  The principle of non-violation of "information causality", has been proposed
as one of the foundational properties of nature\cite{nature}. The main goal of
the paper is to explore the gap between quantum mechanical correlations and
those allowed by "information causality" in the context of local randomness by
using Cabello's nonlocality argument. This is interesting because the gap is
slightly different than in the context of Hardy's similar nonlocality
argument\cite{gazi}
