  Direct CP violation can exist in untagged B-meson decays to self-conjugate,
three-particle final states; it would be realized as a population asymmetry in
the untagged decay rate across the mirror line of the Dalitz plot of the
three-body decay. We explore the numerical size of this direct CP-violating
effect in a variety of B-meson decays to three pseudoscalar mesons; we show
that the resulting asymmetry is comparable to the partial rate asymmetry in the
analogous tagged decays, making the search for direct CP violation in the
untagged decay rate, for which greater statistics accrue, advantageous.
