Answer:
We can actually see that the big bang. Because of the way light travels, we have evidence with a microwave telescope of the universe being created from a kind of "big bang". However, it can be argued that the big bang is just god creating the universe from a specific spot.
Science can explain miracles, but often not in the way we want to. We might want to believe that a miracle happened when really it was just incredible luck. You can take that as you want. Maybe it's a miracle you didn't get hit by that car when you should have been, or maybe you just got lucky and moved just the right way.