  In 2008, Spivey found a recurrence relation for the Bell numbers. We consider
the probabilistic r-Bell polynomials associated with which are a probabilistic
extension of the r-Bell polynomials. Here Y is a random variable whose moment
generating function exists in some neighborhood of the origin . The aim of this
paper is to generalize the relation for the Bell numbers to that for the
probabilistic r-Bell polynomials associated with Y.
