Answer: [tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Given
A box contains 3 chocolate chip cookies, 2 oatmeal raisins, and 4 gingerbreads
First Probability of selecting a chocolate chip is
[tex]\Rightarrow \dfrac{3}{9}[/tex]
After that there are 8 items left. So probability of selecting a gingerbread
[tex]\Rightarrow \dfrac{4}{8}[/tex]
On combining, the required probability is
[tex]\Rightarrow \dfrac{3}{9}\times \dfrac{4}{8}\\\\\Rightarrow \dfrac{1}{6}[/tex]