> Since numbers are infinite and the ways we can manipulate them are infinite (or at least large) doesn't it mean that unlikely or strange things happen all the time?
They do. If you haven't seen it already I can recommend a movie about this topic. It can be enojyed for other reasons as well.
Pi: "A paranoid mathematician searches for a key number that will unlock the universal patterns found in nature."http://www.imdb.com/title/tt0138704/
I like the movie, it deserves its fame, but there are some errors in the script that could have been easily avoided. For example, at one point a character says something to the effect of, "Surely they've printed out every 216-digit number?" No, not likely. :)
They do. If you haven't seen it already I can recommend a movie about this topic. It can be enojyed for other reasons as well.
Pi: "A paranoid mathematician searches for a key number that will unlock the universal patterns found in nature." http://www.imdb.com/title/tt0138704/