Massachusetts Institute of Technology: Srini Devadas and Eric Lehman's "Introduction to Probability"
Read up to Section 1.3. Look at the line drawings beginning in Section 1.3 and in following sections; these are possibility trees. Realize that they are just representations of functions used in modeling a problem. Note the modeling advice and steps 1 - 4 on pages 1 - 9.
Multiplication often applies to each level of the tree, i.e. each node at level 1 is expanded (multiplied) by the same number of branches at level 2, and so on, for each level. If the outcomes of an event for a probability problem are modeled using a tree is called a possibility tree.