First let's find the total amount of apples:
[tex]\text{total}=9+3+2=14[/tex]Then, if we have 9 red apples, the probability of picking a red apple is 9/14.
After that, the total number of apples is reduced to 13.
We have 2 yellow apples, so the probability of the second pick being a yellow apple is 2/13.
The final probability will be the products of the probabilities above:
[tex]\begin{gathered} P=\frac{9}{14}\cdot\frac{2}{13} \\ P=\frac{9}{7}\cdot\frac{1}{13} \\ P=\frac{9}{91} \\ P=0.099 \end{gathered}[/tex]So the correct option is A.