Probability Density is not defined for discrete distributions.
Not every probability distribution has a density function: the distributions of discrete random variables do not; nor does the Cantor distribution, even though it has no discrete component, i.e., does not assign positive probability to any individual point.
and
If a probability distribution admits a density, then the probability of every one-point set {a} is zero; the same holds for finite and countable sets.
This implies that you are asking to calculate something which is not defined, or else that your calculation is incorrect, perhaps attempting to sample the counts at a point rather than over a range.
