We present new CDF results on the branching fractions and
time-integrated direct CP asymmetries for B0 and B0(s) decay modes into
pairs of charmless charged hadrons (pi+ons or kaons).  The data-set for this
update amounts to fb-1 of p anti-p collisions at a center of mass energy 1.96
TeV.  We report the first observation of the B0(s) --> K- pi++ mode and a
measurement of its branching fraction an direct CP asymmetry.  We also
observe for the first time two charmless decays of the Lambda_b-baryon:
Lambda0(b) --> p pi+- and Lambda0(b) --> pK-.