A method on how to take into account pump statistics and spontaneous a
tomic decays when calculating the photon-number distribution of lasers
in photon-number representation is presented. The intracavity phonon-
number and extracavity photocount distributions with binomial pump and
spontaneous atomic decays are calculated. In two Limit cases, the res
ults of calculations transit respectively to the photon-number distrib
utions of systems with common Poissonian pump and regular pump, and bo
th with the spontaneous atomic decays being suppressed.