  We discuss recently generated high-temperature series expansions for the free
energy and the susceptibility of random-bond q-state Potts models on hypercubic
lattices. Using the star-graph expansion technique quenched disorder averages
can be calculated exactly for arbitrary uncorrelated coupling distributions
while keeping the disorder strength p as well as the dimension d as symbolic
parameters. We present analyses of the new series for the susceptibility of the
Ising (q=2) and 4-state Potts model in three dimensions up to order 19 and 18,
respectively, and compare our findings with results from field-theoretical
renormalization group studies and Monte Carlo simulations.
