The transport of radiation through a random array of purely absorbing slabs is considered assuming that the cross section of the slabs fluctuates according to binomial statistics. An exact solution is constructed for the transmission factor through N slabs and the mean value and variance calculated. It is also shown how the complete probability distribution may be recovered. The results are extended to the case of two different types of slab material and thickness and also to the case where the slab thickness is random subject to a constant total thickness of the system. Simple results are obtained and these are compared with the solution of an analogous problem using the dichotomic Markov process method favored by Pomraning and his co-workers. No particular conclusions are drawn regarding the relative merits of these two statistics and the matter is left open for futher discussion.