First let's find the total amount of apples:

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:

So the correct option is A.