When the king of Babylon reached the fork in the road, he used pagan methods to determine which road he should take (cf. Isaiah 47:8-15). Belomancy involved writing various names on several arrows, mixing them in a quiver, and then drawing or throwing them out. The arrow chosen indicated the god"s selection. Teraphim were household idols that the pagans believed had connections with the spirits of departed ancestors who could communicate with them (necromancy). Hepatoscopy involved inspecting the liver or entrails of a sacrificed animal and making a decision based on their shape, color, and markings. [source][source][source]
Both Judah and Ammon had proved to be disloyal vassals; they had both rebelled against Babylon in593 B.C. The lot fell to go against Jerusalem and to besiege it rather than Rabbah. Obviously the Lord controlled the pagan means that Nebuchadnezzar used to determine what He should do ( Proverbs 16:33; Proverbs 21:1; Jeremiah 27:6). [source][source][source]