The decays Y(4S) --> <B(B)over bar>, followed by B --> Dpi and D* -->
D pi, permit reconstruction of all kinematic quantities that describe
the sequence without reconstruction of the D, with reasonably low bac
kgrounds. Using an integrated e(+)e(-) luminosity of 3.1 fb(-1) accumu
lated at the Y(4S) by the CLEO-II Il detector, we report measurements
of B((B) over bar(0) --> D(+)pi(-)) = (2.81 +/- 0.11 +/- 0.21 +/- 0.0
5) x 10(-3) and B(B- --> D(0) pi(-)) = (4.34 +/- 0.33 +/- 0.34 +/- 0.
18) x 10(-3).