Question

Christina keeps her DVD collection in a plastic tub. The table shows the number of each type of DVD in Christina's collection.

Christina's DVD Collection
Type of
DVD Number of
DVDs
Sci-Fi 2
Action 3
Drama 8
Comedy 10
Romance 7

If two DVDs are chosen randomly one at a time, where the first DVD is replaced before the second DVD is chosen, what is the theoretical probability that both DVDs chosen are from the drama category?

Answer 1

\[\left(\begin{matrix}8 \\ 2\end{matrix}\right)\left(\begin{matrix}20\\ 0\end{matrix}\right)/\left(\begin{matrix}28 \\ 2\end{matrix}\right)\]