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Questions: Algebra BusinessCalculus
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A bag contains 2 pink marbles, 2 black marbles, 2 red marbles, 2 orange marbles, and 4 green marbles. If 2 marbles are selected, what is the probability of picking 2 orange marbles?
There are \(\displaystyle C(12,2)=66\) to select 2 marbles. There are \(\displaystyle 1\) ways to select 2 orange from 2 orange. This gives the probability \(\displaystyle \frac{1}{66}\)
\begin{question}A bag contains 2 pink marbles, 2 black marbles, 2 red marbles, 2 orange marbles, and 4 green marbles. If 2 marbles are selected, what is the probability of picking 2 orange marbles?
\soln{9cm}{There are $C(12,2)=66$ to select 2 marbles. There are $1$ ways to select 2 orange from 2 orange. This gives the probability $\frac{1}{66}$}
\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 2 pink marbles, 2 black marbles, 2 red marbles, 2 orange marbles, and 4 green marbles. If 2 marbles are selected, what is the probability of picking 2 orange marbles?</p> </p>
<p> <p>There are <img class="equation_image" title=" \displaystyle C(12,2)=66 " src="/equation_images/%20%5Cdisplaystyle%20C%2812%2C2%29%3D66%20" alt="LaTeX: \displaystyle C(12,2)=66 " data-equation-content=" \displaystyle C(12,2)=66 " /> 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 orange from 2 orange. This gives the probability <img class="equation_image" title=" \displaystyle \frac{1}{66} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B66%7D%20" alt="LaTeX: \displaystyle \frac{1}{66} " data-equation-content=" \displaystyle \frac{1}{66} " /> </p> </p>