  We compute the uniform probability that finitely many polynomials over a
finite field are pairwise coprime and compare the result with the formula one
gets using the natural density as probability measure. It will turn out that
the formulas for the two considered probability measures asymptotically
coincide but differ in the exact values. Moreover, we calculate the natural
density of mutually left coprime polynomial matrices and compare the result
with the formula one gets using the uniform probability distribution. The
achieved estimations are not as precise as in the scalar case but again we can
show asymptotic coincidence.
