I think you were downvoted (not by me) because your questions, except for the one about strange attractors, are about basic topics in probability theory. So yo

I think you were downvoted (not by me) because your questions, except for the one about strange attractors, are about basic topics in probability theory. So you should probably read a book or take a class. The one about strange attractors is more interesting and maybe not studied enough, but you could look at https://en.wikipedia.org/wiki/El_Farol_Bar_problem https://en.wikipedia.org/wiki/El_Farol_Bar_problem for a related example.