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Questions: Algebra BusinessCalculus

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A bag contains 3 blue, 2 red, 3 green, 3 orange, and 5 black marbles. If two marbles are drawn and the first one is blue, what is the probability that the second marble is blue?


There are 15 marbles left in the bag and there is 1 blue marble in the bag. The probability is \(\displaystyle \frac{2}{15}\)

Download \(\LaTeX\)

\begin{question}A bag contains 3 blue, 2 red, 3 green, 3 orange, and 5 black marbles. If two marbles are drawn and the first one is blue, what is the probability that the second marble is blue? 
    \soln{9cm}{There are 15 marbles left in the bag and there is 1 blue marble in the bag. The probability is $\frac{2}{15}$}

\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 3 blue, 2 red, 3 green, 3 orange, and 5 black marbles. If two marbles are drawn and the first one is blue, what is the probability that the second marble is blue? </p> </p>
HTML for Canvas
<p> <p>There are 15 marbles left in the bag and there is 1 blue marble in the bag. The probability is  <img class="equation_image" title=" \displaystyle \frac{2}{15} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B2%7D%7B15%7D%20" alt="LaTeX:  \displaystyle \frac{2}{15} " data-equation-content=" \displaystyle \frac{2}{15} " /> </p> </p>