What is being asked of me:
Draw up similar tables defining the conditional probability function of $Y$ given $X = x$, and $X$ given $Y = y$.
Of: This table giving the joint probability function of $X$ and $Y$: $$\begin{align} \\ && y=0.5 && y = 1 && y= 1.5 \\x=1 &&\frac{1}{5} && \frac{1}{5} && 0 \\ x=2 &&0&&\frac{3}{10}&&\frac{1}{10} \\ x=3&&0&&0&&\frac{1}{5} \end{align}$$
I have made both tables successfully I believe, I would just like to verify, so here is the first one:
$$\begin{align} \\F_{X|Y} && y=0.5 && y = 1 && y= 1.5 \\x=1 &&1 && \frac{2}{5} && 0 \\ x=2 &&0&&\frac{3}{5}&&\frac{1}{3} \\ x=3&&0&&0&&\frac{2}{3} \end{align}$$
Thank you for your time!