  We study the large fluctuations of emitted radiations in the system of $N$
non-interacting two-level atoms. Two methods are used to calculate the
probability of the large fluctuations and the time dependence of the excitation
and emission. The first method is based on the large deviation principle for
Markov processes. The second one uses an analogue of the quantum formalism for
classical probability problems. Particularly we prove that in a large
fluctuation limit approximately a half of the atoms are excited. This fact is
independent on the fraction of the excited atoms in the stationary state.
