Polyphenyls and their derivatives, which are used in heat exchangers, drug synthesis, organic synthesis, and so on, have attracted the attention of researchers in various fields for many years. In this paper, we determine the expected values of the augmented Zagreb and arithmetic-geometric indices for this class of conjugated hydrocarbons. The comparisons between the expected values of these indices concerning the random polyphenyl chains have been determined explicitly. The graphical illustrations have been given in terms of the differences between the expected values of these indices.
