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Questions: Algebra BusinessCalculus
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A bag contains 1 green, 1 red, and 4 black marbles. If two marbles are drawn and the first one is green, what is the probability that the second marble is red?
There are 5 marbles left in the bag and there is 1 red marble in the bag. The probability is \(\displaystyle \frac{1}{5}\)
\begin{question}A bag contains 1 green, 1 red, and 4 black marbles. If two marbles are drawn and the first one is green, what is the probability that the second marble is red? \soln{9cm}{There are 5 marbles left in the bag and there is 1 red marble in the bag. The probability is $\frac{1}{5}$} \end{question}
\documentclass{article} \usepackage{tikz} \usepackage{amsmath} \usepackage[margin=2cm]{geometry} \usepackage{tcolorbox} \newcounter{ExamNumber} \newcounter{questioncount} \stepcounter{questioncount} \newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}} \renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}} \newif\ifShowSolution \newcommand{\soln}[2]{% \ifShowSolution% \noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else% \vspace{#1}% \fi% }% \newcommand{\hideifShowSolution}[1]{% \ifShowSolution% % \else% #1% \fi% }% \everymath{\displaystyle} \ShowSolutiontrue \begin{document}\begin{question}(10pts) The question goes here! \soln{9cm}{The solution goes here.} \end{question}\end{document}
<p> <p>A bag contains 1 green, 1 red, and 4 black marbles. If two marbles are drawn and the first one is green, what is the probability that the second marble is red? </p> </p>
<p> <p>There are 5 marbles left in the bag and there is 1 red marble in the bag. The probability is <img class="equation_image" title=" \displaystyle \frac{1}{5} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B5%7D%20" alt="LaTeX: \displaystyle \frac{1}{5} " data-equation-content=" \displaystyle \frac{1}{5} " /> </p> </p>