When you call it divine intervention it surely leads to you to question the reasons for this intervention? Such as child deaths, natural disasters and good fortune for bad people. Understanding natural happenings is understanding the universe doesn't give a fukk about us and happenings are sometimes purely chance.
But see the video kinda indirectly touches on this as well. You're viewing the universe from your view and trying to understand it from there. God puts us in certain situations that don't necessarily have to be good or bad, it's about your perception.
The death of a baby certainly seems devastating but it can also increase one's faith as well. The devastation is for the grieving family more than the baby and is only temporary because in the grand scheme of things, if God exists then what you perceive as death, a bad thing, is simply a transition, a good thing. And there is good in grief for those with the strength to find it.
Life is a test. See, in school, they teach you the lesson then give you the test. In life, you get the test, then you learn the lesson.
I don't believe in coincidences, friend. Do you think this conversation is merely a coincidence? If so you are only looking at the surface and I would encourage you to dig deeper in all things in life.