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Questions: Algebra BusinessCalculus
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A bag contains 5 orange, 3 green, 2 red, and 5 blue marbles. If two marbles are drawn and the first one is orange, what is the probability that the second marble is orange?
There are 14 marbles left in the bag and there are 4 orange marbles in the bag. The probability is \(\displaystyle \frac{2}{7}\)
\begin{question}A bag contains 5 orange, 3 green, 2 red, and 5 blue marbles. If two marbles are drawn and the first one is orange, what is the probability that the second marble is orange? \soln{9cm}{There are 14 marbles left in the bag and there are 4 orange marbles in the bag. The probability is $\frac{2}{7}$} \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 orange, 3 green, 2 red, and 5 blue marbles. If two marbles are drawn and the first one is orange, what is the probability that the second marble is orange? </p> </p>
<p> <p>There are 14 marbles left in the bag and there are 4 orange marbles in the bag. The probability is <img class="equation_image" title=" \displaystyle \frac{2}{7} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B2%7D%7B7%7D%20" alt="LaTeX: \displaystyle \frac{2}{7} " data-equation-content=" \displaystyle \frac{2}{7} " /> </p> </p>