In this paper, we consider a multiobjective linear programming problem involving fuzzy random variable coefficients. Introducing a fuzzy goal for each objective function, we focus on a degree of possibility that each objective function satisfies the corresponding fuzzy goal. Since the degree of possibility varies randomly, we formulate the multiobjective problem to minimize the variances of degrees of possibility based on stochastic programming. In order to find a satisficing solution for a decision maker, we propose an interactive satisficing method based on the reference point method.