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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 \(\displaystyle \frac{2}{7}\)

Download \(\LaTeX\)

\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}

Download Question and Solution Environment\(\LaTeX\)
\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}
HTML for Canvas
<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>
HTML for Canvas
<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>