Within the photo-thermoelastic theory, a stochastic photoacoustic half-space problem with a white noise effect is considered. A novel model under the effect of acoustic pressure during thermo-plasma-mechanical processes is studied. The normal mode analysis method for the two-dimensional (2D) problem is employed to get the solution in the spacetime domain with analytical expressions of the main quantities under deliberation. Two types of solutions were considered “stochastic and deterministic" for all physical quantities under investigation. Due to the optical, acoustic, and heat transfer properties, the stochastic processes are obtained by introducing the random functions of the basic fields. The mean and variance were derived analytically and discussed for all distributions. Numerical computations for copper semiconductor material are done, and the results are displayed graphically.