An urn contains r red balls and b blue balls. A ball is chosen uniformly at random from the urn. Its color is noted, and it is returned together with d more balls of the same color. This is repeated twice. What is the probability \begin{enumerate} \item The second ball drawn is blue. \item The first ball drawn is blue given that the second ball drawn is blue. \end{enumerate}

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An urn contains r red balls and b blue balls. A ball is chosen uniformly at random from the urn. Its color is
noted, and it is returned together with d more balls of the same color. This is repeated twice. What is the
probability
\begin{enumerate}
\item The second ball drawn is blue.
\item The first ball drawn is blue given that the second ball drawn is blue.
\end{enumerate}
Transcribed Image Text:An urn contains r red balls and b blue balls. A ball is chosen uniformly at random from the urn. Its color is noted, and it is returned together with d more balls of the same color. This is repeated twice. What is the probability \begin{enumerate} \item The second ball drawn is blue. \item The first ball drawn is blue given that the second ball drawn is blue. \end{enumerate}
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