This is a simplified form of Dominion Set Generator that has a button for generating card distribution stats but removes a lot of the tweakable settings. It was inspired by code from Matt E. (LastFootnote) and an ensuing discussion on dominionstrategy.com.
Click on "Generate Stats" and the generator will attempt to generate a lot of kingdoms (currently 200). This can take a long time (if you can read the javascript console log it will display some progress -- on my computer it takes about 1 second to generate 10 kingdoms). It will then display a list of how frequently each card was picked.