  SLE$_{\kappa}(\rho)$ is a variant of SLE$_{\kappa}$ where $\rho$
characterizes the repulsion (if $\rho>0$) or attraction $(\rho<0)$ from the
boundary. This paper examines the probabilities of SLE$_{\kappa}(\rho)$ to get
close to the boundary. We show how close the chordal SLE$_{\kappa}(\rho)$
curves get to the boundary asymptotically, and provide an estimate for the
probability that the SLE$_{\kappa}(\rho)$ curve hits graph of functions. These
generalize the similar result derived by Schramm and Zhou for standard
SLE$_{\kappa}$ curves.
