If you know that you don't know God, that is knowledge of God (that you don't know Him). Saying otherwise is completely disingenuous.
You are obviously confused, the object of my ignorance (God) is not known to exist, so I am free to not know about (not God) instead. Lack of knowledge of something specific is not knowledge (of that thing) it is knowledge of ones ignorance (on that subject).
It isn't knowledge about God, it's knowledge about the limitations of my knowledge, I don't know that I don't know God specifically, as I don't know that God exists.
I think you are distancing yourself from luck in order to make a point about probability that given the harmlessness of God, does not need to be made.
I don't know that God is harmless, or that the situation is about luck at all.
You would like to think of it this way, but these are your assumptions.
The fact is probability ultimately defines actuality, because luck always outweighs that which is not inevitable.
Probability defines actuality that happen in the future.
When assessing things that have already happened or already exist it defines how we assess actuality.
Luck or probability doesn't change actuality in any way shape or form.
If you grasped this, you might try to argue that the lucky streak however lucky would still fade as soon as you stopped playing, but that would be a reflection of your ability to hold on to luck, not a reflection on God's ability to give it to you.
If God exists, and cares about what I think, I am unlucky only in that this fact is particularly unapparent to me and I don't gamble with my beliefs.
So, why would God decide to leave that question to my luck?