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Questions: Algebra BusinessCalculus
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A bag contains 4 red marbles, 4 black marbles, 4 orange marbles, 3 blue marbles, 2 pink marbles, and 5 green marbles. If 4 marbles are selected, what is the probability of picking 4 red marbles?
There are \(\displaystyle C(22,4)=7315\) to select 4 marbles. There are \(\displaystyle 1\) ways to select 4 red from 4 red. This gives the probability \(\displaystyle \frac{1}{7315}\)
\begin{question}A bag contains 4 red marbles, 4 black marbles, 4 orange marbles, 3 blue marbles, 2 pink marbles, and 5 green marbles. If 4 marbles are selected, what is the probability of picking 4 red marbles?
\soln{9cm}{There are $C(22,4)=7315$ to select 4 marbles. There are $1$ ways to select 4 red from 4 red. This gives the probability $\frac{1}{7315}$}
\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 4 red marbles, 4 black marbles, 4 orange marbles, 3 blue marbles, 2 pink marbles, and 5 green marbles. If 4 marbles are selected, what is the probability of picking 4 red marbles?</p> </p>
<p> <p>There are <img class="equation_image" title=" \displaystyle C(22,4)=7315 " src="/equation_images/%20%5Cdisplaystyle%20C%2822%2C4%29%3D7315%20" alt="LaTeX: \displaystyle C(22,4)=7315 " data-equation-content=" \displaystyle C(22,4)=7315 " /> to select 4 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 4 red from 4 red. This gives the probability <img class="equation_image" title=" \displaystyle \frac{1}{7315} " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B7315%7D%20" alt="LaTeX: \displaystyle \frac{1}{7315} " data-equation-content=" \displaystyle \frac{1}{7315} " /> </p> </p>