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A bag contains 3 blue marbles, and 4 orange marbles. If 2 marbles are selected, what is the probability of picking 2 orange marbles?


There are \(\displaystyle C(7,2)=21\) to select 2 marbles. There are \(\displaystyle 6\) ways to select 2 orange from 4 orange. This gives the probability \(\displaystyle \frac{2}{7}\)

Download \(\LaTeX\)

\begin{question}A bag contains 3 blue marbles, and 4 orange marbles. If 2 marbles are selected, what is the probability of picking 2 orange marbles?
    \soln{9cm}{There are $C(7,2)=21$ to select 2 marbles. There are $6$ ways to select 2 orange from 4 orange. This gives the probability $\frac{2}{7}$}

\end{question}

Download Question and Solution Environment\(\LaTeX\)
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\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 marbles, and 4 orange marbles. If 2 marbles are selected, what is the probability of picking 2 orange marbles?</p> </p>
HTML for Canvas
<p> <p>There are  <img class="equation_image" title=" \displaystyle C(7,2)=21 " src="/equation_images/%20%5Cdisplaystyle%20C%287%2C2%29%3D21%20" alt="LaTeX:  \displaystyle C(7,2)=21 " data-equation-content=" \displaystyle C(7,2)=21 " />  to select 2 marbles. There are  <img class="equation_image" title=" \displaystyle 6 " src="/equation_images/%20%5Cdisplaystyle%206%20" alt="LaTeX:  \displaystyle 6 " data-equation-content=" \displaystyle 6 " />  ways to select 2 orange from 4 orange. This gives the probability  <img class="equation_image" title=" \displaystyle \frac{2}{7} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B2%7D%7B7%7D%20" alt="LaTeX:  \displaystyle \frac{2}{7} " data-equation-content=" \displaystyle \frac{2}{7} " /> </p> </p>