that all the passengers get off at different
floors.
floors.

Revision as of 23:05, 12 June 2024

An elevator takes on six passengers and stops at ten floors. We can assign two different equiprobable measures for the ways that the passengers are discharged: (a) we consider the passengers to be distinguishable or (b) we consider them to be indistinguishable (see Exercise Exercise for this case). For each case, calculate the probability that all the passengers get off at different floors.