  We point out that the long-standing strong CP problem may be resolved by an
anthropic argument. The key ideas are: (i) to allow explicit breaking(s) of the
Peccei-Quinn symmetry which reduces the strong CP problem to the cosmological
constant problem, and (ii) to conjecture that the probability distribution of
the vacuum energy has a mild pressure towards higher values. The cosmological
problems of the (s)axion with a large Peccei-Quinn scale are absent in our
mechanism, since the axion acquires a large mass from the explicit breaking.
