How can we even be nearly sure that this universe is not due to chance?
What does “due to chance” mean?
When people use “chance” like this, they usually mean something utterly unpredictable. What has ever been observed that exhibits this “utterly unpredictable” behavior?
The answer: Nothing behaves like this.
If there were things that were “utterly unpredictable”, then scientists would throw up their hands and take up dice tossing as their much more profitable occupation.
The scientist assumes that EVERYTHING is predictable (and they’re wrong in only one instance of course). The natural human (and animal as well) assumption is that the world is predictable. The UNnatural assumption is that the world is unpredictable.
Why would anyone START with the unnatural assumption, when all the evidence supports the natural assumption?
So, the universe is either a “big deterministic machine” which has existed forever and will exist forever where “God” means “the machine”,…
…or the universe is “the creation of the Creator” where “the Creator” is a non-machine (meaning a person or persons).
Either way “God” exists.
Those averse to the absurd consequences of “the infinities” choose the latter. Those who are more interested in “easy answers” than “obvious truth” choose the former.