The debate between reductionist and non-reductionist accounts of chance is presented, and the dialectical burdens acquired by each side of the debate are identified: the motivation problem and the explanation problem. It is argued that, whilethe motivation problem presents no challenge to non-reductionists, reductionists are unable successfully to answer it. Contrary to what has been suggested, both sides share the burden of the explanation problem. It is argued that non- eductionists can successfully answer it, whereas reductionists are unable to make the corresponding claim. Hence, the non-reductionist side has an important dialectical advantage.