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Using a sample of $9.7\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ meson pairs collected with the CLEO detector, we study B decays to the ${\ensuremath{\chi}}_{c1}$ and ${\ensuremath{\chi}}_{c2}$ charmonia states, which are reconstructed via their radiative decays to $J/\ensuremath{\psi}.$ We first measure the branching fraction for inclusive ${\ensuremath{\chi}}_{c1}$ production in B decays to be $\mathcal{B}(\stackrel{\ensuremath{\rightarrow}}{B}{\ensuremath{\chi}}_{c1}X)=(4.14\ifmmode\pm\else\textpm\fi{}0.31\ifmmode\pm\else\textpm\fi{}0.40)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3},$ where …