  Word $W$ is an instance of word $V$ provided there is a homomorphism $\phi$
mapping letters to nonempty words so that $\phi(V) = W$. For example, taking
$\phi$ such that $\phi(c)=fr$, $\phi(o)=e$ and $\phi(l)=zer$, we see that
"freezer" is an instance of "cool".
  Let $\mathbb{I}_n(V,[q])$ be the probability that a random length $n$ word on
the alphabet $[q] = \{1,2,\cdots q\}$ is an instance of $V$. Having previously
shown that $\lim_{n \rightarrow \infty} \mathbb{I}_n(V,[q])$ exists, we now
calculate this limit for two Zimin words, $Z_2 = aba$ and $Z_3 = abacaba$.
