The word "coincidence" means "a striking occurrence of two or more events at one time apparently by mere chance."
The reason this word is interesting to me is that I just re-watched the M. Night Shyamalan movie, Signs. There's a great line in that movie: "Is it possible that there are no coincidences?"
That line was spoken by the main character (played by Mel Gibson) at a low point in his life when he doubted the existence of God. The question he was asking seems to be, "Is it possible that there are no accidents, that everything that happens is really part of a divine plan?" His own answer was that of a skeptic: "No, there's no One up there guiding things or taking care of us or helping us. Things happen with no rhyme or reason. Our world is governed by pure chance."
By the end of the movie, he's had a change of heart. He recovers his faith in a God who is in control of every event in the universe.
I'm not sure we can ever say with certainty what God is up to. Seems every time I think I have God figured out, I find out later I'm wrong. But we CAN look back and see how God has used things that happened to us -- even bad things, tragic things -- to mature us, to help us, to make us better people.
Can you think of something that happened to you, which at the time looked like mere coincidence or chance, but later on you discovered it had a good purpose, even a divine purpose?