Multisocks

Question

Suppose you have $k \geq 1$ drawers with $r \geq 1$ distinct colors of socks. In drawer $i$, there are $n_{ij}$ socks of color $j$, where $1 \leq i \leq k$ and $1 \leq j \leq r$. One drawer is selected uniformly at random, and a sock from that drawer is selected uniformly at random. The sock is of color $1 \leq j \leq r$. Find the probability that you selected from drawer $i$. Solve this when $k = 3, r = 3, i = 2, j = 2$ and $n_{ij} = i+j$