  For certain primes $p$, the average digit in the expansion of $1/p$ was found
to have a deviation from random behaviour related to the class number of the
imaginary quadratic field $\mathbb{Q}(\sqrt{-p})$ (Girstmair 1994). In this
short note, we observe that for the corresponding problem when we replace the
integers by polynomials over a finite field, there is never any bias. The
argument is elementary.
