  The relatively clean theoretical probes of the Standard Model (SM), and the
various theories beyond the SM, provided by radiative, semi-leptonic and
(purely) leptonic decays of B-mesons have become increasingly important. Due to
the large number of possible distributions in the semi-leptonic decays based on
the quark level transition $b \to s \ell^+ \ell^-$ (not just the branching
ratio), these transitions have become very useful. A study of the
Forward-Backward asymmetries for the inclusive decay ($B \to X_s \ell^+
\ell^-$) is carried out in this paper. This study shall be performed in the SM
and a minimal supersymmetric extensions of the SM, namely the mSUGRA model.
