Collider signatures containing bosons and b quarks are particularly
interesting.  The final state containing a Z or W boson and one or
more b-jets is a promising Higgs search channel at the Tevatron and
could be a window to new physics at the LHC.  The top quark decays to
a W and a b nearly 100% of the time; studies of top production and
decay benefit from understanding the W+b signature in detail.  The
photon+b-jet final state offers the possiblitiy to observe a signature
of supersymmetry.  Each of these boson and b quark signatures
is shared by a more mundane production mechanisms: simple electroweak
production of a W/Z/gamma in events with QCD production of b's.  These
common topologies have received much recent attention and perturbative
QCD (pQCD) calculations have been made to predict the cross sections
and kinematics for such events.  Direct studies of these processes in
the data offer the opportunity to check the precision of the
leading-order and next-to-leading-order pQCD predictions.  In this talk we
present the latest CDF results on b-jets produced in events containing
a single boson, W/Z/gamma.  These results are compared to available
predictions form theory in the hopes of refining our understanding of
these processes.  The relevance of these studies goes beyond the
Tevatron, since the insight gained on these production mechanisms will
be useful in building improved models for such events at the LHC.