Many advances in science occurred from a leap of faith and a prayer to one's greater power. Risk often run's counter to the survival instinct. Choices are subject to flaws in character and the relative morality of the situation at hand.
Science tells you how many fishes and loaves are needed to feed your Picnic, ethics and morality will tell you who gets the food when you run short.
Religion is a set of ethics and morals and tenets. How they are applied to one's everyday life varies. Religion often includes science. Take the observation of human behavior for example. Granted, religious history contains myths. Some would say those myths actually happened.
Our observations tell us the Big Bang happened, but we are extrapolating based on what we've seen and heard, not on what we witnessed for ourselves 15 billion years ago.
It depends upon how we apply either whether one is more useful than the other. Problems change. The abbots were scientists, the Mayans were very religious. Faith, reality, consequence, and dumb luck are intertwined with cause and effect.