Measurements of charmless hadronic two-body<i>B</i>meson decays and the ratio<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">B</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>D</mml:mi><mml:mi>K</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi mathvariant="script">B</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>D</mml:mi><mml:mi>π</mml:mi><mml:mo>)</mml:mo></mml:math>

We present final measurements of 13 charmless hadronic B decay modes from the CLEO experiment. The decay modes include the ten $\ensuremath{\pi}\ensuremath{\pi},$ $K\ensuremath{\pi},$ and KK final states and new limits on dibaryonic final states, $p\overline{p},$ $p\overline{\ensuremath{\Lambda}},$ and $\ensuremath{\Lambda}\overline{\ensuremath{\Lambda}},$ as well as a new determination of the ratio $\mathcal{B}(\stackrel{\ensuremath{\rightarrow}}{B}DK)/\mathcal{B}(\stackrel{\ensuremath{\rightarrow}}{B}D\ensuremath{\pi}).$ The results are based on the full CLEO II and CLEO III data samples totalling $15.3{\mathrm{fb}}^{\ensuremath{-}1}$ at the $\ensuremath{\Upsilon}(4S),$ and supercede previously published results.