This is an interesting if somewhat baffling question. A theist believes that there is a God. If a theist has no insight whatever into the personality of God, on what basis can s/he assume that God is responsible for all, any, half or none of the events in the universe ? God might be totally inactive - like the gods of Epicurus - and so (except by non-action) not responsible for any events let alone at least half of them. (Question : how does one individuate an event, so as to count events?)
Not sure that a theist can coherently have (or believe that they have) absolutely no insight into God's personality. If they can then God = X, an unknown. I think a theist must believe that God has some attribute - whether it's perfection, unchangeableness, omnipotence, all-goodness, omniscience. Something, surely, must be believed about the nature of God if God has any meaningful role in our language. Only on this ground can the degree or level of God's responsibility for events be assessed, let alone calculated.
I use the term 'responsible' but I'm not rephrasing your meaning. For purposes of this answer, if God is responsible for X then X is the work of God.