  This note treats a simple minded question: what does a typical random matrix
range look like? We study the relationship between various modes of convergence
for tuples of operators, on the one hand, and continuity of matrix ranges with
respect to the Hausdorff metric, on the other. In particular, we show that the
matrix range of a tuple generating a continuous field of C*-algebras is
continuous in the sense that every level is continuous in the Hausdorff metric.
Using this observation together with known results on strong convergence in
distribution of matrix ensembles, we identify the limit matrix ranges to which
the matrix ranges of independent Wigner or Haar ensembles converge.
