  We discuss a possibility to probe right-handed weak hadronic currents in rare
semileptonic b -> s transitions. It is shown that within models involving
right-handed as well as left-handed quark currents (LR models) one can expect a
strong enhancement of the right-handed K* production in B -> K* l+ l- decays
compared with models including only left-handed quark currents (SM, MSSM).
Hence an experimental study of the transverse asymmetry of the produced K*
mesons provides a clear test of the presence of the right-handed quark currents
and a possibiltity to discriminate between the MSSM and LR extentions of the
SM. At the same time, MSSM and LR models are found to yield qualitatively the
same type of deviations from the SM in the forward-backward and the
longitudinal lepton polarization asymmetries.
