  In the article a test is developed, which allows to test the null-hypothesis
of the intrinsic randomness in the angular distribution of gamma-ray bursts
collected at the Current BATSE Catalog. The method is a modified version of the
well-known counts-in-cells test, and fully eliminates the non-uniform
sky-exposure function of BATSE instrument. Applying this method to the case of
all gamma-ray bursts no intrinsic non-randomness is found. The test also did
not find intrinsic non-randomnesses for the short and long gamma-ray bursts,
respectively. On the other hand, using the method to the new intermediate
subclass of gamma-ray bursts, the null-hypothesis of the intrinsic randomness
for 181 intermediate gamma-ray bursts is rejected on the 96.4% confidence
level. Taking 92 dimmer bursts from this subclass itself, we obtain the
surprising result: This "dim" subclass of the intermediate subclass has an
intrinsic non-randomness on the 99.3% confidence level. On the other hand, the
89 "bright" bursts show no intrinsic non-randomness.
