There is a short story I read quite a while ago, about a man who experiences just this succession of odds and experiences eternal life. It's "eternal life" because after a global catastrophe kills everyone on earth, his mind is recovered by alien visitors
I do like the idea that we each experience just one line among an enormous tree of events. I even subscribe to the idea to a certain extent. "In another branch of my experience, my best friend just died because the train actually hit him instead of clipping him." "In another branch of my existence, I'm already a successfull business man because I made *this* decision differently." And so on.