Peter Thiel in his cult famous book among startups, Zero to One, has a chapter titled "You Are Not a Lottery Ticket." The message of the chapter is to say that the world view of looking at all success as coming from luck is counterproductive. He regards it as untrue, but makes the point to say that regardless of truth, it does nothing for you. After all, if luck is everything, why do anything? It's a powerful message, but it opens up another avenue Thiel leaves untouched: randomness vs. individuality.
What do statistics do for you? You are one person, why do you care what happens to other people in the context of making your own personal decisions? By definition, nobody knows you better than you. You are the sum total of both your DNA and your experiences, nature and nurture. Since your DNA is not very useful in terms of making day to day decisions, who you are is your past experiences, and in 99% of cases, an individual is the only one who has seen and know the ins and outs of all their experiences and how they reacted to them.
Statistics by definition only apply to large groups of people, not individuals. Not only do they not apply to individuals, they don't even exist in the context of one person. Statistics are always made from large groups of people, and always to make individuals feel like they should or shouldn't do something based on the outcome of the models.
This idea that something can be individualized from what most people do, or even 99.99% of people do, is as dangerous as it is erroneous, and it comes from Kant's idea of universalism. He makes the claim that how one ought to act should be based on how everybody should act. There's no reason that this should be true, or any compelling reason that there is any connection between how one person acts and how another person acts. The subjective theory of value dictates that people have different definitions of what is important, and act differently based on their own assessments. But universalism dictates the opposite, what is good for one person is good for everybody, it dictates an arbitrary objective truth that people can use to tyranically make it known what people need, and thus force them to act a certain way.
What defines humanity is what makes us different from other animals. Whatever that may be biologically, there is a diversity of being in humanity that does not exist among other species. I'll put myself at risk of sounding like a 15 year old who just read Nietszche for the first time, Tyler Durden says it best, "You have to claim your humanity, or you will become a statistic." If you don't seize your sense of individuality, you might as well have been born an animal, something malleable that can be manipulated into doing exactly what somebody else wants. Nobody knows you but you, so why would you let them act like they do?