  Decay rates of the positronium molecule $\text{Ps}_{2}$ into two photons and
into an electron-positron pair are determined. Previous studies find that these
rates are very different, \[ \Gamma\left(\text{Ps}_{2}\to
e^{+}e^{-}\right)/\Gamma\left(\text{Ps}_{2}\to\gamma\gamma\right)\simeq250\text{
(previous studies)}. \] This is puzzling since both processes have two body
final states and are of the same order in the fine structure constant. We
propose a simple calculational method and test it with the well-established
decay of the positronium ion into an electron and a photon. We then employ it
to correct predictions for both these $\text{Ps}_{2}$ decays. We find that
previous studies overestimated the $e^{+}e^{-}$ and underestimated the
$\gamma\gamma$ channel by factors of about 5.44 and 3.93 respectively. Our
results give $\Gamma\left(\text{Ps}_2\to
  e^+e^-\right)/\Gamma\left(\text{Ps}_2 \to \gamma\gamma\right) \simeq 11.7$.
