The definition of chance is NOT "not being able to attribute a cause to a phenomena." That, once again, since you seem to have missed it, is the definition of ignorance, not the definition of chance.
You are just incorrect about evolution, and the Big Bang, NOT being random in the atheistic worldview. I wrote a post about this on my blog but as I don't expect you to go there, I'll post the applicable parts here:
Nobel prize-winning French molecular biologist Jacques Monod put it:
"Pure chance, absolutely free but blind, [lies] at the very root of the stupendous edifice of evolution . . . The universe was not pregnant with life nor the biosphere with man. Our number came up in the Monte Carlo game."
Evolutionist K. Rohiniprasad, in her "The Accident of Human Evolution": "As the evolutionary biologist Stephen Jay Gould puts it, humans arose as a fortuitous contingent outcome of thousands of linked events. We should humbly acknowledge the fact that any one of these events could have occurred differently and sent history on an alternative pathway" (http://sulekha.com/blogs/blogdisplay.aspx?cid=3899). She then goes on to speak about four evolutionary turns, about those turns she says:
"It is important to realize that the above four incidents were totally unrelated and random. Like every other phenomenon or catastrophe that changed the course of events on the earth, biological evolution trundled along without any pre-ordained plan or purpose."
I could go on, so I will. Bertrand Russell, perhaps the most famous atheistic thinker in history puts it:
"Academic philosophers, ever since the time of Permenides, have believed that the world is unity . . . The most fundamental of my intellectual beliefs is that this is rubbish. I think the universe is all spots and jumps, without any unity, without continuity, without coherence or orderliness . . . Indeed there little but prejudice and habit to be said for the view that the is a world at all".
Here comes the nail in the coffin. Astronomer and cosmologist Marcus Chown comments:
Space and the material world come be created out of nothing but noise . . . According to [physicists] Reginald Cahill and Christopher Klinger of Flinders University in Adelaide, space and time and all the objects around us are no more than the froth on a deep sea of randomness.
He goes on to say:
"This is where physics comes in," says Cahill. "The universe is rich enough to be self-referencing. For instance, I'm aware of myself." This suggests that most of the everyday truths of physical reality, like most mathematical truths, have no explanation. According to Cahill and Klinger, that must be because reality is based on randomness. They believe randomness is more fundamental than physical objects. (Marcus Chown, "Random Reality," New Scientist (February 26, 2000)).
As you can see, you are being inconsistent with your own belief system and apparently understand it less than I do. If you want to disagree with scientists in the field, a Nobel prize-winner and Bertrand Russell, then be my guest, but you're not representing academia.
Two more points worth mentioning:
"There may have been something that caused the big bang, but I don't pretend to know what it is. That's religion's job. But what I can say is that magical god creatures that come along and create universes is a cop out explanation."
This is basically saying, "I don't know what caused the Big Bang, but I DO know what DIDN'T cause the Big Bang, and that's God!". Does that sound rational to you? This comment also betrays an apathy towards discovering, or thinking about, the origins of the Big Bang past your already decided upon position. Is this philosophical or scientific?
"I think the universe seems "ordered" because it's been subjected to natural constants."
So, are these "natural constants" outside the universe? If not, how does something that is in the universe also govern the universe? Outside of these questions, you are just flat begging the question about where these natural constants came from, which is exactly what we've been discussing this whole time.
"Oh really? Aren't rivers a part of the universe?"
This shows a fundamental misunderstanding of the principles of design. Do you really think Creationists believe the Earth hasn't changed since God created it? Design is more about the fact that water just happens to be a necessity for human life and just happens to end up on this planet (and isn't any where else that we can see) and gravity is find tuned to such a degree that if it were any higher or lower we wouldn't survive as a species; things like that.