  The recent multi-messenger discovery of binary neutron star (BNS) merger
GW170817 showed that $\gamma$-ray emission in short GRBs is wider than the
central energetic narrow cone, and weakly expands out to tens of degrees. Here
we explore some of the observational consequences of this structured emission,
taking the reconstructed angular emission profile of gamma-ray burst GRB170817A
to be typical. We calculate the expected fraction of gravitational-wave
observations from BNS mergers that will have an observed GRB counterpart to be
$\sim30\%$, implying that joint gravitational-wave and GRB observations will be
common. Further, we find that $\sim10\%$ of observed short GRBs occur within
200 Mpc. Finally, we estimate a BNS merger rate of $\sim500$
Gpc$^{-3}$yr$^{-1}$.
