  I investigate the possibility of condensation in ideal Fermi systems of
general single particle density of states. For this I calculate the probability
$w_{N_0}$ of having exactly $N_0$ particles in the condensate and analyze its
maxima. The existence of such maxima at macroscopic values of $N_0$ indicates a
condensate. An interesting situation occurs for example in 1D systems, where
$w_{N_0}$ may have two maxima. One is at $N_0=0$ and another one may exist at
finite $N_0$ (for temperatures bellow a certain condensation temperature). This
suggests the existence of a first order phase transition. % The calculation of
$w_{N_0}$ allows for the exploration of ensemble equivalence of Fermi systems
from a new perspective.
