This paper generalizes Spivey's recurrence relation for Bell numbers to probabilistic r-Bell polynomials associated with a random variable Y. Spivey found a recurrence relation for Bell numbers, which are a special case of Bell polynomials. The paper introduces probabilistic r-Bell polynomials, which are a probabilistic extension of r-Bell polynomials. These polynomials are defined using probabilistic r-Stirling numbers of the second kind, which are extensions of the classical r-Stirling numbers. The paper derives a recurrence relation for the probabilistic r-Bell polynomials associated with Y, which generalizes Spivey's result. The recurrence relation involves expectations of powers of sums of independent copies of Y and is expressed in terms of probabilistic r-Bell polynomials. The paper also provides generating functions for these polynomials and shows how they relate to the classical Bell polynomials. The results are derived using properties of generating functions, expectations, and combinatorial identities. The paper concludes with a recurrence relation for the probabilistic r-Bell polynomials, which extends Spivey's result to the probabilistic setting.This paper generalizes Spivey's recurrence relation for Bell numbers to probabilistic r-Bell polynomials associated with a random variable Y. Spivey found a recurrence relation for Bell numbers, which are a special case of Bell polynomials. The paper introduces probabilistic r-Bell polynomials, which are a probabilistic extension of r-Bell polynomials. These polynomials are defined using probabilistic r-Stirling numbers of the second kind, which are extensions of the classical r-Stirling numbers. The paper derives a recurrence relation for the probabilistic r-Bell polynomials associated with Y, which generalizes Spivey's result. The recurrence relation involves expectations of powers of sums of independent copies of Y and is expressed in terms of probabilistic r-Bell polynomials. The paper also provides generating functions for these polynomials and shows how they relate to the classical Bell polynomials. The results are derived using properties of generating functions, expectations, and combinatorial identities. The paper concludes with a recurrence relation for the probabilistic r-Bell polynomials, which extends Spivey's result to the probabilistic setting.