If we have the tables of conditionals $p(x|y)$ and $p(y|x)$, how can we calculate the joint probability $p(x, y)$? (Let us assume $x$ and $y$ are binary variables).
Using these tables, how can we calculate the covariance of $x$ and $y$? Covariance of two variables are calculated using $E[xy]-E[x]E[y]$, but I am not sure how to evaluate this considering the probabilities.
To clarify further, let me show the question as follows: