\(\text{www.the}\beta\text{etafunction.com}\)
    
    Home
    
    
      Login
      
    
    
      Questions: Algebra  BusinessCalculus
    
  
  Please login to create an exam or a quiz.
A bag contains 5 blue, 1 orange, and 2 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 7 marbles left in the bag and there are 4 blue marbles in the bag. The probability is \(\displaystyle \frac{4}{7}\)
\begin{question}A bag contains 5 blue, 1 orange, and 2 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 7 marbles left in the bag and there are 4 blue marbles in the bag. The probability is $\frac{4}{7}$}
\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 blue, 1 orange, and 2 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>
<p> <p>There are 7 marbles left in the bag and there are 4 blue marbles in the bag. The probability is  <img class="equation_image" title=" \displaystyle \frac{4}{7} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B4%7D%7B7%7D%20" alt="LaTeX:  \displaystyle \frac{4}{7} " data-equation-content=" \displaystyle \frac{4}{7} " /> </p> </p>