  We determine the joint probability density function (JPDF) of reflection
eigenvalues in three Dyson's ensembles of normal-conducting chaotic cavities
coupled to the outside world through both ballistic and tunnel point contacts.
Expressing the JPDF in terms of hypergeometric functions of matrix arguments
(labeled by the Dyson index $\beta$), we further show that reflection
eigenvalues form a determinantal ensemble at $\beta=2$ and a new type of a
Pfaffian ensemble at $\beta=4$. As an application, we derive a simple analytic
expression for the concurrence distribution describing production of orbitally
entangled electrons in chaotic cavities with tunnel point contacts when time
reversal symmetry is preserved.
