A "lucky break" is more likely to come along if you keep at it for a decade than if you give up after the first non-successful year.
I think skill comes in two forms: The skill of making something that people want to use, but also the skill of recognizing and making the most out of "lucky breaks".
http://www.inc.com/magazine/20050101/lucky-or-smart_Printer_...
Twitter's emergence from Odeo is pretty similar to Tripod's switch from an advice site to a homepage builder.
A lot of the success of agile businesses and the whole mvp product strategy could be explained by the fact that it embraces the possibility of randomness and unexpected outcomes rather than ignoring it completely.
I could be wrong, but my impression is that wealthy businessmen are somewhat less willing to admit the role of luck than famous scientists are. Due to real differences in the role of luck in the two areas? Due to political considerations (the implications of admitting that wealth disparities aren't all due to merit are more political than the implications of admitting that scientific fame isn't purely due to merit)? Due to the self-deprecating scientists being humbler personalities? Dunno. And I could be wrong on the aggregate difference; I haven't done a survey or anything.