First of all, xhomerx10 is my new favorite user OF ALL TIME for using the most legendary reference system EVER!

Second of all, great explanation. I kinda get how "luck" isn't the traditional luck we all know and associate with four leaf clovers and rabbits feet.

6) Is it correct to define a mining pools luck as: mining pools efficiency in comparison to an ideal hashing of a block?
7) How is blocks allocated to different pools/miners, who/what makes sure that two miners arent hashing the same part of a block?

Sorry for getting a bit more complicated with the questions, but this is really interesting stuff and you guys are great teachers.