The bible: my summary
The bible is an important piece of literature, whose quotes are widely used in our culture. A compilation written by scores of authors, with differing viewpoints, beliefs, and agendas, it has some overarching themes, like rules for organization of social life, and justice. Many people find parts of it very beautiful, like the parables of Jesus. Many people attach special importance to it because they believe it to be inspired in some manner by their deity.
After I wrote the above, I checked out wikipedia's bible entry. I had understood that the bible wasn't a cut and dried document, but actually reading about the story is fascinating!
The Deuterocanonical books are "extra" OT books not found in the Hebrew Bible (and I read to my chagrin that the 'Hebrew Bible' contains the 'Torah' and is not a synonym for it, oops.)
The (New Testament) Apocrypha are "suppressed" books, from wikipedia: "Obedient Christians were warned away from these works now termed apocryphal, many of which were vigorously suppressed and survive only as fragments." The entries for Apocrypha & Deuterocanonical books contain links to each book in question, a veritable wealth of information.
The entry on the Biblical Canon touches on not only which books make up the Jewish and Christian bibles, but which version of each book is deemed proper.
It appears that it is true that the seemingly simple question "which bible?" can take a book's worth of information to fully answer.