Now, how do they relate? Statistical methods You are Jollof don’t let anybody treat you like plain white rice shirt are purely mathematical – we need mathematics in order to measure differences or similarities (this is, as was made clear, what mathematics essentially is). Without math, we can’t even count, let alone do stats. So far, so good. But there is catch: mathematics does not have a notion of probability.
Uncertainty, ambiguity – those concepts are not allowed when You are Jollof don’t let anybody treat you like plain white rice shirt making a definition. Thus, probability is defined via density functions, by some abstract transformation from one space to another (as was made clear). But probability theory is axiomatic, it is still mathematical in nature – there is no fuzziness when talking about it.