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Questions: Algebra BusinessCalculus
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A bag contains 3 pink marbles, 4 orange marbles, 2 black marbles, and 4 green marbles. If 2 marbles are selected, what is the probability of picking 2 pink marbles?
There are \(\displaystyle C(13,2)=78\) to select 2 marbles. There are \(\displaystyle 3\) ways to select 2 pink from 3 pink. This gives the probability \(\displaystyle \frac{1}{26}\)
\begin{question}A bag contains 3 pink marbles, 4 orange marbles, 2 black marbles, and 4 green marbles. If 2 marbles are selected, what is the probability of picking 2 pink marbles?
\soln{9cm}{There are $C(13,2)=78$ to select 2 marbles. There are $3$ ways to select 2 pink from 3 pink. This gives the probability $\frac{1}{26}$}
\end{question}
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\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, 4 orange marbles, 2 black marbles, and 4 green marbles. If 2 marbles are selected, what is the probability of picking 2 pink marbles?</p> </p>
<p> <p>There are <img class="equation_image" title=" \displaystyle C(13,2)=78 " src="/equation_images/%20%5Cdisplaystyle%20C%2813%2C2%29%3D78%20" alt="LaTeX: \displaystyle C(13,2)=78 " data-equation-content=" \displaystyle C(13,2)=78 " /> to select 2 marbles. There are <img class="equation_image" title=" \displaystyle 3 " src="/equation_images/%20%5Cdisplaystyle%203%20" alt="LaTeX: \displaystyle 3 " data-equation-content=" \displaystyle 3 " /> ways to select 2 pink from 3 pink. This gives the probability <img class="equation_image" title=" \displaystyle \frac{1}{26} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B26%7D%20" alt="LaTeX: \displaystyle \frac{1}{26} " data-equation-content=" \displaystyle \frac{1}{26} " /> </p> </p>