  We recalculate the diffuse flux of high energy neutrinos produced by Gamma
Ray Bursts (GRB) in the relativistic fireball model. Although we confirm that
the average single burst produces only ~10^{-2} high energy neutrino events in
a detector with 1 km^2 effective area, i.e. about 10 events per year, we show
that the observed rate is dominated by burst-to-burst fluctuations which are
very large. We find event rates that are expected to be larger by one order of
magnitude, likely more, which are dominated by a few very bright bursts. This
greatly simplifies their detection.
