First let's find the total amount of apples:
![\text{total}=9+3+2=14](https://img.qammunity.org/2023/formulas/mathematics/college/zfrjufs040bzdylugcka5i1ao7nexnphd2.png)
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:
![\begin{gathered} P=(9)/(14)\cdot(2)/(13) \\ P=(9)/(7)\cdot(1)/(13) \\ P=(9)/(91) \\ P=0.099 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/n16k2jbbbi17r9s18jdwhk71yusw2bxx98.png)
So the correct option is A.