  This paper primarily provides an equidistribution result of zeros of systems
of random holomorphic sections associated with a sequence of positive Hermitian
holomorphic line bundles on a compact K\"{a}hler manifold $X$ by using variance
estimate and expected distribution of random zero currents of integration in
any codimension $k$. The probability measures taken into consideration in this
paper are only subject to a moment condition that is sufficiently general to
include a wide range of the measures commonly encountered in the literature. In
particular, we also give equidistribution results for several known measures
such as Gaussian, Fubini-Study measures, area measure of spheres, probability
measures whose distributions have bounded densities with logarithmically
decaying tails and locally moderate measures among others.
