Part of what I work on involves sequential product multinomials, and analysis of same. In papers, or lectures, it is often useful to describe the underlying probability structure uing what we call a 'fate diagram', which, typically, is 'read' from left to right (left-most node, individual flips a coin, which may be multinomial, and follows a path based on said flip. Individual then enter a state, where gets a new coin, which is it flips, and so on...). So, a diagram starting (typically) from a single node, and then quickly branching.
To date, I've been generating these sorts of diagrams external to *TeX, using a dedicated graphics packages, but I'd like to see if there is a way I can generate those diagrams with *TeX itself. I don't have a MWE, but can provide a pointer to a graphic for a very rudimentary example of what I'm trying to 'draw':
The challenge is the asymmetric 'branching' I often need (on the right). This is analogous to phylogenetic trees, but I haven't been able to figure out how to arm-twist any of the packages/approaches I've found to give me the sort of thing I'm looking for.
Any suggestions appreciated -- even a simple code example render 'my example' in *TeX would be great. Tikz, PSTricks, pgfplots -- doesn't really matter much (I have no significant allegiance to any one over the other).
Thanks in advance...