Exoplanet detection and its dependence on stochastic sampling of the
  stellar Initial Mass Function
  Young Moving Groups (YMGs) are close (<100pc), coherent collections of young
(<100Myr) stars that appear to have formed in the same star-forming molecular
cloud. As such we would expect their individual initial mass functions (IMFs)
to be similar to other star-forming regions, and by extension the Galactic
field. Their close proximity to the Sun and their young ages means that YMGs
are promising locations to search for young forming exoplanets. However, due to
their low numbers of stars, stochastic sampling of the IMF means their stellar
populations could vary significantly. We determine the range of planet-hosting
stars (spectral types A, G and M) possible from sampling the IMF multiple
times, and find that some YMGs appear deficient in M-dwarfs. We then use these
data to show that the expected probability of detecting terrestrial magma ocean
planets is highly dependent on the exact numbers of stars produced through
stochastic sampling of the IMF.
