  In the context of open inflation, we calculate the probability distribution
for the density parameter $\Omega$. A large class of two field models of open
inflation do not lead to infinite open universes, but to an ensemble of
inflating islands of finite size, or ``quasi-open'' universes, where the
density parameter takes a range of values. Assuming we are typical observers,
the models make definite predictions for the value $\Omega$ we are most likely
to observe. When compared with observations, these predictions can be used to
constrain the parameters of the models. We also argue that obsevers should not
be surprised to find themselves living at the time when curvature is about to
dominate.
