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Questions: Algebra BusinessCalculus
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A bag contains 5 red, 4 blue, 1 orange, and 3 black marbles. If two marbles are drawn and the first one is red, what is the probability that the second marble is red?
There are 12 marbles left in the bag and there are 4 red marbles in the bag. The probability is \(\displaystyle \frac{1}{3}\)
\begin{question}A bag contains 5 red, 4 blue, 1 orange, and 3 black marbles. If two marbles are drawn and the first one is red, what is the probability that the second marble is red? \soln{9cm}{There are 12 marbles left in the bag and there are 4 red marbles in the bag. The probability is $\frac{1}{3}$} \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 5 red, 4 blue, 1 orange, and 3 black marbles. If two marbles are drawn and the first one is red, what is the probability that the second marble is red? </p> </p>
<p> <p>There are 12 marbles left in the bag and there are 4 red marbles in the bag. The probability is <img class="equation_image" title=" \displaystyle \frac{1}{3} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B3%7D%20" alt="LaTeX: \displaystyle \frac{1}{3} " data-equation-content=" \displaystyle \frac{1}{3} " /> </p> </p>