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Questions: Algebra BusinessCalculus
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A bag contains 3 green marbles, 5 pink marbles, 4 black marbles, 3 red marbles, and 4 orange marbles. If 3 marbles are selected, what is the probability of picking 3 black marbles?
There are \(\displaystyle C(19,3)=969\) to select 3 marbles. There are \(\displaystyle 4\) ways to select 3 black from 4 black. This gives the probability \(\displaystyle \frac{4}{969}\)
\begin{question}A bag contains 3 green marbles, 5 pink marbles, 4 black marbles, 3 red marbles, and 4 orange marbles. If 3 marbles are selected, what is the probability of picking 3 black marbles?
\soln{9cm}{There are $C(19,3)=969$ to select 3 marbles. There are $4$ ways to select 3 black from 4 black. This gives the probability $\frac{4}{969}$}
\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 green marbles, 5 pink marbles, 4 black marbles, 3 red marbles, and 4 orange marbles. If 3 marbles are selected, what is the probability of picking 3 black marbles?</p> </p>
<p> <p>There are <img class="equation_image" title=" \displaystyle C(19,3)=969 " src="/equation_images/%20%5Cdisplaystyle%20C%2819%2C3%29%3D969%20" alt="LaTeX: \displaystyle C(19,3)=969 " data-equation-content=" \displaystyle C(19,3)=969 " /> to select 3 marbles. There are <img class="equation_image" title=" \displaystyle 4 " src="/equation_images/%20%5Cdisplaystyle%204%20" alt="LaTeX: \displaystyle 4 " data-equation-content=" \displaystyle 4 " /> ways to select 3 black from 4 black. This gives the probability <img class="equation_image" title=" \displaystyle \frac{4}{969} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B4%7D%7B969%7D%20" alt="LaTeX: \displaystyle \frac{4}{969} " data-equation-content=" \displaystyle \frac{4}{969} " /> </p> </p>