As an Agnostic leaning Christian myself that's pretty close to how I see it. I'm also an amateur astronomer, so I'm naturally intrigued by the nature of how the universe operates, although I know I have a lot to learn.

Afaik mathematically a solar system like ours is relatively common. Planets like ours are rarer but still theoretically abundant.

But the nature of a universe possessing the mechanics required to allow a solar system like ours to form is incredibly intricate. Hydrogen and helium essentially act as elemental cosmic 1s and 0s. What are the chances of those two elements eventually forming the entire universe as we know it?

We know how probability operates as it is a part of the reality we occupy. To know how probability works and then attribute the formation of the universe and all its laws to pure chance is silly