As a sibling comment pointed out, you may have selected a poor example there.
However, you raise a good point with the Fukushima and Chernobyl examples. It's not hard to imagine that if we had, globally, built nuclear power plants as enthusiastically as we have coal power plants, there would likely have been a lot more serious incidents. It's a sobering thought for my usually rose-tinted view of nuclear.
While I could probably have found a more dramatic reference, this one[1] is a bit more calm saying that the risks of adverse health affects from radiation exposure from coal vs nuclear are, in both cases, very slim. It would seem, then, that coal would have other negative health affects before the radiation exposure aspect became a problem. You have to live extraordinarily close to either a coal or nuclear plant to have higher than background radiation exposure from either, under normal operating conditions.
1. https://www.scientificamerican.com/article/coal-ash-is-more-...