  We show that the left (right) sample quantile tends to the left (right)
distribution quantile at p in [0,1], if the left and right quantiles are
identical at p. We show that the sample quantiles diverge almost surely
otherwise. The latter can be considered as a generalization of the well-known
result that the sum of a random sample of a fair coin with 1 denoting heads and
-1 denoting tails is 0 infinitely often. In the case that the sample quantiles
do not converge we show that the limsup is the right quantile and the liminf is
the left quantile.
