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A bag contains 4 black, 2 blue, 4 orange, 1 green, and 2 red marbles. If two marbles are drawn and the first one is black, what is the probability that the second marble is black?


There are 12 marbles left in the bag and there is 1 black marble in the bag. The probability is \(\displaystyle \frac{1}{4}\)

Download \(\LaTeX\)

\begin{question}A bag contains 4 black, 2 blue, 4 orange, 1 green, and 2 red marbles. If two marbles are drawn and the first one is black, what is the probability that the second marble is black? 
    \soln{9cm}{There are 12 marbles left in the bag and there is 1 black marble in the bag. The probability is $\frac{1}{4}$}

\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 4 black, 2 blue, 4 orange, 1 green, and 2 red marbles. If two marbles are drawn and the first one is black, what is the probability that the second marble is black? </p> </p>
HTML for Canvas
<p> <p>There are 12 marbles left in the bag and there is 1 black marble in the bag. The probability is  <img class="equation_image" title=" \displaystyle \frac{1}{4} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B4%7D%20" alt="LaTeX:  \displaystyle \frac{1}{4} " data-equation-content=" \displaystyle \frac{1}{4} " /> </p> </p>