  We consider an anisotropic bond percolation model on $\mathbb{Z}^2$, with
$\textbf{p}=(p_h,p_v)\in [0,1]^2$, $p_v>p_h$, and declare each horizontal
(respectively vertical) edge of $\mathbb{Z}^2$ to be open with probability
$p_h$(respectively $p_v$), and otherwise closed, independently of all other
edges. Let $x=(x_1,x_2) \in \mathbb{Z}^2$ with $0<x_1<x_2$, and
$x'=(x_2,x_1)\in \mathbb{Z}^2$. It is natural to ask how the two point
connectivity function $\prob(\{0\leftrightarrow x\})$ behaves, and whether
anisotropy in percolation probabilities implies the strict inequality
$\prob(\{0\leftrightarrow x\})>\prob(\{0\leftrightarrow x'\})$. In this note we
give an affirmative answer in the highly supercritical regime.
