Natural density of rank-$2$ Drinfeld modules with big Galois image

In this paper, we compute the natural density of rank-$1$ Drinfeld module over Fq[T] with surjective adelic Galois representation; and the natural density of rank-$2$ Drinfeld modules over Fq[T] whose l-adic Galois image containing the special linear subgroup for finitely many prime ideal l.