The ancient athenians knew this. A process similar to powerball determined who would be a member of the legislature. This can be applied even to large nations, such as Canada or US, and at all levels of the govt (city, county, state/province, national). To ensure the political beliefs of the nation, the census forms could contain political ideologies, specific enough not to be blanket Republican/Democrat. A weighted lottery based off the percentage of citizens who believe a certain way (political ideology) would better match the national views, having seats in Congress proportional to each ideology. Further, no campaign money need be spent as it is a lottery like a jury.