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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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 | |||
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. | ||
Latest revision as of 01:01, 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.