19. An actuary studying the insurance preferences of homeowners in a region that is prone to earthquakes, hurricanes, and floods has discovered that, for each of these perils, the probability is 0.2 that a homeowner, selected randomly, has purchased coverage only for that peril. Moreover, she has observed that, for any two of the perils, the probability is 0.14 that the homeowner has purchased coverage for exactly those two perils.

If one-third of the homeowners who have purchased a policy that covers earthquakes and hurricanes also purchased flood insurance, what percentage of homeowners did not purchase a policy that covered any of these perils?