EPA's Citizen's Guide is direct: any home may have a radon problem. Answering the myth that radon only affects certain kinds of homes, it says house construction can affect radon levels, but radon can be a problem in homes of all types, and that local geology, construction materials, and how the home was built are among the factors that can affect radon levels in homes.
What homes usually have radon? All of them have some: CDC says all outdoor and indoor air has some radon in it. What varies is the level. The Citizen's Guide says nearly 1 out of every 15 homes in the U.S. is estimated to have elevated radon levels, and the National Cancer Institute says basement and first floors typically have the highest radon levels because of their closeness to the ground.
What to do next: test your own home rather than judging it by its type or its neighbors, starting with the lowest lived-in level, and look up your county's zone on the radon map.
