The critical load of a structure is subject to a probabilistic scatter when it is modeled as a function of several random imperfections. For structures with dihedral group symmetry, this chapter offers a procedure to obtain the probability density function of the critical load. The procedure for simple critical points in Chap. 5 is extended to double bifurcation points that appear in these structures. The present procedure is applied to truss structures and cylindrical specimens of sand and concrete. Chapters 7 – 10 are foundations of this chapter.