each of these in a little bit more detail and describe exactly what the advantages and disadvantages of them are and why you might want to be in one branch of the tree or another so first fully visible belief networks are the most mathematically straightforward they use the chain rule of probability to decompose the probability distribution over a vector into a product over each of the members of the vector we write down a probability distribution for the distribution over X 1 and then we multiply that by the distribution over X