\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
Two dice are rolled. Find the probability that the sum is greater than 8 or that one die is less than 3.
There are 10 ways the sum is greater than 8. There are 20 ways one die is less than 3. The events are mutually exclusive, so the probability is \(\displaystyle \frac{5}{6}\)
\begin{question}Two dice are rolled. Find the probability that the sum is greater than 8 or that one die is less than 3. \soln{9cm}{There are 10 ways the sum is greater than 8. There are 20 ways one die is less than 3. The events are mutually exclusive, so the probability is $\frac{5}{6}$} \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>Two dice are rolled. Find the probability that the sum is greater than 8 or that one die is less than 3.</p> </p>
<p> <p>There are 10 ways the sum is greater than 8. There are 20 ways one die is less than 3. The events are mutually exclusive, so the probability is <img class="equation_image" title=" \displaystyle \frac{5}{6} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B5%7D%7B6%7D%20" alt="LaTeX: \displaystyle \frac{5}{6} " data-equation-content=" \displaystyle \frac{5}{6} " /> </p> </p>