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The Lord has made everything for its own purpose, …
Everything that is made, whether by God or man, is made for its own purpose, just as hammer is made to drive nails, a car is made to transport people, etc. But that doesn't mean that the hammer was predestined to drive a specific nail into a specific piece of wood, nor that the car will experience a flat tire at a specific time and place.
… Even the wicked for the day of evil.
The Assyrians for instance were given a societal personality that allowed them to serve as a tool for the occasional correction of Israel at times when they drifted away from God's teaching and into idolatry.
But that doesn't mean that any individual Assyrian's actions were predetermined, only that, at the appropriate times, the one nation would attack the other.
The lot is cast into the lap, But its every decision is from the Lord.
Casting lots is a purely random non-supernatural process. There is nothing about the dice themselves that can be affected by the question being asked or the person asking the question.
But on some special occasions, when God does care about the outcome, that is when a supernatural decision is made, and that decision was from no source other than the Lord.
Other than that rare occurrence, the dice do not make decisions; people simply use them as a way of avoiding their own responsibility to make decisions.