This paper studies probabilistic versions of degenerate Fubini polynomials and their order r counterparts associated with a random variable Y. The moment generating function of Y is assumed to exist in a neighborhood of the origin. The paper derives properties, explicit expressions, identities, and recurrence relations for these polynomials. Special cases of Y include the gamma, Poisson, and Bernoulli random variables. The paper introduces probabilistic degenerate Fubini polynomials associated with Y, denoted $ F_{n,\lambda}^Y(x) $, and derives explicit expressions and identities for them. For the gamma random variable with parameters $ \alpha, \beta > 0 $, the polynomials are expressed in terms of Lah numbers and Stirling numbers of the first kind. The paper also considers the probabilistic degenerate Fubini polynomials of order r and derives their explicit expressions and recurrence relations. The paper shows that the polynomials can be represented as integrals and provides identities involving the polynomials and their derivatives. It also shows that for the Poisson random variable with parameter $ \alpha $, the polynomials can be expressed in terms of Fubini polynomials and degenerate Stirling numbers. Finally, it shows that for the Bernoulli random variable with probability of success p, the polynomials are related to the degenerate Fubini polynomials. The paper also defines and studies probabilistic degenerate Bell polynomials associated with Y.This paper studies probabilistic versions of degenerate Fubini polynomials and their order r counterparts associated with a random variable Y. The moment generating function of Y is assumed to exist in a neighborhood of the origin. The paper derives properties, explicit expressions, identities, and recurrence relations for these polynomials. Special cases of Y include the gamma, Poisson, and Bernoulli random variables. The paper introduces probabilistic degenerate Fubini polynomials associated with Y, denoted $ F_{n,\lambda}^Y(x) $, and derives explicit expressions and identities for them. For the gamma random variable with parameters $ \alpha, \beta > 0 $, the polynomials are expressed in terms of Lah numbers and Stirling numbers of the first kind. The paper also considers the probabilistic degenerate Fubini polynomials of order r and derives their explicit expressions and recurrence relations. The paper shows that the polynomials can be represented as integrals and provides identities involving the polynomials and their derivatives. It also shows that for the Poisson random variable with parameter $ \alpha $, the polynomials can be expressed in terms of Fubini polynomials and degenerate Stirling numbers. Finally, it shows that for the Bernoulli random variable with probability of success p, the polynomials are related to the degenerate Fubini polynomials. The paper also defines and studies probabilistic degenerate Bell polynomials associated with Y.