  We determine the starspot detection rate in exoplanetary transit light curves
for M and K dwarf stars observed by the Transiting Exoplanet Survey Satellite
(TESS) using various starspot filling factors and starspot distributions. We
used $3.6\times10^9$ simulations of planetary transits around spotted stars
using the transit-starspot model \prism. The simulations cover a range of
starspot filling factors using one of three distributions: uniform,
polar-biased, and mid-latitude. After construction of the stellar disc and
starspots, we checked the transit cord for starspots and examined the change in
flux of each starspot to determine whether or not a starspot anomaly would be
detected. The results were then compared to predicted planetary detections for
TESS. The results show that for the case of a uniform starspot distribution,
$64\pm9$ M dwarf and $23\pm4$ K dwarf transit light curves observed by TESS
will contain a starspot anomaly. This reduces to $37\pm6$ M dwarf and $12\pm2$
K dwarf light curves for a polar-biased distribution and $47\pm7$ M dwarf and
$21\pm4$ K dwarf light curves for a mid-latitude distribution. Currently there
are only 17 M dwarf and 10 K dwarf confirmed planetary systems from TESS, none
of which are confirmed as showing starspot anomalies. All three starspot
distributions can explain the current trend. However, with such a small sample,
a firm conclusion can not be made at present. In the coming years when more
TESS M and K dwarf exoplanetary systems have been detected and characterised,
it will be possible to determine the dominant starspot distribution.
