Probability is part of what makes us human though, as with the ability to describe our odds of survival somewhere rather than simply feeling it in our bodies.

Our awareness of uncertainty and risk are rooted in emotion, or basic drives, and they later became quantitative disciplines, similar to psychology. Likely or unlikely outcomes have always shaped our actions and our beliefs, sometimes also in contrast to the odds, where things may become heroic, irresponsible, etc.

You might look to numbers not to justify your morality, which is a precise form of argument, but to investigate it. Numbers can bring you back in touch with basic human drives we may have forgotten in the realm of abstract thought. Justification can then be built on top of the findings of that investigation.