  We study the random graph $G(n,p)$ with a random orientation. For three fixed
vertices $s,a,b$ in $G(n,p)$ we study the correlation of the events $a \to s$
and $s\to b$. We prove that asymptotically the correlation is negative for
small $p$, $p<\frac{C_1}n$, where $C_1\approx0.3617$, positive for
$\frac{C_1}n<p<\frac2n$ and up to $p=p_2(n)$. Computer aided computations
suggest that $p_2(n)=\frac{C_2}n$, with $C_2\approx7.5$. We conjecture that the
correlation then stays negative for $p$ up to the previously known zero at
$\frac12$; for larger $p$ it is positive.
