  Fix a positive integer $N$. Select an additive composition $\xi$ of $N$
uniformly out of $2^{N-1}$ possibilities. The interplay between the number of
parts in $\xi$ and the maximum part in $\xi$ is our focus. It is not surprising
that correlations $\rho(N)$ between these quantities are negative; we earlier
gave inconclusive evidence that $\lim_{N \to \infty} \rho(N)$ is strictly less
than zero. A proof of this result would imply asymptotic dependence. We now
retract our presumption in such an unforeseen outcome. Similar experimental
findings apply when $\xi$ is a 1-free composition, i.e., possessing only parts
$\geq 2$.
