Accidents happen, yes, but nuclear is still arguably the safest (deaths/TWh) form of energy on the planet: http://www.forbes.com/sites/ja... Even wind, hydro and solar are more dangerous.
If left to market forces, and not state planners, the markets would not build nuclear power plants. Nuclear power is Hooked on Subsidies. Notice how that is a CATO Institute reprint of a "Forbes" article first published on November 26, 2007. And in case you don't know what CATO is, from their about page "The Cato Institute is a public policy research organization — a think tank – dedicated to the principles of individual liberty, limited government, free markets and peace. Its scholars and analysts conduct independent, nonpartisan research on a wide range of policy issues."