Religion (Christian at any rate) declaims that "God helps those who help themselves" so your example of standing in front of train, while praying it doesn't hit you, is a less than moot one. (Your little story about the women caught in the flood is good example of this by the way.)
Fact: Not all science is exact, and not all religion is a myth.
Medical science, for instance is, quite obviously, an inexact science and so, too, are other fields of science.
(Two of my favourite sceptic quotes: "Heavier-than-air flying machines are impossible. " - Lord Kelvin, ca. 1895, British mathematician and physicist
There is not the slightest indication that [nuclear energy] will ever be obtainable. It would mean that the atom would have to be shattered at will. - Albert Einstein, 1932.)
Yes, religion does declaim that if you pray hard enough you will be 'spared', and believe me I have seen it happen--mind over matter; power of prayer; an unknown force, I honestly don't know, or begin to understand it, but certainly it's something real and inexplicable. I'm certain not about to go closing my mind to the endless possibilities--facts or faith.
And, of course, a man named Jesus really did exist along with numerous other prophets; it's a part of history. And, maybe he did have the power to heal.
So, of religion and science, which is actually absolute, exact, and provable?
“There's no such thing as "for sure". That's the only sure thing I do know.” John Nash, A Beautiful Mind.