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The LIGO and Virgo scientific collaboration (LVC) alerted two binary neutronstar (BNS) merger candidates, S190425z and S190426c. Fermi-GBM observed 55.6\%(for S190425z) and 100\% (for S190426c) of the probability regions of bothevents at the respective merger times, but no gamma-ray burst (GRB) wasdetected in either case. The derived luminosity upper limits suggest that ashort GRB similar to GRB 170817A would not be detectable for both cases due totheir larger distances than GW170817. Assuming that the jet profile obtainedfrom the GW170817/GRB 170817A is quasi-universal for all BNS-GRB associations,we derive that the viewing angles of S190425z and S190426c should be $>(0.11-0.41)$ and $> (0.09-0.39)$, respectively. Through Monte Carlosimulations, we show that with the GRB 170817A-like jet structure, all skygamma-ray detectors, such as GBM and GECAM, are expected to detect $\sim4.6\%$, $3.9\%$, $1.7\%$ and $6.6\%$, $5.7\%$, $2.8\%$ BNS mergers triggered byaLIGO, aLIGO A+ and ET, respectively. The joint detection fraction would belargely reduced for Swift-BAT, SVOM-ECLAIRS and Einstein Probe, whosesensitivities are better but fields of view are smaller.

Viewing angle constraints on S190425z and S190426c and the joint gravitational-wave/gamma-ray detection fractions for binary neutron star mergers