It is now accepted that within the Standard Model of particles the evaporat
ing primordial black holes cannot produce the detectable gamma-ray bursts b
ecause the expected photon flux from black-hole explosions is too weak, and
consists mainly of GeV photons. Contrary to this verdict, we put forward a
scenario, in which a large fraction of black-hole power is converted into
the photon luminosity in the MeV spectral range, producing a burst of durat
ion 10(-1) - 10(3) s. We show that some of the gamma-ray bursts detected by
BATSE can be associated with evaporating black holes.