Indeed. The Bible says...
“The dice are cast into the lap. But every result is from the Lord.”
Random processes exclude God only if you think God’s power stops at the casino door, that God has no power over random processes. This is obviously a non-Biblical viewpoint, yet it is the favorite bugaboo of most Creationists. ‘You say it is random? That means you are excluding God!’. Only if you assume random is synonymous with “out of God’s control”.
Indeed it does. However, the intention of this passage is to communicate that there is no such thing as a random event. Even the roll of dice are managed by God. Thus the contention of evolutionists that all processes involved in natural selection are undirected and wholly “accidental” flies in the face of the passage you quote.