At the moment there are for some, speculation as to how the Big Bang in this universe happened. What some call a miracle, science calls a one time event. Multi-universe theory aside, science does know the big bang of this universe was a one time event and some how or another the origin of life from non living matter.
The idea of us existing because of random chance is I think the least of all probabilities. Harold Horowitz computed to create bacterium would require more time than the universe has exsisted. Paul Davies thought life was built into the scheme of things in a very basic way. Simon Conway Morris professor of evolutionary paleobiology found the existence of life on earth appears to be surrounded by improbablities. Science as we know it today was even enough to persuade the late Mr. Antony Flew to change his mind.
The basic question of wether science and religion are mutaully exclusive reduces to wether there is a place for the metaphysical to be brought within what was once purely materialistic science. The discovery of the big bang, creation of time space and energy, the metamorphisis of that energy of creation into particles and the transformation of those particles into sentient beings alive with feelings of joy, the transcendental ecstasy of love (or as Aktungbby calls it "big bang"

) and self awarness, all cry out for an expalnation that seems to find its roots in something other than the material. Physical particles from which living bodies are constructed , the atoms and molecules show not one hint of sentience. How can we explain that a bundle of inert energy (super powerful rays of light) became alive?