  We report the observation of intensity feedback random lasing at 645 nm in
Disperse Orange 11 dye-doped PMMA (DO11/PMMA) with dispersed ZrO$_2$
nanoparticles (NPs). The lasing threshold is found to increase with
concentration, with the lasing threshold for 0.1 wt\% being $75.8 \pm 9.4$
MW/cm$^2$ and the lasing threshold for 0.5 wt\% being $121.1 \pm 2.1$
MW/cm$^2$, with the linewidth for both concentrations found to be $\approx 10$
nm. We also consider the material's photostability and find that it displays
fully reversible photodegradation with the photostability and recovery rate
being greater than previously observed for DO11/PMMA without NPs. This
enhancement in photostability and recovery rate is found to be explicable by
the modified correlated chromophore domain model, with the NPs resulting in the
domain free energy advantage increasing from 0.29 eV to 0.41 eV. Additionally,
the molecular decay and recovery rates are found to be in agreement with
previous measurements of DO11/PMMA [Polymer Chemistry \textbf{4}, 4948 (2013)].
These results present new avenues for the development of robust
photodegradation-resistant organic dye-based optical devices.
