  The theory of Frobenius groups with Frobenius complements of even order
largely reduces to tractable algebraic number theory. If we consider only
Frobenius complements with an upper bound $s$ on the number of distinct primes
dividing the order of their commutator subgroups, then the proportion of these
with odd order is less than $1/2^{s}$. A positive lower bound is also given.
