  We supplement a very recent paper of G. Markowsky concerned with the expected
exit times of Brownian motion from planar domains. Besides the use of conformal
mapping, we apply results from potential theory. We treat the case of a
wedge-shaped region exactly, subsuming an example of Markowsky. A number of
other results are presented, including for a half disc, $n$-grams, and a
variety of other regions.
