Bibliomancy

  https://en.wikipedia.org/wiki/Bibliomancy

"According to the Oxford English Dictionary,[1] the word  

bibliomancy  

(etymologically from βιβλίον biblion- "book" and μαντεία -manteía " 

divination by means of") "divination by books, or by verses of the Bible" was first recorded in 1753 (Chambers' Cyclopædia).  

Sometimes this term is used synonymously with stichomancy (from στίχος stichos- "row, line, verse") "divination by lines of verse in books taken at hazard", which was first recorded c. 1693 (Urquhart's Rabelais).

Bibliomancy compares with rhapsodomancy  

(from rhapsode "poem", "song", "ode")  

"divination by reading a random passage from a poem".