The Sombor indices, a new category of degree-based topological molecular
descriptors, havebeen widely investigated due to their excellent
chemical applicability. This paper aims to establishSombor indices
distributions in random polygonal chain networks and to achieve
expressions of theexpected values and variances. The expected values and
variances of the Sombor indices for polyonino,pentachain, polyphenyl,
and cyclooctane chains are obtained. Since the end connection of a
randomchain network follows a binomial distribution, the Sombor indices
of any chain network follow the normaldistribution when the number of
polygons connected by the chain, indicated by n, approaches infinity.