  The electroweak CP violating rate asymmetries in the decay $b \to d l^+ l^-$
are reexamined in detail and updated. In particular, the rate asymmetries are
studied when one of the final state leptons is polarised. We find an estimate
for the asymmetry of (5-15)% in the polarised decay spectrum which is close to
known results for the unpolarised case. Interestingly, in the region separating
the $\rho-\omega$ and $c \bar c$ resonances, which is also theoretically
cleanest, the polarised contribution to the asymmetry is larger than the
unpolarised result. A $3\sigma$ signal for direct CP violation, requires about
10^{10} $B \bar B$ pairs at a B factory. In general these results indicate an
asymmetric contribution from the individual polarisation states to the
unpolarised CP asymmetry; an atribute for any new physics searches.
