Biblomancy (John made up the word) is using the Bible for fortune telling. People ask a question, open the Bible, and blindly select a verse expecting an answer to their question. This is a misuse of the Bible since God is not a slot machine that responds when you insert a quarter and pull his arm. Why do people do this, other than it's easier than rooting around in a sheep's entrails? It probably stems from not understanding what is meant when the Bible is used to "hear God's word."
"Hearing God's word" is Christian-speak/slang for getting a message from the Lord. He communicates with us many different ways, ranging from actually speaking to us (check your Bible- that's usually a significant emotional event), to angelic messenger (another significant emotional event) to dreams to your conscience to hearing Him "speak" through others....you get the idea. Prayerful reading of the Bible is how most Christians most intimately encounter the personality and will of the living God- don't ask me how the Holy Spirit does it, He just does.
You can see how that prayerful ability to open the Bible and know the omnipotent, omnipresent God, Lord of all that is, seen and unseen, could easily be corrupted into a cheap magic trick. Biblomancy deprives the reader from "hearing God's word" because the reader has gone to the Bible entirely focused on him or her self. It can also be a form of idolatry in which a book made of paper is assumed to be an agent of Godly power. The Bible is there for communication with God, but on His terms.
More on this topic later...
Lastly, because I can't get the song out of my head, here it is: A Message From The Lord by Veggie Tales.
BTW- The person filming the clip smacked her little brother because he was interupting her. Listen for his "ow!"