Probability of selecting one Lewis Carroll book (1/3)
Probability of NOT selecting one Lewis Carroll book (1-(1/3))
Probability of choosing exactly 2 Lewis Carroll books from 4 books
$$\Text {Solution }\\\\
\left( {\begin{array}{*{20}c} n \\ k \\ \end{array}} \right) = \dfrac{{n!}}{{k!\left( {n - k} \right)!}}\; \hspace{15pt}| \hspace{15pt} \Text {n=4 \; k=2\\$$
$$\left( {\begin{array}{*{20}c} 4 \\ 2 \\ \end{array}} \right) * \; \left ( \dfrac {1}{3} \right )^2 \; *\; \left ( \dfrac {2}{3} \right )^2 = \; \dfrac {8}{27} \; \approx \; 0.29629 \\$$
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