  Assume that Y is a random variable whose moment generating function exists in
a neighborhood of the origin. We study the probabilistic degenerate r-Stirling
numbers of the second kind associated with Y and the probabilistic degenerate
r-Bell polynomials associated with Y. They are respectively probabilistic
extensions of the degenerate r-Stirling numbers of the second and the
degenerate r-Bell polynomials which are studied earlier. The aim of this paper
is to obtain their properties, explicit expressions and related identities by
means of generating functions.
