  In this paper we discuss quantitative (pointwise) decay estimates for
solutions to the 3D cubic defocusing Nonlinear Schr\"odinger equation with
various initial data, deterministic and random. We show that nonlinear
solutions enjoy the same decay rate as the linear ones. The regularity
assumption on the initial data is much lower than in previous results (see
\cite{fan2021decay} and the references therein) and moreover we quantify the
decay, which is another novelty of this work. Furthermore, we show that the
(physical) randomization of the initial data can be used to replace the
$L^1$-data assumption (see \cite{fan2022note} for the necessity of the
$L^1$-data assumption). At last, we note that this method can be also applied
to derive decay estimates for other nonlinear dispersive equations.
