Flavor-Specific Inclusive<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">B</mml:mi></mml:math>Decays to Charm

We have measured the branching fractions for $B\ensuremath{\rightarrow}\overline{D}X$, $B\ensuremath{\rightarrow}\mathrm{DX}$, and $B\ensuremath{\rightarrow}\overline{D}X{\ensuremath{\ell}}^{+}\ensuremath{\nu}$. From these results and some previously measured branching fractions, we obtain $B(b\ensuremath{\rightarrow}c\overline{c}s)\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}(21.9\ifmmode\pm\else\textpm\fi{}3.7)%$, $B(b\ensuremath{\rightarrow}\mathrm{sg})&lt;6.8%$ at 90% C.L., and $B({D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+})\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}(3.69\ifmmode\pm\else\textpm\fi{}0.20)%$. Implications for the `` $B$ semileptonic decay problem'' (measured branching fraction being below theoretical expectations) are discussed. With the increase in the value of $B(b\ensuremath{\rightarrow}c\overline{c}s)$ due to $B\ensuremath{\rightarrow}\mathrm{DX}$, the discrepancy is no longer statistically compelling.