Probabilistic or stochastic programming is concerned with optimization problem in which some or all parameters are treated as random variable. A general approach to deal with uncertainty is to assign a probability distribution to the unknown parameter. In this paper a multi-objective probabilistic programming problem has been considered when right hand side vector follows Weibull distribution. The probabilistic problem is converted into an equivalent deterministic model, and is solved using LINGO software. A numerical is presented to illustrate the methodology.