  We examine a one-dimensional $\mathcal{PT}$-symmetric binary lattice in the
presence of diagonal disorder. We focus on the wave transport phenomena of
localized and extended input beams for this disordered system. In the pure
$\mathcal{PT}$-symmetric case, we derive an exact expression for the evolution
of light localization in terms of the typical parameters of the system. In this
case localization is enhanced as the gain and loss parameter in increased. In
the presence of disorder, we observe that the presence of gain and loss
inhibits (favors) the transport for localized (extended) excitations.
