Science does not have all the answers.
I love science -- geology, astronomy, mathematics, logic, computers, meteorology and more. But science can never answer creation, because creation is not subject to the tools of science and the realm in which they operate.
Science deals with the continuity of physical reality. Science depends upon the commensurability of action-reaction and the relationship of cause and effect.
Creation, on the other hand, exists in the realm of discontinuity. Science cannot touch this. I have seen such creation in action. This is the type of thing we would normally call a "miracle" or "magic." What separates this from anything science will ever explain is discontinuity. Creation breaks with the laws of continuity.
For instance, God is pure cause (perfect source). He can never be "at effect." This is like the Buddhist paramitas -- the Zen "one-sided coins" of existence. Ordinary good, for instance, is part of a dichotomy -- good-evil. But paramita "good" is the perfection of good without a spot of bad or evil. A more visceral example of this is with confidence. We humans are quite familiar with the dichotomy confidence-doubt. But a true miracle worker has only confidence which is transcendent and not part of any dichotomy. This is the confidence we usually think of as "faith." This is the confidence used by Peter when he stepped out of his storm-tossed boat onto the unsettled Sea of Galilee to meet his master. For a moment, he broke the laws of gravity and surface tension.
Such an occurrence is not an "accident" that can be answered by the laws of chance. It is not something that science can ever answer, because science is constrained by the laws of physical reality. But science does a great job of answering questions about those laws.