exercise:0150b9a04a: 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> You are given two urns and fifty balls. Half of the balls are white and half are black. You are asked to distribute the balls in the urns with no restriction placed on the number of either type in an urn. How should you distribute the balls in...")
 
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<div class="d-none"><math>
You are given two urns and fifty balls.  Half of the balls are white and half are black.  You are asked to distribute the balls in the urns with no
\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> You are given two urns and fifty balls.  Half of the balls are white and
half are black.  You are asked to distribute the balls in the urns with no
restriction placed on the number of either type in an urn.  How should you
restriction placed on the number of either type in an urn.  How should you
distribute the balls in the urns to maximize the probability of obtaining a
distribute the balls in the urns to maximize the probability of obtaining a
white ball if an urn is chosen at random and a ball drawn out at random?  
white ball if an urn is chosen at random and a ball drawn out at random?  
Justify your answer.
Justify your answer.

Revision as of 00:47, 13 June 2024

You are given two urns and fifty balls.  Half of the balls are white and half are black.  You are asked to distribute the balls in the urns with no

restriction placed on the number of either type in an urn. How should you distribute the balls in the urns to maximize the probability of obtaining a white ball if an urn is chosen at random and a ball drawn out at random? Justify your answer.