Answer:
The probability P that she selects a romance movie at random fromthe shelf is;
[tex]P=\frac{3}{8}[/tex]Explanation:
Given that;
On Dora's shelf are the following movies:
Adventure movies ---- 4
drama movies ----------6
romance movies-------6
Total number of movies = 4+6+6=16
So, the probability P that she selects a romance movie at random fromthe shelf is;
[tex]\begin{gathered} P=\frac{\text{ number of romance movies}}{\text{Total number of movies}} \\ P=\frac{6}{16} \\ P=\frac{3}{8} \end{gathered}[/tex]In reduced fraction, The probability P that she selects a romance movie at random fromthe shelf is;
[tex]P=\frac{3}{8}[/tex]