Coincidence vs Providence

I have a friend who used to say that there's no such thing as luck, only statistics. It's all just a matter of chance and probability. What we're really saying when we say something that happened was bad luck is that the improbable (but not impossible) negative outcome happened. What we're really saying when we wish someone good luck is that we hope probabilities work in their favour. Then there are those moments when you really see how the stars have aligned. Yes, it's still probability at play - but I don't believe statistics preclude God's involvement; indeed I believe God can work with probabilities and against them. B, one of our clients, was diagnosed with cancer and given a 60-70% of responding to treatment and a 40% chance overall of recovering. Hospital A doesn't generally provide chemotherapy. They were going to send B home to free up a bed, and put her on the three-month waiting list at another hospital. It's Monday.