\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
A bag contains 3 pink marbles, 2 red marbles, 5 blue marbles, 3 orange marbles, 4 black marbles, and 2 green marbles. If 2 marbles are selected, what is the probability of picking 2 green marbles?
There are \(\displaystyle C(19,2)=171\) to select 2 marbles. There are \(\displaystyle 1\) ways to select 2 green from 2 green. This gives the probability \(\displaystyle \frac{1}{171}\)
\begin{question}A bag contains 3 pink marbles, 2 red marbles, 5 blue marbles, 3 orange marbles, 4 black marbles, and 2 green marbles. If 2 marbles are selected, what is the probability of picking 2 green marbles?
\soln{9cm}{There are $C(19,2)=171$ to select 2 marbles. There are $1$ ways to select 2 green from 2 green. This gives the probability $\frac{1}{171}$}
\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 3 pink marbles, 2 red marbles, 5 blue marbles, 3 orange marbles, 4 black marbles, and 2 green marbles. If 2 marbles are selected, what is the probability of picking 2 green marbles?</p> </p>
<p> <p>There are <img class="equation_image" title=" \displaystyle C(19,2)=171 " src="/equation_images/%20%5Cdisplaystyle%20C%2819%2C2%29%3D171%20" alt="LaTeX: \displaystyle C(19,2)=171 " data-equation-content=" \displaystyle C(19,2)=171 " /> to select 2 marbles. There are <img class="equation_image" title=" \displaystyle 1 " src="/equation_images/%20%5Cdisplaystyle%201%20" alt="LaTeX: \displaystyle 1 " data-equation-content=" \displaystyle 1 " /> ways to select 2 green from 2 green. This gives the probability <img class="equation_image" title=" \displaystyle \frac{1}{171} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B171%7D%20" alt="LaTeX: \displaystyle \frac{1}{171} " data-equation-content=" \displaystyle \frac{1}{171} " /> </p> </p>